.

Спінові флюктуації в невпорядкованих феромагнетиках: Автореф. дис… канд. фіз.-мат. наук / Т.В. Кулій, Львів. держ. ун-т ім. І.Франка. — Л., 1999. —

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EUeA?ANUeEEE AeA?AEAAIEE OI?AA?NEOAO

?IAI? ?AAIA O?AIEA

Eoe?e Oa?an Aieiaeeie?iae/

OAeE 538.1:539.213

NI?IIA? OETHEOOAOe?? A IAAII?ssAeEIAAIEO

OA?IIAAIAOEEAO

01.04.02 symbol 150 \f “Times New Roman Cyr” Oai?aoe/ia o?ceea

Aaoi?aoa?ao aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei symbol 150 \f “Times New Roman Cyr” iaoaiaoe/ieo
iaoe

EUeA?A symbol 150 \f “Times New Roman Cyr” 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?? oai?aoe/ii? o?ceee Euea?anueeiai
aea?aeaaiiai oi?aa?neoaoo ?iai? ?aaia O?aiea.

Iaoeiaee ea??aiee: aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Aaea?/oe ?aai Ieaenaiae?iae/

(Euea?anueeee aea?aeaaiee oi?aa?neoao ?iai? ?aaia O?aiea, ?aeoi?)

Io?oe?ei? iiiiaioe:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, Aieiaa/ TH??e Aaneeueiae/,

noa?oee iaoeiaee ni?a?ia?oiee ?inoeoooo o?ceee eiiaeainiaaieo nenoai IAI
Oe?a?ie

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe, Aoa??e Aiaoie?e ?aaiiae/,

noa?oee iaoeiaee ni?a?ia?oiee ?inoeoooo oai?aoe/ii? o?ceee ?i. I. I.
Aiaiethaiaa IAI Oe?a?ie

I?ia?aeia onoaiiaa:

*a?i?aaoeueeee aea?aeaaiee oi?aa?neoao ?iai? TH??y Oaaeueeiae/a,
eaoaae?a oai?aoe/ii? o?ceee. I?i?noa?noai ina?oe Oe?a?ie. *a?i?aoe?.

Caoeno a?aeaoaeaoueny ” 24 “1999 ?. i 15 aiaeei? 30 oa. ia can?aeaii?
niaoe?ae?ciaaii? A/aii? ?aaee

Ae 35.051.09 i?e Euea?anueeiio aea?aeaaiiio oi?aa?neoao? ?iai? ?aaia
O?aiea ca aae?anith: 290005, i.Euea?a, aoe. Ae?aaiiaiiaa 50, aoaeeoi??y
1, o?ce/iee oaeoeueoao.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? Euea?anueeiai
aea?aeaaiiai oi?aa?neoaoo ?iai? ?aaia O?aiea (i.Euea?a, aoe.
Ae?aaiiaiiaa 5).

Aaoi?aoa?ao ?ic?neaii 22 ethoiai 1999 ?.

A/aiee nae?aoa?

ciaoe?ae?ciaaii? a/aii? ?aaee Aeaaee?anueeee E. O.

Caaaeueia oa?aeoa?enoeea ?iaioe

Aeooaeuei?noue oaie. Iaaii?yaeeiaai? iaai?oi? iaoa??aee a?aeaeaaia
oe?iei aeei?enoiaothoue a iae?icia?o?oeo oaoi?/ieo i?eno?iyo. Aa?oi
caaaeaoe oi/a a, ui naia iaaii?yaeeiaai? oa?iiaaiaoeee caeeoathoueny a
iao /an aieiaiei iaoa??aeii aeey aeaioiaeaiiy i?eno?i?a iai’yo?
eiii’thoa??a, aeey caieno ? caa?aaeaiiy cia?aaeaiiy oa caoeo a
?aae?iaeaeo?ioaoi?oe?. Naia oea i?eaa?ioei cia/io oaaao aeine?aeiee?a,
ye aenia?eiaioaoi??a oae ? oai?aoee?a, aei aea/aiiy aeanoeainoae
iaaii?yaeeiaaieo iaai?oieo nenoai.

Aenia?eiaioaeuei? aeine?aeaeaiiy nieaa?a cai?uaiiy, aii?oieo,
ae??aiiaeenia?nieo oa ??aeeeo iaaiaoee?a, a oaeiae ?ioeo iaai?oieo
nenoai c iaiaeii??aeiei ?iciiae?eii ia?aiao??a aeyaeee, ui
iaaii?yaeeiaai? iaai?oi? iaoa??aee iathoue ?yae oe?eaaeo aeanoeainoae ia
i?eoaiaiieo aii?yaeeiaaiei iaai?oiei nenoaiai. Iaeieie c iaeoe?eaa?oeo
yaeu, ui c’yaey?oueny a aii?oieo iaai?oieo nenoaiao ? oaca ni?iiaiai
neea oa i?io?aeia iaiaai?/oaai?noue, ui i?eaa?oathoue a inoaii? ?iee
cia/io oaaao ye aenia?eiaioaoi??a oae ? oai?aoee?a.

A oie /an ye aenia?eiaioaoi?e caeiaoee cia/i? oni?oe a aeine?aeaeaii?
iaaii?yaeeiaaieo iaai?oieo iaoa??ae?a, oai?aoe/i? aeine?aeaiiy oaeeo
nenoai c?oeioeeny c? cia/ieie iaoaiaoe/ieie o?oaeiiuaie. A oai???
iaai?oieo aeanoeainoae nieaa?a ? aii?oieo iaaiaoee?a iiaeia aeae?eeoe
e?eueea i?iaeai.

Ia?oa c ieo noino?oueny aeai?o iaoaiaoe/ii? iiaeae?. Oi/a a?eueo?noue
iaaii?yaeeiaaieo iaai?oieo niieoe ? aeia?eie i?ia?aeieeaie, aeey iieno
?o iaai?oieo aeanoeainoae /anoi aeei?enoiaothoue iiaeae? eieae?caaiaieo
iaai?oieo iiiaio?a. Oea iia’ycaii c iaeiiai aieo c oei, ui iiaeaeue
oa?i? symbol 150 \f “Times New Roman Cyr” ??aeeie oa iiaeaeue
Aaaaa?aea, ye? iae/ano?oa aeei?enoiaothoue aeey iieno iaaiaoecio
eieaeoeaieo aeaeo?ii?a, ? a?eueo neeaaeieie c iaoaiaoe/ii? oi/ee ci?o, a
c ae?oaiai aieo a?aeiii, ui naia Aaecaiaa??iaa iiaeaeue iaaiaoeea aea?
caaeia?eueia iiyniaiiy iaai?oieo no?oeoo? ? niaeo?o iaaiiiieo
caoaeaeaiue iaaiaoee?a, ye ae?aeaeo?ee?a, oae ? i?ia?aeiee?a.

?ioa i?iaeaia oai?aoe/iiai iieno iaaii?yaeeiaaieo iaaiaoee?a iia’ycaia
c a?aooaaiiyi ??cieo oei?a aaceaaeo. Aaeaea a?aeiii, ui iaa?oue o
aeiaaeeo ?aeaaeueiiai e?enoaeo oi/ii iiaeia a?aooaaoe eeoa iaeii symbol
150 \f “Times New Roman Cyr” oa aeaiiaaiiii? caoaeaeaiiy. Iaei?ino?oei
i?eeeaaeii iaaii?yaeeiaaii? iaai?oii? nenoaie ? nieaa cai?uaiiy, yeee
caa??aa? e?enoae?/io no?oeoo?o, aea i?e oeueiio /anoeia iaai?oieo aoii?a
o aoceao e?enoae?/ii? ??aoee cai?uaia iaiaai?oieie. O aeiaaeeo aii?oiiai
iaaiaoeea ie ciooai? a?aeiiaeoeny a?ae c?o/ii? e?enoae?/ii? ??aoee ?
aaiaeeoe cai?noue ia? a oai??th ooieoe?? ?iciiae?eo, ui ua a?eueoa
oneeaaeith? oai?aoe/i? ?ic?aooiee.

