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30 TaK KaK ypaBlIoHlHI (14 ) - ( 16 ) (lwm nOJJ1eHtl B llperrUOJIome shyHRH 0 npellc6peltUlMov M8JIOCTll

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T ~-- ) C- If ~ ( JI (28)

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ypaBHeHRR (17 ) CJIen~ 06pa30M

0603H8iIDII 1r 7 - -tTl = L1 bull BBlUY MaJIOCTR BeJIRllRlill L1 no CpaBHe-

HRXJ c T H COrJIaCHO onpenMemm (23) RMeeM

T - tn (-( f I ) T-I c (32)177 I n T

C npyroH CTOPOHH ypaBHeHRe (17) rraeT

TNe 1- _ (I f) - ern lT - - f h (33)

J 71

llO)lCTaBRY Tenepy (32) B (33) C yieTOM MMOCTH ~ UOJIYlllM

~ fshy(t _ L Lj (34 )~ - - (h -shy ) ~fshy

A (N

rne ~TeJIIHOCTb HMDYJIIca ~ A-OIlJlCIlBaeTCfl qoIHYJIol (26) OTCIlna

DeeM gtl )~f- oc-- gtf

f h-gt = Igt - C IV 0 [1(- th -K (35 )r

J-~ pe3Y~TaT lIlIH m

j -----L Jf _J

HI TI In -1_ II

L shyI ( r-t TT- Trn

aT~ TNI

6

5

4 ]

oL--~-----------shy

12 16 20 24 28 Tt m

~tm (

1 16

14

12

10 1213 16 20 24 28

Ttm

PRC 3 SaBHCRMOCTH IlJIlTeJThHOCTR lOOIYJIIca Z- (a)R WeMeshyHR 3auepxKH f (6) OT HeshyO)UIoponaoro BpeueHll U 3HR r BlARcJIeHRR BWlOJIHeshy

lW no qoINY~8M ( 2 6)R (36) lIlIH CJIyiM t-rn = 10 0v bull

~t- ) (r1 ~- ~ J (36)

- 0 17 ( v

~ - of SaBRCRMOCTI t H I IV OT Heonshy

aopoIllloro BpeMeHR lU3HR HanyqBTeshy

JIeM T OIllICaHHM qopfyJIBMI

(26) H (36) nOKa3aHa H8 pHC 3

lIlIH CJIYUlR 1 = 10 (V bull H3 PHshycyaxa BRnBO iTO B OTJIRqRe OT MOshy

HOTOHHO y6HBa~ro rrOBeneHllfl

~ 7 (- JcentyHKllHR i (T) rn shyo6JranaeT MaKCRMyMOM B TOiKe Iz=

13 IloBeneHRe B o6JIacTRT Tt lt 13 03HaiaeT iTO CJImllKOM

tn 6o~woe ~flHRe HOOnaOponHOra

yumpeHldSl JIHHKH ITpilllOnHT He K yBeshy

JIHieHRD a K yMeHbmeHHD BpeMeHH

3aueJllKKR IDIIUyJIIca A aTO C nepshy

Bora B3r~a ORa3HBaeTCfl HeoxHshy

nBHHHM DHO cymeCTBeHHO OTJIHqaeTshy

CS OT nOJIYieHHoro BHIlle pe3YJIITashy

Ta lIlIH CJIYlM T gt ern CM bull qopshy

MYJIY (3I) H OT pe3YJIbTaTOB npyshy

lRX aBTOPOB2-4i llpHOOla TaKOlt

OC06eHHOCTH rrOBeneHKR 3aBRCRMOCshy

TH f rH r OT T 3aKJITOiaeTCfl B CJIeshy

nyDIIleM

~3BeCTHO iTO B npouecce H3shy

JIYleBIDl l1MelOT MeCTO ItBa npoTKBOshy

UO~OlKma KOHKypHpyDIIRX ifaKTOpa

~3RpoBKa ~o~el aTOMOB 6JIaIOshy

napS B3aHMoneHCTBRIl iepe3 no~e R

neqaaHpOBKa HX Bc~enCTBHe pa3JIRshy

~ co6CTBeHHHX iaCTOT ITpH Heo~shy

HOPO)(HOM ynmpemm JIHHB1l Ko rna

T gtgtc rJIaBHYIgt POJII RIpaeTn 7

tpaKTOP qa3RpOBKR 06YCJIOBIDlllIHi

11 l)