Caoaaaeeii, ui iaiaeii??aei?noue i?inoi?iaiai ?iciiae?eo iaai?oieo
aoii?a i?eaiaeeoue aei oetheooaoe?e iaiaai?/aiiino?, ye? a cia/i?e i???
coiiaeththoue niaoeeo?/io iiaaae?ieo iaaii?yaeeiaaieo iaai?oieo
iaoa??ae?a. Ei?aeoia a?aooaaiiy oeeo oetheooaoe?e ? neeaaeiith
iaoaiaoe/iith caaea/ath. O aeiaaeeo Aaecaiaa??iaiai iaaiaoeea
oetheooaoe?? iaiaai?/aiino? c?o/ii ?icaeoe ia aea? /anoeie, iaeia c yeeo
a?aoiao? eeoa iaiaeii??aei?noue ?iciiae?eo iaai?oieo aoii?a, iaoooth/e
a?aei?iiinoyie na?aaei?o cia/aiue iaai?oieo iiiaio?a ??cieo aoii?a, a
?ioa a?aoiao? aeania oetheooaoe?? na?aaeiueiai cia/aiiy iiiaioo
iaai?oieo aoii?a. A?eueo?noue ?ia?o c oai??? iaaii?yaeeiaaiiai
Aaecaiaa??iaiai iaaiaoeea a?aoiaothoue eeoa ia?oo /anoeio oetheooaoe?e
iaiaai?/aiino?, a oie /an ye ae?oaith /anoeiith iaooothoue,
i?eioneath/e, ui ?? a?aooaaiiy ia iiaea cia/ii ci?ieoe io?eiai?
?acoeueoaoe. I?ioa, iai ia a?aeiii i?i aeiaei? ?ic?aooiee oetheooaoe?e
na?aaei?o iaai?oieo iiiaio?a aoii?a, ye? a ia??oioiaoaaee oaea
i?eiouaiiy. A?eueoa oiai, a aenia?eiaioaeueieo aeine?aeaeaiiyo aoei
aeyaeaii aeaye? oe?eaa? aeanoeaino? iaaii?yaeeiaaieo oa?iiaaiaoee?a, ye?
ia iiaeia aoei iiynieoe aac a?aooaaiiy oeeo oetheooaoe?e. Cie?aia aoei
iieacaii, ui naia a?aooaaiiy oeeo oetheooaoe?e aea? ciiao iiynieoe
aiiiaeueio iiaaae?ieo eiinoaioe ni?i symbol 150 \f “Times New Roman Cyr”
oaeeueiai? aei?noeino? a aii?oieo oa?iiaaiaoeeao. I?ioa, ?ia?o, aea
aoee a i?iaaaeai? oai?aoe/i? ?ic?aooiee oeeo oetheooaoe?e c ia?oeo
i?eioeei?a, iane?eueee ie cia?ii, iaia, symbol 151 \f “Times New Roman
Cyr” ia?aaaaeii ?o iiaeaethaaee, ye aeaye? ooieoe?? oaiia?aoo?e ?
ciai?oiueiai iiey.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Aeena?oaoe?eia
?iaioa aeeiiaia o Euea?anueeiio aea?aeaaiiio oi?aa?neoao? ?iai? ?aaia
O?aiea ca?aeii ieai?a ?ia?o ca aea?aeathaeaeaoieie oaiaie Oo symbol 150
\f “Times New Roman Cyr” 396A “Aeine?aeaeaiiy no?oeoo?e oa
anoaiiaeaiiy caeiiii??iinoae ? oa?iiaeeiai?/ieo aeanoeainoae a
aaaaoieiiiiiaioieo iaoae?/ieo aii?oieo nenoaiao”, Oo symbol 150 \f
“Times New Roman Cyr” 579Ae “?ic?aooiie aia??aoe/ieo niaeo??a
aeaeo?iiieo, eieeaieo oa iaai?oieo caoaeaeaiue a iaaii?yaeeiaaieo
o?eao”, Oo symbol 150 \f “Times New Roman Cyr” 086A “Aeine?aeaeaiiy
aeeiai?/ieo ? oa?iiaeeiai?/ieo aeanoeainoae aaaaoieiiiiiaioieo
iaoae?/ieo nenoai” oa Oo symbol 150 \f “Times New Roman Cyr” 289A
“No?oeoo?a ? oa?iiaeeiai?/i? aeanoeaino? eiiaeainiaaieo nenoai c
??cieie oeiaie iaaii?yaeeiaaiino? (aii?oi? o?ea, e?enoaee c aeii?oeaie,
ieaciiiiae?ai? oa?i? symbol 150 \f “Times New Roman Cyr” nenoaie)”.

Iaoa ? caaea/? aeine?aeaeaiiy. Aieiaiith iaoith aeena?oaoe?eii? ?iaioe
? ?ic?aooiie na?aaei?o eaaae?aoe/ieo oetheooaoe?e iaiaai?/aiino?
iaaii?yaeeiaaiiai Aaecaiaa??iaiai oa?iiaaiaoeea aeey ??cieo oei?a
aaceaaeo oa aeine?aeaeaiiy ?oiueiai aieeao ia niaeo? aeaiaioa?ieo
caoaeaeaiue, aeeiai?/i? oa oa?iiaeeiai?/i? aeanoeaino? ?icaaaeaieo oa
aii?oieo oa?iiaaiaoee?a.

Cie?aia a ?iaio? ?ica’ycai? caaaeaiiy:

symbol 150 \f “Times New Roman Cyr” ?ic?iaeaia noaia ?ic?aooieo
ni?iiaeo oetheooaoe?e a ?icaaaeaiiio Aaecaiaa??iaiio oa?iiaaiaoeeo;

symbol 150 \f “Times New Roman Cyr” aeine?aeaeaiee aieea ni?iiaeo
oetheooaoe?e ia niaeo? ni?iiaeo oaeeue o ?icaaaeai?e ni?iia?e nenoai?;

symbol 150 \f “Times New Roman Cyr” io?eiai? ??aiyiiy aeey
iaiaai?/ai?no? ? ni?iiaeo oetheooaoe?e o ?icaaaeaiiio oa?iiaaiaoeeo i?e
iae?e eiioeaio?aoe?? iaiaai?oieo aeii?oie;

symbol 150 \f “Times New Roman Cyr” aea/aia iecueeioaiia?aoo?ia
iiaaae?iea iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e o ?icaaaeaiiio
oa?iiaaiaoeeo;

symbol 150 \f “Times New Roman Cyr” ?ic?iaeaia noaia ?ic?aooieo
oetheooaoe?e iaiaai?/aiino? a aii?oiiio oa?iiaaiaoeeo;

symbol 150 \f “Times New Roman Cyr” aeine?aeaeaiee aieea oetheooaoe?e
iaiaai?/aiino? ia aia???th ? caaanaiiy iaaiii?a a aii?oiiio
oa?iiaaiaoeeo;

symbol 150 \f “Times New Roman Cyr” io?eiaia ??aiyiiy aeey ni?iiaeo
oetheooaoe?e a aii?oi?e nenoai?;

symbol 150 \f “Times New Roman Cyr” aea/aia iecueeioaiia?aoo?ia
aneiioioeea iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e o Aaecaiaa??iaiio
aii?oiiio oa?iiaaiaoeeo.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. A aeena?oaoe?ei?e ?iaio?
aia?oa iaea?aeaii iaoiaeii aeai/aniaeo oaiia?aoo?ieo ooieoe?e Y??ia a
iaaeao iaaeeaeaiiy Oyae?eiaa nenoaio ??aiyiue aeey iaiaai?/aiino? oa
eaaae?aoe/ieo ni?iiaeo oetheooaoe?e aeey ?icaaaeaiiai Aaecaiaa??iaiai
oa?iiaaiaoeea. Iieacaii, ui oey nenoaia ? naiiocaiaeaeaiith i?e iae?e
eiioeaio?aoe?? iaiaai?oieo aeii?oie ?, oaeiae, o cai?iiiiiaaiiio
Eaiaeio? iaaeeaeaii? iaei?ino?oiai ?ic/aieaiiy.

. Io?eiaia caeaaei?noue ni?iiaeo oetheooaoe?e aeaea ciiao iienaoe
iecueeioaiia?aoo?io iiaaae?ieo niaeo?a ? caaanaiiy ni?iiaeo oaeeue o
?icaaaeaiiio oa?iiaaiaoeeo i?e iae?e eiioeaio?aoe?? iaiaai?oieo
aeii?oie.

Ciaeaeaiee ?acoeueoao aeey oetheooaoe?e aeaa ciiao aia?oa io?eiaoe
??aiyiiy aeey iaiaai?/aiino? ?icaaaeaiiai Aaecaiaa??iaiai oa?iiaaiaoeea,
yea aea? ciiao ?ic?aooaaoe oaiia?aoo?io oa iieueiao caeaaei?noue
iaiaai?/aiino? a e?i?eiiio ca eiioeaio?aoe??th iaiaai?oieo aeii?oie
iaaeeaeaii?. C oeueiai ??aiyiiy aoea io?eiaia, cie?aia,
iecueeioaiia?aoo?ia iiaaae?iea iaiaai?/aiino? ?icaaaeaiiai
oa?iiaaiaoeea.

Io?eiaia nenoaia ??aiyiue aeaea iiaeeea?noue aia?oa iieacaoe, ui,
cai?iiiiiaaia Eaiaeio? iaaeeaeaiiy iaei?ino?oiai ?ic/aieaiiy
eiio??o?aoe?eieo na?aaei?o i?eaiaeeoue aei iao?ce/iiai ?acoeueoaoo aeey
ni?iiaeo oetheooaoe?e, oi/a aiii aea? i?aaeeueiee ye?niee iien niaeo?o
oa iaiaai?/aiino? ?icaaaeaiiai oa?iiaaiaoeea.

A aeena?oaoe?? ae?noaa iiaeaeueoee ?icaeoie oai?aoe/iee iien aii?oieo
oa?iiaaiaoee?a ia iia? aeai/aniaeo oaiia?aoo?ieo ooieoe?e Y??ia,
cai?iiiiiaaiee O. Eaiaeio?, ?. I. Aaea?/oeii, TH. E. ?oaeaanueeei,
A. A. Iiiaae?eeii, A. I. Oea/oeii oa ?. O. Ia?aiee/. Eiee a iiia?aaei?o
?iaioao iacaaieo aaoi??a aai iaoooaaee ni?iiaeie oetheooaoe?yie, aai
iiaeaethaaee ?o aeayeith oaiiiaiieia?/iith ooieoe??th, a oe?e
aeena?oaoe?? aia?oa ?ic?aoiaaii ni?iia? oetheooaoe?? a iaaeao
iaaeeaeaiiy na?aaeiueiai iiey. Oea aeaei ciiao ?ic?aooaaoe eiinoaioo
ni?i symbol 150 \f “Times New Roman Cyr” oaeeueiai? aei?noeino? ?
eiao?oe??io caaanaiiy ni?iiaeo oaeeue oa iienaoe e?euee?nii aiiiaeueio
iiaaae?ieo eiinoaioe ni?i symbol 150 \f “Times New Roman Cyr”
oaeeueiai? aei?noeino? a aii?oiiio oa?iiaaiaoeeo.

Aeei?enoiaoth/e ??aiyiiy aeey iaiaai?/aiino? aii?oiiai oa?iiaaiaoeea,
cai?iiiiiaaia a aeena?oaoe?? A. I. Oea/oea, aia?oa ?ic?aoiaaia
iecueeioaiia?aoo?ia iiaaae?iea iaiaai?/aiino? aii?oiiai oa?iiaaiaoeea c
a?aooaaiiyi ni?iiaeo ? no?oeoo?ieo oetheooaoe?e.

A aeena?oaoe??, oaeiae, aia?oa io?eiaia ??aiyiiy aeey ni?iiaeo
oetheooaoe?e a aii?oiiio oa?iiaaiaoeeo a iaaeeaeaii? Oyae?eiaa ?
iieacaii, ui iaaeeaeaiiy iaei?ino?oiai ?ic/aieaiiy Eaiaeio?, i?eaiaeeoue
aei iao?ce/ieo ?ica’yce?a oeueiai ??aiyiiy. Aeey io?eiaiiy i?aaeeueii?
iiaaae?iee oetheooaoe?e iaiaai?/aiino? iaiao?aeii cai?iooe oe?eee ?yae
ca noaiaiyie oetheooaoe?e aonoeie aeey a?aeiia?aeii? eiio??o?aoe?eii
ona?aaeiaii? ooieoe?? Y??ia.

Aieiaieie iiaeie ?acoeueoaoaie aeena?oaoe?? ?:

symbol 149 \f “Times New Roman CE”  Iaoiae naiiocaiaeaeaiiai
?ic?aooieo ca aeiiiiiaith eiio??o?aoe?eii ona?aaeiaieo aeai/aniaeo
oaiia?aoo?ieo ooieoe?e Y??ia iaiaai?/aiino? ? ni?iiaeo oetheooaoe?e o
iaaii?yaeeiaaieo iaai?oieo nenoaiao. Nenoaie ??aiyiue aeey
iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e o ?icaaaeaiiio oa aii?oiiio
oa?iiaaiaoeeao.

symbol 149 \f “Times New Roman CE”  ??aiyiiy aeey iaiaai?/aiino?
?icaaaeaiiai oa?iiaaiaoeea a e?i?eiiio iaaeeaeaii? ca eiioeaio?aoe??th
iaiaai?oieo aeii?oie oa iecueeioaiia?aoo?ia aneiioioeea ?ica’yceo
oeueiai ??aiyiiy. Iecueeioaiia?aoo?ia iiaaae?iea iaiaai?/aiino?
aii?oiiai oa?iiaaiaoeea.

a ieie? ioey oaiia?aoo?e aeey eaaae?aoe/ieo ni?iiaeo oetheooaoe?e a
?icaaaeaiiio oa?iiaaiaoeeo.

symbol 149 \f “Times New Roman CE”  Aeiaaaeaiiy oiai, ui iaaeeaeaiiy
iaei?ino?oiai ?ic/aieaiiy, aea? iao?ce/iee ?acoeueoao aeey eaaae?aoe/ieo
ni?iiaeo oetheooaoe?e i?e iacia/iiio aaceaae?. Oea iaaeeaeaiiy iiaea
aooe aeei?enoaiei i?e ?ic?aooieo niaeo?o, iaiaai?/aiino? oa ni?iiaeo
oetheooaoe?e o iaaii?yaeeiaaieo oa?iiaai?oieo nenoaiao eeoa ca oiiae
neeueiiai aaceaaeo.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. I?iaaaeai? a aeena?oaoe??
oai?aoe/i? aeine?aeaeaiiy iaaii?yaeeiaaieo oa?iiaai?oieo nenoai
ni?eythoue aeeaoiio ?icoi?iith ?o o?ce/ieo aeanoeainoae. Io?eiai? a
?iaio? ?acoeueoaoe iiaeia aeei?enoaoe aeey iiyniaiiy oa ?ioa?i?aoaoe??
aenia?eiaioaeueieo ?acoeueoao?a aeine?aeaeaiiy aii?oieo oa?iiaaiaoee?a
oa oa?iiaai?oieo nieaa?a cai?uaiiy. Cie?aia, io?eiaia ??aiyiiy aeey
iaiaai?/aiino? ?icaaaeaiiai oa?iiaaiaoeea iiaea aooe aeei?enoaia aeey
?ioa?i?aoaoe?? aeine?aeaeaiue oaiia?aoo?ii? ? iieueiai? caeaaeiino?
iaiaai?/aiino? oaeeo nenoai.

Io?eiai? caeaaeiino? aeey ni?iiaeo oetheooaoe?e aeathoue ciiao
e?euee?nii iienaoe aiiiaeueio iiaaae?ieo eiinoaioe ni?i symbol 150 \f
“Times New Roman Cyr” oaeeueiai? aei?noeino? a aii?oieo oa?iiaaiaoeeao.

Cai?iiiiiaaiee a ?iaio? iaoiae naiiocaiaeaeaiiai ?ic?aooieo
iaiaai?/ai?no? oa ?? eaaae?aoe/ieo no?oeoo?ieo oetheooaoe?e iiaea aooe
ocaaaeueiaiee ia aeiaaeee aaaaoieiiiiiaioieo, ye e?enoae?/ieo, oae ?
aii?oieo ni?iiaeo nenoai.

Iniaenoee aianie caeiaoaa/a. O ?iaioao, aeeiiaieo c? ni?aaaoi?aie,
caeiaoaa/o iaeaaeeoue:

symbol 150 \f “Times New Roman Cyr” ?aeay io?eiaiiy ??aiyiiy aeey
eaaae?aoe/ieo ni?iiaeo oetheooaoe?e o ?icaaaeaiiio oa?iiaaiaoeeo a
iaaeao iaaeeaeaiiy Oyae?eiaa i?e ?ic?aooieo iaai?oieo aeanoeainoae
?icaaaeaiiai oa?iiaaiaoeea;

symbol 150 \f “Times New Roman Cyr” ?ic?aooiie iaiaai?/aiino? oa
ni?iiaeo oetheooaoe?e ?icaaaeaiiai oa?iiaaiaoeea o a?aieoe? iaei?
eiioeaio?aoe?? iaiaai?oieo aeii?oie;

symbol 150 \f “Times New Roman Cyr” aeaaaeaiiy ??aiyiiy aeey
eaaae?aoe/ieo ni?iiaeo oetheooaoe?e ? aiae?c iecueeioaiia?aoo?ii?
iiaaae?iee iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e o aii?oieo
oa?iiaaiaoeeao.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. ?acoeueoaoe aeine?aeaeaiue,
aeeth/ai? aei aeena?oaoe?? aoee i?aaenoaaeai? ? iaaiai?ai? ia oaeeo
eiioa?aioe?yo oa nai?ia?ao:

symbol 150 \f “Times New Roman Cyr” Oe?a?inueei-O?aioeocueeee
neiiic?oi “Eiiaeainiaaia ?a/iaeia: iaoea oa ?iaeono??y” (Euea?a,
1993 ?.);