cBepXRanyqaTe~Hoe IIOshy

lIt)1 Io Be~8HHe HMny~ca ~aKshy

TOp ~8~3KpOBKH ~IIOshy

~e~ CBff3aHHHH C H90~shy12 HOPOlOWM ynmp9HHeM Jmshy

10 mm ITpHBOmrT K 38Me~shy

neHKID YCTaHOan9HHR 8 MaKCHMEUnBOB BEllllfUnibI

6 CYMMapHoro ~O~HOro

MOMeHTa aTOMOB ~e~oshy

BaTemHO K YB8JmI9mm

Bp9M9HH 3anepxKH HMshyJ itshy

rry~ca I rH bull A Ror~a

T IIpH6mmaeTcR K tr~ 2 L 6 8 10 c~ecTBeHHyD po~ Hashy

~aeT HrpaTh npyroa ( 10-2) t To centaRTop - ne~3HPOBKa

~IIo~ea aTOMOB TaR

PlIe 4 RaK TaKru neltIa3lfPOBKa 3aBHCIlMOCTI OT BpeMeHH t HBTeHClmshyHOCTH HanyqeHBR (22) ITpH C~HOM BnHshy BHSHBaeT 3aTyxBHH9 CYMshymum H80ltHOpoIHoro ymap8HHR 1IlllIlm MapHoro ~O~Horo MOshy( T - T) BWlHCJIeHHR BIffiOIIHeHH C IIapBM8Tp8MH-C)- = 300 7~= 0 0189 t M8HTa H C~e~OBaTe~shyTmiddot c 0 0033 to middot f = deg0169 7 ( I)

HO CTpeMHTCR YMeHIshyO0156 Lv (11J6 OQI23 t (W) O O~O i (IY) 00 23 L (Y) L

() = N M ( WHTh HHTeHcKBHOCTh H3shy

)

~eHHH no 3KcnoH9~shyaJiIHOMy 3aKOHY TO BpeMR nOCTIDK6HHH mnta ~HallHHaeT YMsmUJaTnCJJ

TIp aTOM YMeHhwaeTCR MaKCRMantHaR HBTeaCKBHOCT~H KOr~a ~~ tlgt

HMYl8HHe nepeCTaeT 61gtlTb CBepXH3JIYIaT8JI1IDlM ( CM pHC 4) OTClllla ~erKO rrOHRTh nOBe~eHHe ifiyHKIUH 1 -N (T) ITOllta3aHHOe Ha pRC 36

PaCCMOTpHM TeIIepI YCJIOBHe ITpHM9HHMOC TH oueHXH ( 36) HeTpYlUo BHshy~eTh qTO OueHKa ( 27) c~8nyeT H3 (36) ITPH yC~OBKH (29 ) TaR ITO 3TO

YCJIOBH9 eCTh H KpHTepKH llpRMeHHMOCTH (36 ) KaK rrpH6~eHHR BHcwero ITOshy

PRJ(Ka Ho C ~yroH CTOPOHH IIOCKO~KY B peaJiIlliX CHCTSMax A-~gt I TO

~1 Al raquo 1 n 03TOMy ~ raquo 1 BCJI9ItC TBe 3TOro OueHllta (36 ) xopomo

OllltCHBaeT 3HaqSIU9 BpeM9HH 3aneparot CBepXll 3JIyUlreJrhHoro HMJIy~ca ( 22) IIJlH 60JIS9 CJIaOOM YCJIOBIDI 18M YCJlOB1I9 (29)

Tgt t r77 + r2 ( (37)

lJHCJI9BH09 HCCJIe~OB8lHe qopyJru (22 ) o lllJCblB8lOIllel qoplY mmy~ca H

OoSHKH (36) n OItTBsJlllllaeT C~8JIB1ilWiI BHBO~ (eM T3OJUlllY) PaCIeT 110shy

Ka3HBa9 qro B CJIy1laeAl~ = 300 CJIeItOBaT8JIIHOrn -- OOI89

III

7t T a 6 ~ H ua CpaBHeHHe 3HallelIIlli BpeMeHH 3aneplKKH RMIlY1Ihca rrnj

IIOJIYlelllUlX lHCneHHHM HC~e~OB8HReM qoPMYJIll (22)

C OU9HKOtt ( 36) H TaKlKe C on9HKoi1 (27) l3ollllilrumoshy

JIYJlUlaTo BJl1lliICJIeHIDI BHIIOIIHeFlli MR CJIYlM II z 300 tn = 00189 co ~ = 00033 ~