symbol 150 \f “Times New Roman Cyr” I?aeia?iaeia eiioa?aioe?y c
iaaiaoecio (Aa?oaaa, 1994 ?.);

symbol 150 \f “Times New Roman Cyr” I?aeia?iaeia oeiea c oai?aoe/ieo
aniaeo?a iaaiaoecio ? nii??aeiaieo ieoaiue (Eoaeiaa Cae?oe, Iieueua,
1995 ?.);

symbol 150 \f “Times New Roman Cyr” I?aeia?iaeia ?iai/a ia?aaea
“Aoaeoe e?enoae?/iiai iiey a nenoaiao c ia?ao?aeieie iaoaeaie”(E?ae?a,
1995 ?.);

symbol 150 \f “Times New Roman Cyr” I?aeia?iaeia iaoeiaa eiioa?aioe?y
i?enay/aia 150-??//th a?ae aeiy ia?iaeaeaiiy aeaeaoiiai oe?a?inueeiai
o?ceea ? aeaeo?ioaoi?ea ?aaia Ioethy (Euea?a, 1995 ?.);

symbol 150 \f “Times New Roman Cyr” Aaniyia oeiea o?ceee
eiiaeainiaaieo nenoai “Aaceaae ? oain o eaaioiaeo nenoaiao” (O???no,
1996 ?.);

symbol 150 \f “Times New Roman Cyr” Iaoeiaee nai?ia? c noaoenoe/ii?
oai??? eiiaeainiaaieo nenoai (Euea?a, 1997 ?.);

symbol 150 \f “Times New Roman Cyr” ?IOAN-Oe?a?ia: ?iai/a ia?aaea c
o?ceee eiiaeainiaaii? ?a/iaeie (Euea?a, 1998 ?.).

?acoeueoaoe, iiaeai? a ?iaio?, iaaiai?thaaeeny oaeiae ia iaoeiaiio
nai?ia?? ?inoeoooo o?ceee eiiaeainiaaieo nenoai IAI Oe?a?ie oa
iaiaeii?aciai aeiiia?aeaeeny ia iaoeiaiio nai?ia?? eaoaae?e oai?aoe/ii?
o?ceee Euea?anueeiai aea?aeaaiiai oi?aa?neoaoo ?iai? ?aaia O?aiea.

Ioae?eaoe??. Iaoa??aee aeena?oaoe?? iioae?eiaai? a o?ueio aeo?iaeueieo
noaooyo ? oanoe oacao eiioa?aioe?e.

No?oeoo?a ? ia’?i aeena?oaoe??. Aeena?oaoe?y neeaaea?oueny c anooio,
/ioe?ueio ?icae?e?a, aeniiae?a oa nieneo aeei?enoaieo aeaea?ae. Ianya
aeena?oaoe?? 120 noi??iie, aeeth/ii c? nieneii aeei?enoaieo aeaea?ae, ui
i?noeoue 146 iaeiaioaaiue.

Iniiaiee ci?no ?iaioe

O anooi? ia??oioiaaia aeooaeuei?noue i?iaeai, ?icaeyiooeo o
aeena?oaoe??, iiaeaii ca’ycie ?iaioe c iaoeiaeie oaiaie, o ?iaio? iaae
yeeie i?eeiaa o/anoue aeena?oaio, aecia/aia iaoa ?iaioe, a?aeia?aaeaia
iiaecia iaea?aeaieo ?acoeueoao?a.

Ia?oee ?icae?e “Iaeyae e?oa?aoo?e” ie?aneth? no/aniee noai oai???
?icaaaeaieo oa aii?oieo oa?iiaaiaoee?a. A inoaii? ?iee iae?icia?o?o?
iaaii?yaeeiaai? iaai?oi? nenoaie caeeoathoueny iaeiei c iaea?eueo
i?eaaaeeaeo ia’?eo?a aeine?aeaeaiiy aeey aeia?eiaioaoi??a, ui ii?iaeaeo?
iaiao?aei?noue aeaeueoiai ?icaeoeo oai??? ?icaaaeaieo oa aii?oieo
oa?iiaaiaoee?a. ?yae aeanoeainoae i?eoaiaiiieo eeoa iaaii?yaeeiaaiei
iaai?oiei nenoaiai, oaeeo ye aiiiaeueia iiaaae?iea eiinoaioe ni?i symbol
150 \f “Times New Roman Cyr” oaeeueiai? aei?noeino? a caeaaeiino? a?ae
ciai?oiueiai iiey ? eiioeaio?aoe?? iaai?oieo aoii?a, i?io?aeiee
iaaiaoeci, ni?iiaa neei, eieae?caoe?y iaai?oieo caoaeaeaiue, caeeoathoue
ua aaaaoi caieoaiue aei oai?aoee?a. Aeey aeayeeo c ieo aaeaeiny ciaeoe
eeoa ni?iuaia ye?nia iiyniaiiy. Iaei?ino?oa iiaeaeue, yea aea? ciiao
?ic?aooaaoe niaeo?aeuei?, aeeiai?/i? oa oa?iiaeeiai?/i? oa?aeoa?enoeee
oa?iiaaiaoeea c ??cieie oeiaie aaceaaeo, oea iiaeaeue Aaecaiaa??a. Oi/a
oey iiaeaeue aeaaaeaia aeey iieno ae?aeaeo?e/iiai oa?iiaaiaoeea, aea c
aenia?eiaioaeueieo, cie?aia iaeo?iiineii?/ieo, aeine?aeaeaiue aeia?a
a?aeiii, ui niaeo? ni?iiaeo caoaeaeaiue oe?eiai ?yaeo iaoae?a oa
i?ia?aeieo nieaa?a /oaeiai ocaiaeaeo?oueny c ia?aaeaa/aiiyie
Aaecaiaa??iai? iiaeae? eieaeueiiai iaaiaoecio.

A ?yae? ?ia?o aoei iieacaii, ui niaeo?aeuei? oa?aeoa?enoeee ni?iiaeo
oaeeue o iaaii?yaeeiaaiiio oa?iiaaiaoeeo iiaeia ae?aceoe o aeaeyae?
?yaeo ca oetheooaoe?yie iaiaai?/aiino?. A iaei?ino?oiio iaaeeaeaii?
iiaeia iaiaaeeoeny ?icaeyaeii eeoa eaaae?aoe/ieo oetheooaoe?e. Aeania
oiio aeieea? oe?eaaa caaea/a naiiocaiaeaeaiiai ?ic?aooieo
iaiaai?/aiiino? oa ?? na?aaei?o eaaae?aoe/ieo oetheooaoe?e. A aaaaoueio
iiia?aaei?o ?iaioao i?e ?icaeyae? ?icaaaeaiiai ? aii?oiiai
Aaecaiaa??iaiai oa?iiaaiaoeea aoee a?aoiaai? eeoa oetheooaoe??
no?oeoo?e, a oetheooaoe?? na?aaeiueiai cia/aiiy ni?ia ia ??cieo aoceao
ia a?aoiaoaaeeny. Caaaeaiiyi aeena?oaoe?eii? ?iaioe aoei ?ic?aooaaoe
eaaae?aoe/i? oetheooaoe?? iaiaai?/aiino? a ?icaaaeaiiio oa aii?oiiio
oa?iiaaiaoeeao oa i?iaiae?coaaoe ?oi?e aieea ia niaeo? ni?iiaeo oaeeue
oa iaiaai?/ai?noue.

O ae?oaiio ?icae?e? “Aieea no?oeoo?ieo ni?iiaeo oetheooaoe?e ia niaeo?
ni?iiaeo caoaeaeaiue ?icaaaeaiiai oa?iiaaiaoeea” cai?iiiiiaaii i?aeo?ae,
yeee aea? ciiao ca aeiiiiiaith iaoiaeo aeai/aniaeo oaiia?aoo?ieo
ooieoe?e Y??ia aeine?aeeoe aieea no?oeoo?ieo oetheooaoe?e ia
oa?iiaeeiai?/i? aeanoeaino? ? niaeo? ni?iiaeo oaeeue ?icaaaeaiiai
Aaecaiaa??iaiai oa?iiaaiaoeea.

aoce?a, a yeeo aeiaaeeiaei /eiii ?iciiae?eai? iaai?oi? aoiie. Oaea
nenoaia iiaea aooe iienaia ?cio?iiiei aai?eueoii?aiii Aaecaiaa??a

, (1)

symbol 150 \f “Times New Roman Cyr” oee aocie iaai?oiei aoiiii.

Aeey ciaoiaeaeaiy niaeo?o aeaiaioa?ieo caoaeaeaiue iaoi? nenoaie c?o/ii
aeei?enoaoe cai?cithaaeueio aeai/aniao ooieoe?th Y??ia

. (2)

symbol 151 \f “Times New Roman Cyr” eiioeaio?aoe?y iaai?oieo
aoii?a.

. Aeey i?inoi? eoa?/ii? ??aoee c? aca?iiae??th iaeaeeae/eo non?ae?a
oeae ae?ac iaae?a? aeaeyaeo

, (3)

aea

, (4)

.

. Noaiaea?oiei /eiii ie io?eio?ii

. (5)

Ona?aaeithth/e oea ??aiyiiy ca eiio??o?aoe?yie, ie io?eio?ii ??aiyiiy
aeey iaiaai?/aiiino?

, (6)

, a oaeiae a?aooaaee oie oaeo, ui ona?aaeiaia iaeiiaoceiaa ooieoe?y
Y??ia ia caeaaeeoue a?ae iiia?a aocea. Oaeee caien niaeo?aeueii? aonoeie
iaiaai?/aiino? aea? ciiao aeei?enoiaoaaoe ?iioeuenia cia?aaeaiiy
ooieoe?? Y??ia aeey ?ic?aooieo iaiaai?/aiino?

? ona?aaeithth/e oeae aeiaooie ca eiio??o?aoe?yie, ie io?eio?ii
??aiyiiy aeey na?aaei?o eaaae?aoe/ieo oetheooaoe?e.

Iiaeia eaaei iieacaoe, ui oetheooaoe?? iaiaai?/aiino? ?iciaaeathoueny
ia aeaa aeiaeaiee:

, (7)

symbol 151 \f “Times New Roman Cyr” na?aaei? ni?iia? oetheooaoe?? c
?ic?aooieo ia iaai?oiee aoii, ye?, aeania, oe?eaai aoei ?ic?aooaaoe.
Io?eiaia iaie ??aiyiiy aeey ni?iiaeo oetheooaoe?e a iaac?ici??ai?e oi?i?
ia? aeaeyae

, (8)

aea

. (9)

symbol 151 \f “Times New Roman Cyr” iaac?ici??ai? iaa?iaia
oaiia?aoo?a ? iai?oaeai?noue ciai?oiueiai iaai?oiiai iiey a?aeiia?aeii.

a oa?i?iao iaiaai?/aiino? ? eaaae?aoe/ieo ni?iiaeo oetheooaoe?e ?,
oaeei /eiii, caieea? nenoaio ??aiyiue (6)-(8). Oi/a oey nenoaia ??aiyiue
aeineoue neeaaeia ? a caaaeueiiio aeiaaeeo iiaea aooe ?ica’ycaia eeoa
/enaeueii, aaea?oueny io?eiaoe a yaiiio aeaeyae? iecueeioaiia?aoo?io
aneiioioeeo ni?iiaeo oetheooaoe?e:

, (10)

aea

, (11)

, (12)

. (13)

symbol 151 \f “Times New Roman Cyr” eiinoaioa ni?i symbol 150 \f
“Times New Roman Cyr” oaeeueiai? aei?noeino? ia?icaaaeaiiai
oa?iiaaiaoeea ii?iiaaia ia iaiaai?/ai?noue.

Aeaeii, ui ae?ac aeey na?aaei?o eaaae?aoe/ieo oetheooaoe?e ?
a?ae’?iiei, i?eiaeii? aeey iaeeo eiioeaio?aoe?e iaiaai?oieo aeii?oie,
eiee ie iiaeaii ciaoooaaoe ae?oaei aeiaeaieii o ae?ac? (11). Oaeei
/eiii, iaei?ino?oa iao?ea?aeueia ?ic/aieaiiy i?eaaei ian aei iao?ce/iiai
?acoeueoaoo aeey oaiia?aoo?ii? caeaaeiino? eaaae?aoe/ieo oetheooaoe?e
iaiaai?/aiino? iaai?oii? i?aenenoaie.

. Aeey io?eiaiiy i?aaeeueii? oaiia?aoo?ii? iiaaae?iee iaiaai?/aiino? oa
?? eaaae?aoe/ieo oetheooaoe?e o ?icaaaeaiiio oa?iiaaiaoeeo iaiao?aeii
?ic?aooaaoe oe? ooieoe?? oi/i?oa, i?ae oea aea? ciiao c?iaeoe
iaei?ino?oa ?ic/aieaiiy eiio??o?aoe?eieo na?aaei?o.

O o?aoueiio ?icae?e? “Ni?iia? oetheooaoe?? o ?icaaaeaiiio
oa?iiaaiaoeeo i?e iae?e eiioeaio?aoe?? iaiaai?oieo aeii?oie” iieacaii,
ui a oaeiio aeiaaeeo nenoaia ??aiyiue aeey iaiaai?/aiino? oa ni?iiaeo
oetheooaoe?e noa? caieiaiith. ?ic?aoiaaii oaiia?aoo?io oa iieueiao
caeaaeiino? iaiaai?/aiino? o e?i?eiiio ca eiioeaio?aoe??th iaiaai?oieo
aeii?oie iaaeeaeaii?, a oaeiae na?aaei? eaaae?aoe/i? ni?iia?
oetheooaoe?? o eaaae?aoe/iiio iaaeeaeaii? ca eiioeaio?aoe??th aeii?oie.

O aeiaaeeo iaei? eiioeaio?aoe?? iaiaai?oieo aoii?a ie iiaeaii
ciaoooaaoe ei?aeyoe?yie oetheooaoe?e ia ??cieo aoceao ? aaaeaoe, ui

. (14)

. Iiaeia eaaei ia?ana?ae/eoeny, ui

. (15)

Ie, cae/aeii, ia cia?ii caeiio ?iciiae?eo oetheooaoe?e iaiaai?/aiino?,
aea i?e?iaeii i?eionoeoe, ui, iiae?aii aei Yaoniaiai ?iciiae?eo, aeu?
i?ae eaaae?aoe/i? oetheooaoe?? iaiaai?/aiino? ? aaee/eiaie aeuiai
ii?yaeeo iaeino? ? ie iiaeaii ciaoooaaoe ieie a e?i?eiiio iaaeeaeaii? ca
eiioeaio?aoe??th iaiaai?oieo aeii?oie:

. (16)

Iaaeae? ie aoaeaii iaoooaaoe aeueie i?ae ae?oaee iiiaioaie
iaiaai?/aiino? iaai?oii? i?aenenoaie.

o (8) iieacaea, ui na?aaei? eaaae?aoe/i? ni?iia? oetheooaoe?? ?
aeuiai, i?ae e?i?eiee, ii?yaeeo iaeino? ca eiioeaio?aoe??th aeii?oie.

symbol 150 \f “Times New Roman Cyr” aei??ii? eoa?/ii? ??aoee. Ie
aeine?aeeee aeiaaioaeeueiao a?aieoeth io?eiaii? ooieoe?? Y??ia ?
iaea?aeaee ae?ace aeey eiinoaioe ni?i-oaeeueiai? aei?noeino? oa
eiao?oe??ioa caaanaiiy ni?iiaeo oaeeue.

??aiyiiy aeey niaeo?o ni?iiaeo oaeeue o i?ino?e eoa?/i?e ??aooe? c?
aca?iiae??th iaeaeeae/eo non?ae?a ia? oaeee ?ica’ycie o aeiaaioaeeueia?e
aneiioioeoe?:

, (17)

, yeee o e?i?eiiio ca eiioeaio?aoe??th aeii?oie iaaeeaeaii? ia? aeaeyae

. (18)

Oe?eaai ii??aiyoe ?acoeueoao (18) aeey ia?eieyoe?eiiai ii?iao c ae?acii
(3), io?eiaiei o iiia?aaeiueiio ?icae?e? o iaaeeaeaii? iaei?ino?oiai
?ic/aieaiiy. Ie aa/eii, ui

. (19)

iathoue iaeiaeiao aneiioioeeo a a?aieoe? aaeeeeo ?ici??iinoae
i?inoi?o.

, i?ae ?acoeueoaoe io?eiai? c oi?ioee Aaoa.

, io?eiaiee o e?i?eiiio ca eiioeaio?aoe??th aeii?oie iaaeeaeaii?.

, a ?icaaaeaiiy i?eaiaeeoue aei oaeaeoiai niaaeaiiy iaiaai?/aiino? c
oaiia?aoo?ith. Ie io?eiaee yaiee aeaeyae iecueeioaiia?aoo?ii?
aneiioioeee iaiaai?/aiino? aeey aeiaaeeo i?inoi? 3 symbol 150 \f “Times
New Roman Cyr” aei??ii? eoa?/ii? ??aoee c? aca?iiae??th iaeaeeae/eo
non?ae?a:

, (20)

aea

. (21)

. Aeey aeiaaeeo i?inoi? 3 symbol 150 \f “Times New Roman Cyr” aei??ii?
eoa?/ii? ??aoee c? aca?iiae??th iaeaeeae/eo non?ae?a ie io?eiaee yaiee
aeaeyae iecueeioaiia?aoo?ii? caeaaeiino? eaaae?aoe/ieo ni?iiaeo
oetheooaoe?e:

. (22)

O /aoaa?oiio ?icae?e? “Co?oeoo?i? oetheooaoe?? iaiaai?/aiino? oa
niaeo? ni?iiaeo caoaeaeaiue aii?oiiai oa?iiaaiaoeea” aeine?aeaeaiee
aieea ni?iiaeo oetheooaoe?e ia iaaiiiiee niaeo? aii?oiiai oa?iiaaiaoeea.

, aca?iiae?th i?ae yeeie iieno? ?cio?iiiee aai?eueoii?ai Aaecaiaa??a

, (23)

.

oaei? nenoaie o iaaeeaeaii? iaei?ino?oiai ?ic/aieaiiy ? iieacaii, ui
iecueeioaiia?aoo?i? aeanoeaino? aii?oiiai oa?iiaaiaoeea iiaeia iienaoe
iaaeeaeaii a oa?i?iao na?aaei?o eaaae?aoe/ieo ni?iiaeo oetheooaoe?e.

Aeoiaey/e c oiai, ui ni?iia? oetheooaoe?? iiai?noth aecia/athoueny
oetheooaoe?yie no?oeoo?e, ie ciaeoee ca’ycie i?ae oeeie aeaiia
aaee/eiaie a iaaeeaeaii? na?aaeiueiai iiey ? iieacaee, ui a?aooaaiiy
ni?iiaeo oetheooaoe?e i?eaiaeeoue aei ia?aii?ioaaiiy no?oeoo?iiai
oaeoi?a, ii??aiyii c ae?acaie, a yeeo no?oeoo?i? oetheooaoe?? ia
a?aoiaoaaeeny.

Aeoiaey/e c io?eiaieo ae?ac?a aeey eiio??o?aoe?eii ona?aaeiaii?
ooieoe?? Y??ia, i?iaiae?ciaai? niaeo? oa caaanaiiy ni?iiaeo oaeeue a
aii?oiiio oa?iiaaiaoeeo. Iieacaii, ui a?aooaaiiy ni?iiaeo oetheooaoe?e
ia ci?ith? ye?nii niaeo? ni?iiaeo oaeeue o aii?oiiio oa?iiaaiaoeeo, ?
ia/eneaii eiinoaioo ni?i symbol 150 \f “Times New Roman Cyr” oaeeueiai?
aei?noeino?:

, (24)

. (25)

Ooo ie aaaee iicia/aiiy

, (26)

symbol 151 \f “Times New Roman Cyr” n?oeoo?iee oaeoi? aii?oiiai
iaoa??aeo. O oeueiio ae iaaeeaeaii? ia/eneaiee eiao?oe??io caaanaiiy
ni?iiaeo caoaeaeaiue. ?ic?aoiaai? ae?ace aeathoue ciiao iiynieoe
aiiiaeueio iiaaae?ieo eiinoaioe ni?i symbol 150 \f “Times New Roman Cyr”
oaeeueiai? aei?noeino? a aii?oiiio oa?iiaaiaoeeo.

Ca aiaeia??th c io?eiaiei A. I. Oea/oeii ??aiyiiyi aeey iaiaai?/aiino?
aii?oiiai oa?iiaaiaoeea, ie io?eiaee ??aiyiiy aeey eaaae?aoe/ieo
ni?iiaeo oetheooaoe?e:

, (27)

aea

, (28)

, (29)

, yeo iiaeia ?ic?aooaaoe iaaeeaeaii noaiaea?oieie iaoiaeaie.

:

, (30)

, ui i?eaiaeeoue aei aiaeia?/ii? iecueeioaiia?aoo?ii? iiaaae?iee
iaiaai?/aiino? aii?oiiai oa?iiaaiaoeea, ye ? o aeiaaeeo e?enoae?/ii?
nenoaie.

?ic?aooiie iecueeioaiia?aoo?ii? iiaaae?iee oetheooaoe?e iaiaai?/aiino?
o iaaeeaeaii? iaei?ino?oiai ?ic/aieaiiy aea? iai

, (31)

, i?ioa ?ic?aoiaaiee eiao?oe??io i?noeoue a?eueiee ia?aiao?, ui ?
iane?aeeii c?iaeaiiai iaaeeaeaiiy. Aeey ??cieo cia/aiue ia?aiao?a ie
io?eio?ii, ye iao?ce/i? a?ae’?ii?, oae ? o?ce/i? aeiaeaoi? cia/aiiy
eiao?oe??ioa. Aeey oiai, uia io?eiaoe ei?aeoia cia/aiiy eiao?oe??ioa
iecueeioaiia?aoo?ii? aneiioioeee eaaae?aoe/ieo ni?iiaeo oetheooaoe?e,
iaiao?aeii, ye ? o aeiaaeeo ?icaaaeaiiai oa?iiaaiaoeea, oi/i?oa
?ic?aooaaoe a?aeiia?aeio eiio??o?aoe?eii ona?aaeiaio ooieoe?th Y??ia,
a?aoiaoth/e aianee a?ae oe?eiai ?yaeo ca oetheooaoe?yie aonoeie.

Aeniiaee

Oi/a oai??y iaaii?yaeeiaaieo iaai?oieo nenoai ?icaeaa?oueny aaea iaeaea
i?a noie?ooy, ooo caeeoa?oueny ua aaaaoi ia?ica’ycaieo i?iaeai. Iaeiei c
aieiaieo caaaeaiue o?ceee iaaii?yaeeiaaieo nenoai caeeoa?oueny
aeine?aeaeaiiy aieeao oetheooaoe?e ??cieo ia?aiao??a nenoaie ia ??
aeanoeaino?.

A aeena?oaoe? aoei iinoaaeaii caaaeaiiy ?ic?aooaaoe ni?iia?
oetheooaoe?? aeey oa?iiaai?oieo nenoai c ??cieie oeiaie aaceaaeo ?
i?iaiae?coaaoe ?oi?e aieea ia iaai?oi? aeanoeaino? oa niaeo? ni?iiaeo
caoaeaeaiue. Aeey aeine?aeaeaiue aoa ia?aiee iaoiae aeai/aniaeo
oaiia?aoo?ieo ooieoe?e Y??ia, ye iaeei c iaea?eueo oe?iei aaeeaaieo a
oai??? iaaii?yaeeiaaieo nenoai.

Ia iniia? oeueiai iaoiaeo a aeena?oaoe?? aia?oa iaea?aeaii a iaaeao
iaaeeaeaiiy Oyae?eiaa nenoaio ??aiyiue aeey iaiaai?/aiino? oa
eaaae?aoe/ieo ni?iiaeo oetheooaoe?e aeey ?icaaaeaiiai Aaecaiaa??iaiai
oa?iiaaiaoeea. Iieacaii, ui oey nenoaia ? naiiocaiaeaeaiith i?e iae?e
eiioeaio?aoe?? iaiaai?oieo aeii?oie ? oaeiae a cai?iiiiiaaiiio Eaiaeio?
iaaeeaeaii? iaei?ino?oiai ?ic/aieaiiy. Ie ?ica’ycaee nenoaio ??aiyiue
aeey iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e a iaaeeaeaii? iaei?ino?oiai
?ic/aieaiiy ? iieacaee, ui oaea iaaeeaeaiiy ye?nii aeia?a iieno?
iiaaae?ieo iaiaai?/aiino? ? niaeo?o ni?iiaeo oaeeue, aea i?eaiaeeoue aei
iao?ce/iiai ?acoeueoaoo aeey ni?iiaeo oetheooaoe?e. Na?aaei?
eaaae?aoe/i? ni?iia? oetheooaoe??, ?ic?aoiaai? o iaaeeaeaii?
iaei?ino?oiai ?ic/aieaiiy, noathoue a?ae’?iieie i?e iaeeo
eiioeaio?aoe?yo iaiaai?oieo aeii?oie.

. Oeae ?acoeueoao ia??oioiao? aeioe?euei?noue iaoooaaiiy ni?iiaeie
oetheooaoe?yie i?e aeine?aeaeaii? iaiaai?/aiino? oa niaeo?o ?icaaaeaieo
nenoai c iaeith eiioeaio?aoe??th iaiaai?oieo aeii?oie. Io?eiai? iaie a
e?i?eiiio iaaeeaeaii? ca eiioeaio?aoe??th aeii?oie ?acoeueoaoe aeey
iaiaai?/aiino? oa niaeo?o ni?iiaeo oaeeue ca?aathoueny c ?acoeueoaoaie
?ioeo aaoi??a.

?icaeiooee iaie i?e aeine?aeaeaii? ?icaaaeaiiai oa?iiaaiaoeea i?aeo?ae,
canoiniaaiee a aeena?oaoe??, oaeiae, aeey aea/aiiy aii?oiiai
oa??iiaaiaoeea. Nii/aoeo ie ?ic?aooaaee ca’ycie i?ae ni?iiaeie
oetheooaoe?yie ? oetheooaoe?yie no?oeoo?e a iaaeeaeaii? na?aaeiueiai
iiey. Oea aeaei ciiao ?ic?aooaaoe eiinoaioo ni?i symbol 150 \f “Times
New Roman Cyr” oaeeueiai? aei?noeino? ? eiao?oe??io caaanaiiy ni?iiaeo
oaeeue oa iienaoe e?euee?nii aiiiaeueio iiaaae?ieo eiinoaioe ni?i symbol
150 \f “Times New Roman Cyr” oaeeueiai? aei?noeino? a aii?oiiio
oa?iiaaiaoeeo.

Aeae? ie aeaaee ??aiyiiy aeey ni?iiaeo oetheooaoe?e a iaaeao
iaaeeaeaiiy Oyae?eiaa ?, oaeei /eiii, io?eiaee nenoaio ??aiyiue aeey
iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e. A aeena?oaoe?? iieacaii, ui ye
? o aeiaaeeo ?icaaaeaiiai iaaiaoeea, iaaeeaeaiiy iaei?ino?oiai
?ic/aieaiiy aea? ciiao caieiooe oeth nenoaio. Aiae?c
iecueeioaiia?aoo?ii? iiaaae?iee ?ica’yce?a ??aiyiue aeey iaiaai?/aiino?
oa ni?iiaeo oetheooaoe?e, io?eiaieo a iaaeao oeueiai iaaeeaeaiiy,
iieacaa, ui aeey ni?iiaeo oetheooaoe?e aiii i?eaiaeeoue aei iao?ce/ii?
iiaaae?iee, a oie /an ye io?eiaia iecueeioaiia?aoo?ia aneiioioeea aeey
iaiaai?/aiino? oa niaeo?o ni?iiaeo oaeeue ca?aa?oueny c ?acoeueoaoaie
?ioeo aaoi??a.

Oaeei /eiii, ie iiaeaii noaa?aeaeoaaoe, ui io?eiai? iaie iia?
?acoeueoaoe a a?aie/iiio aeiaaeeo ocaiaeaeothoueny c ?acoeueoaoaie ?ioeo
aaoi??a ? iiaeooue aooe aeei?enoai? aeey iiyniaiiy ?acoeueoao?a
aenia?eiaioaeueieo aeine?aeaeaiue e?enoae?/ieo nieaa?a cai?uaiiy oa
iaeiini?oieo aii?oieo oa?iiaaiaoee?a. Cai?iiiiiaaiee iaoiae iiaea aooe
ocaaaeueiaiee ? ia aeiaaeie neeaaei?oeo iaaii?yaeeiaaieo iaai?oieo
nenoai.

Iniiai? ?acoeueoaoe aeena?oaoe?? iioae?eiaai? a oaeeo ?iaioao:

1. Vakarchuk I. O., Tkachuk V. M., Kuliy T. V. Magnetic Properties of
Dilute Alloys: Equations for Magnetization and Its Structural
Fluctuations. // Phys. Stat. Solidi (b). symbol 151 \f “Times New Roman
Cyr” 1998. symbol 151 \f “Times New Roman Cyr” V. 208, No 1.
symbol 151 \f “Times New Roman Cyr” P. 167 symbol 150 \f “Times New
Roman Cyr” 186.

2. Vakarchuk I. O., Tkachuk V. M., Kuliy T. V. The influence of
structure disorder on mean atomic moment fluctuations and the spin-wave
spectrum // J. Magn. Magn. Mater. symbol 151 \f “Times New Roman Cyr”
1995. symbol 151 \f “Times New Roman Cyr” V. 146, No 1 symbol 150 \f
“Times New Roman Cyr” 2. symbol 151 \f “Times New Roman Cyr” P. 191
symbol 150 \f “Times New Roman Cyr” 194.

3. Vakarchuk I. O., Tkachuk V. M., Kuliy T. V. The influence of spin
structural fluctuations on the spectrum and damping of spin waves in
amorphous ferromagnets // Cond. Matt. Phys. symbol 151 \f “Times New
Roman Cyr” 1994. No 3. symbol 151 \f “Times New Roman Cyr” P. 176
symbol 150 \f “Times New Roman Cyr” 180.

4. Kuliy T. V. Magnetic properties of dilute alloys: equation for
magnetization and its structural fluctuations // INTAS*Ukraine: Workshop
on Condensed Matter Physics. Lviv, May 21 symbol 150 \f “Times New Roman
Cyr” 24, 1998. symbol 151 \f “Times New Roman Cyr” Lviv. symbol 151
\f “Times New Roman Cyr” 1998. symbol 151 \f “Times New Roman Cyr”
P. 110.

5. Oea/oe A. I., Eoe?e O. A. Ni?iia? oaee? oa oetheooaoe??
iaiaai?/aiino? a ?icaaaeaiiio Aaecaiaa??iaiio oa?iiaaiaoeeo// Iaoeiaee
nai?ia? c noaoenoe/ii? oai??? iaaii?yaeeiaaieo nenoai. I?ia?aia ? oace
aeiiia?aeae. Euea?a. symbol 151 \f “Times New Roman Cyr” 1997.
symbol 151 \f “Times New Roman Cyr” N. 69.

6. Vakarchuk I. O., Tkachuk V. M., Kuliy T. V. Structure Disorder and
Spin Waves in Amorphous Ferromagnets // International Workshop on
Crystal symbol 150 \f “Times New Roman Cyr” Field Effects in Transition
symbol 150 \f “Times New Roman Cyr” Metal Systems CEF symbol 150 \f
“Times New Roman Cyr” 95, 13 symbol 150 \f “Times New Roman Cyr” 15
October 1995, Krak symbol 243 \f “Times New Roman CE” w. symbol 151 \f
“Times New Roman CE” Krak symbol 243 \f “Times New Roman CE” w
(Poland). symbol 151 \f “Times New Roman CE” 1995. symbol 151 \f
“Times New Roman CE” P. 27.

7. Tkachuk V. M., Kuliy T. V. Spin symbol 150 \f “Times New Roman CE”
Wave Stiffness Constant in Amorphous Ferromagnets // International
Workshop on Crystal symbol 150 \f “Times New Roman CE” Field Effects in
Transition symbol 150 \f “Times New Roman CE” Metal Systems CEF symbol
150 \f “Times New Roman CE” 95, 13 symbol 150 \f “Times New Roman CE”
15 October 1995, Krak symbol 243 \f “Times New Roman CE” w. symbol 151
\f “Times New Roman CE” Krak symbol 243 \f “Times New Roman CE” w
(Poland). symbol 151 \f “Times New Roman CE” 1995. symbol 151 \f
“Times New Roman CE” P. 38.

8. Vakarchuk I. O., Tkachuk V. M., Kuliy T. V. The Influence of
Structure Disorder on Mean Atomic Moment Fluctuations and a Spin symbol
150 \f “Times New Roman CE” Wave Spectrum // ICM’94 Programme and
Abstracts. symbol 151 \f “Times New Roman CE” Warszawa (Poland).
symbol 151 \f “Times New Roman CE” 1994. symbol 151 \f “Times New
Roman CE” P. 211.

9. Vakarchuk I. O., Tkachuk V. M., Kuliy T. V. The Influence of Mean
Atomic Moments Structural Fluctuations on the Spectrum and Damping of
Spin Waves in Amorphous Ferromagnets // Ukrainian symbol 150 \f “Times
New Roman Cyr” French Symp. “Cond. Matt.: Science \& Industry, Lviv,
February, 20 symbol 150 \f “Times New Roman Cyr” 27, 1993″. symbol 151
\f “Times New Roman CE” Lviv. symbol 151 \f “Times New Roman CE”
1993. symbol 151 \f “Times New Roman CE” P. 219.

Eoe?e O. A. Ni?iia? oetheooaoe?? a iaaii?yaeeiaaieo oa?iiaaiaoeeao.
symbol 151 \f “Times New Roman CE” ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa o?ceei symbol
150 \f “Times New Roman Cyr” iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth
01.04.02 symbol 151 \f “Times New Roman CE” oai?aoe/ia o?ceea,
Euea?anueeee aea?aeaaiee oi?aa?neoao ?iai? ?aaia O?aiea, Euea?a, 1999.

Aeine?aeaeaii aieea ni?iiaeo oetheooaoe?e ia niaeo? iaaiiiieo
caoaeaeaiue oa iaai?oi? aeanoeaino? ?icaaaeaiiai oa aii?oiiai
oa?iiaaiaoee?a, ui iienothoueny ?cio?iiiith iiaeaeeth Aaecaiaa??a.
Aeei?enoaii iaoiae eiio??o?aoe?eii ona?aaeiaieo aeai/aniaeo
oaiia?aoo?ieo ooieoe?e Y??ia. Io?eiai? ??aiyiiy aeey niaeo?o ? caaanaiiy
iaaiii?a c a?aooaaiiyi ni?iiaeo oetheooaoe?e. A iaaeeaeaii? Oyae?eiaa
io?eiai? ??aiyiiy aeey iaiaai?/aiino? oa ni?iiaeo oetheooaoe?e
?icaaaeaiiai oa?iiaaiaoeea. Iieacaii, ui ni?iia? oetheooaoe?? ?
eaaae?aoe/ieie ca eiioeaio?aoe??th iaiaai?oieo aeii?oie. Aeey aii?oiiai
oa?iiaaiaoeea a iaaeeaeaii? na?aaeiueiai iiey io?eiaiee ca’ycie i?ae
ni?iiaeie oetheooaoe?yie ? oetheooaoe?yie no?oeoo?e. Io?eiaia o
iaaeeaeaii? Oyae?eiaa ??aiyiiy aeey ni?iiaeo oetheooaoe?e a aii?oiiio
oa?iiaaiaoeeo ? i?iaiae?ciaaiee eiai ?ica’ycie o iaaeeaeaii?
iaei?ino?oiai ?ic/aieaiiy eiio??o?aoe?eieo na?aaei?o.

Eeth/ia? neiaa: ni?iia? oetheooaoe??, iiaeaeue Aaecaiaa??a, ?icaaaeaiee
oa?iiaaiaoee, aii?oiee oa?iiaaiaoee.

Eoe?e O. A. Nieiiaua oeoeooaoeee a iaoii?yaei/aiiuo oa??iiaaiaoeeao. —
?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei–iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.04.02 — oai?aoe/aneay
oeceea, Eueaianeee ainoaea?noaaiiue oieaa?neoao eiaie Eaaia O?aiei,
Eueaia, 1999.

Enneaaeiaaii aeeyiea nieiiauo oeoeooaoeee ia niaeo? iaaiiiiuo
aicaoaeaeaiee e iaaieoiua naienoaa ?acaaaeaiiai e aii?oiiai
oa??iiaaiaoeeia, iienuaaaiuo ecio?iiiie iiaeaeueth Aaecaiaa?aa.
Eniieueciaai iaoiae eiioeao?aoeeiiii on?aaeiaiiuo aeaooa?aiaiiuo
oaiia?aoo?iuo ooieoeee A?eia. Iieo/aiu o?aaiaiey aeey niaeo?a e
caoooaiey iaaiiiia n o/aoii nieiiauo oeoeooaoeee. A i?eaeeaeaiee
Oyaeeeiaa iieo/aiu o?aaiaiey aeey iaiaaie/aiiinoe e nieiiauo oeoeooaoeee
?acaaaeaiiiai oa??iiaaiaoeea. Iieacaii, /oi nieiiaua oeoeooaoeee
yaeythony eaaae?aoe/aneeie ii eiioeaio?aoeee iaiaaieoiuo i?eianae. Aeey
aii?oiiai oa??iiaaiaoeea a i?eaeeaeaiee n?aaeiaai iiey iieo/aia naycue
iaaeaeo nieiiauie oeoeooaoeeyie e oeoeooaoeeyie no?oeoo?u. Iieo/aii a
i?eaeeaeaiee Oyaeeeiaa o?aaiaiea aeey nieiiauo oeoeooaoeee a aii?oiii
oa??iiaaiaoeea e i?iaiaeece?iaaii aai ?aoaiea a i?eaeeaeaiee i?inoaeoiai
?anoeaieaiey eiioeao?aoeeiiiuo n?aaeieo.

Eeth/aaua neiaa: nieiiaua oeoeooaoeee, iiaeaeue Aaecaiaa?aa,
?acaaaeaiiue oa??iiaaiaoee, aii?oiue oa??iiaaiaoee.

Kuliy T. V. Spin fluctuations in disordered ferromagnets. symbol 151
\f “Times New Roman Cyr” Manuscript.

Thesis on search of the scientific degree of candidate of physical and
mathematical sciences, specialty 01.04.02 symbol 151 \f “Times New
Roman Cyr” theoretical physics, the Ivan Franko State University of
Lviv, Lviv, 1999.

The theory of disordered magnetic systems is being developed during
almost a half-century. Nevertheless there remain a lot of unsolved
problems. One of them is a description of the influence of spin
fluctuations on the properties of disordered magnetic system. While an
influence of structure fluctuations on the thermodynamic properties and
spin–wave spectrum has been widely studied most of authors neglected
spin fluctuations caused by the structural disorder. In 1983 Kaneyoshi
showed that taking into account the spin fluctuations is necessary in
order to explain the anomalous behaviour of spin-wave stiffness constant
in amorphous ferromagnets.

The aim of the thesis was to calculate spin fluctuations for different
disordered ferromagnetic systems and to analyse their influence on the
magnetic properties and the spin–wave spectrum. We choose the method of
configurationally averaged Green’s function developed by Kaneyoshi to
study the dilute and amorphous ferromagnetic systems. It was used
successfully by several authors to describe different properties of the
disordered magnets. At the same time one of the most used approximations
within the frames of this method is neglecting of spin fluctuations
caused by disorder. Note that at the zero temperature the magnetisation
of a ferromagnet tends to saturation and the spin fluctuations are
suppressed.

The first system we have considered was a dilute Heisenberg
ferromagnet. Within the Tyablikov approximation the set of equations
describing the magnetization and the mean quadratic spin fluctuations
caused by the disorder was derived for this system. It was shown that
this set is self–consistent at low concentration of nonmagnetic
impurities and also within the approximation of the simplest decoupling
suggested by Kaneyoshi.

The analyses of the obtained set of equations for magnetization within
the approximation of the simplest decoupling suggested by Kaneyoshi
brought us to the conclusion that, although this approximation provides
a good qualitative description of the spectrum and magnetization for the
dilute ferromagnet, it leads to the nonphysical result for the spin
fluctuations. The last became negative at the low concentration of
nonmagnetic impurities. We have constructed formal series for the
Green’s functions present in the equations for the magnetization and the
spin fluctuations. To obtain correct behavior of spin fluctuations one
needs to sum up these series within the better approximation.

behaviour at the low temperatures. This allowed us to describe the
low–temperature behaviour of spin–wave spectrum and damping for dilute
ferromagnet at low concentration of nonmagnetic impurities. We have also
obtained explicitely the equation for magnetization in linear with
respect to the concentration of impurities approximation. Using this
equation we have analysed, in particular, the low–temperature behaviour
of the magnetisation for dilute ferromagnet. At zero temperature our
results coinsides with that obtained previously by the various authors.

for the one-dimensional case and provide a reasonable agreement with
numerically obtained values for two– and three–dimensional cases. The
expression for the percolation threshould obtained in the simplest
decoupling approximation gives wrong result for the one–dimensional case
but provide a good agreement with numerically obtained values for the
two–dimensional case. In the three–dimensional case the last expession
provide the closest theoretical value of the percolation threshould to
the numerical one.

We also have applied the configurationally averaged Green’s function
method to the amorphous ferromagnetic systems. This approach was earlier
developed by T. Kaneyoshi, I. O. Vakarchuk, Yu. K. Rudavskyi,
G. V. Ponedilok, V. M. Tkachuk, and I. F. Margolych. We have calculated
the first spin fluctuations within the mean-field approximation. It
allowed us to obtain explicitely the spin–wave stiffness constant and
the spin–wave damping and to describe quantitatively an anomalous
behaviour of spin-wave spectrum in amorphous ferromagnet.

Using the equation for the magnetization of amorphous ferromagnet we
have calculated low–temperature behaviour of the magnetization of
amorphous ferromagnet taking into account spin fluctuations as well as
structure fluctuations.

We also suggested the equation for spin fluctuations in amorphous
ferromagnet within the Tyablikov approximation. It is shown that the
approximation of the simplest decoupling suggested by Kaneyoshi leads to
unphysical solutions of this equation. To obtain correct behaviour of
the spin fluctuations one needs to collect all the series over the
fluctuations of density present in the exact expression for
corresponding Green’s function.

Key words: spin fluctuations, Heisenberg model, dilute ferromagnet,
amorphous ferromagnet.

I?aei. aei ae?oeo 15.02.99. Oi?iao 60*84/16. Iai?? ae?oe. ?3

Ae?oe ionao. Oiiai. ae?oe. a?e. 1,0 Iae.–aeae. a?e. 1,2.

Oiiai.–oa?a. a?aea. 1,0 Oe?aae 100. Cai. 116.

Aeaeaaie/ee oeaio? Euea?anueeiai aea?aeaaiiai oi?aa?neoaoo ?iai? ?aaia
O?aiea\\ 290602 Euea?a, aoe. Oi?aa?neoaonueea, 1.

page 18

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