---------------================ - - ---~- (x 1( ~) Pe3Y~TaT

GueRRa (36) OneHKa (27)~ rnCJIeHHoroT t (gtlt i l old RCCJIenOB8HRR E-ll

46 2 3 2 3 245

42 2 34 2 34 251

39 24 2 38 260

3 6 2 45 2 42 271

32 25 2 45 286

2 9 2 58 2 41 3 08

26 2 63 2 04 345

16 2 40 HeIIpHJlleImMa HeIIpIDlleHmm -------- ========

7 t = 00033 ooell1B (-no qopfyJIe (36) ~OBOJIbHO XopoWO cor~acyshy8TCR C TO~ pe 3YJIbTaTOM HCCJIe~OB8HRR qopMy~ (22) MR Bcex 8Haqeshy

HIlA r ynOBJIeTOOpJlIiIlRX YCJIOBHll (37)(T e Tgt 0026) tmcrreHlIlDll HCshy

I h 51 CJlenOBaIDleNl MOlilliO TaKii(e UOKa3aTh ITO

B CJIYllae HeOUHOpOlJflOrO BpeM8Hl1 JKl13Hl1 13 shy1 JIYID T8JIe~i T IIopilllKa t T~ t m i1

410 7d(T-Tm)~ 1cpopMYJIa (22 ) ]d B0001l16

rOBopR p ellleHHe YPaBH9IDlH (I ) OIrncrmashy

lOT BCe-laKH Hem U- r op6aTIcM HMTIYJIhC 7 C YMeHhmeHHOH aMJ1JlliTy~o~i H YMeHbllleHHH310 I BpeM6H ffi~ nOCT~eIDlH ~a ( cMpac 4 5)

Ha pRc 5 nOKa3aHO rrOB9~9Hl19 HMDY~ca

TIOJIY1leHH0 e llpn den9HH OM PemeHliIK11 J 10 I

1middot~1I PHc 5 3aBHCHMOCTb OT BpeY9HH

t IDIT9HCKBHOCTH HSJIYshy 1eHIIR IIOJIYleHHM IIpa

IlICJI9HBOM psmeHIDl YPaBshya8H1IJl 0) MJf napaMsljlOB N =2 100 L =O69 middot m - 5

- ]IL Ln 167 H~ - T = Tn-gt - K t N X

110l f LL t reI) K = 2(IT) A =4shy

0 1 3 t (HC )1 CUI) k = 60Y)

I

ecnR Burro~eTcR yc~oBHe ~CnO~30BaHHe STO~ qopMy~ BMeCTe C (24) H (26) rraeT OKOffqaTanDHHa

T ~-- ) C- If ~ ( JI (28)

KOTopoe cor~aCHO (26) SKBRBMeHTHO CJIenyJOlDeMY shy~~ ltlt i (29)

~ -t-I - C

llPH STOM MaKCHManbHaH HHTeHCRBHOCTb HanyqeRHfl RMeeT B~

If ~ J 1-shy

I 11 ( I I - ) - T - -- shyO A L L IV lt ~-rn _ - _ 177 (30)

rna

CpaBHeHRe qoJlMY~ ( 26) (27) (30) C qoNYJI8M1I (II) naeT

- -f - -~

J gt (4 gt- 1 c (31)111 ( 77 middot) n il rlt - r h ) (

3TO 03HaQaeT iTO HeOnHOponHOe ymRpeHRe JllfHIDI ITpIffiOnHT K yB9JIKlemoo

IlJIlTe~HOCTH CBepXH3JIYlaTeJThHoro HMIIYJIICa Ltv BpeMeHR 3anep(KH

T k 11 yMeHbmeHID) MaKCBMyMa HHTeHCHBaOCTR HanyqeHRR j - ~ B qaCTshy

a~~ CJIyiae KOrna Traquo i IDIIeeM rrpoCTO tf- - 7 ~ T _ ~ _ 17 V AI 1 )1

I lTD l1 gtltlUlaeTCR DoJIee TOiHM OueHKa lIlIH BpeMeHR 38shy- U ~ hvlt nepxKR MOlleT 6HTb uOJIYieaa Ha OCHOBe upn6JIR1teHHoro pemeHRfl

ypaBHeHRR (17 ) CJIen~ 06pa30M

0603H8iIDII 1r 7 - -tTl = L1 bull BBlUY MaJIOCTR BeJIRllRlill L1 no CpaBHe-

HRXJ c T H COrJIaCHO onpenMemm (23) RMeeM

T - tn (-( f I ) T-I c (32)177 I n T

C npyroH CTOPOHH ypaBHeHRe (17) rraeT

TNe 1- _ (I f) - ern lT - - f h (33)

J 71

llO)lCTaBRY Tenepy (32) B (33) C yieTOM MMOCTH ~ UOJIYlllM

~ fshy(t _ L Lj (34 )~ - - (h -shy ) ~fshy

A (N

rne ~TeJIIHOCTb HMDYJIIca ~ A-OIlJlCIlBaeTCfl qoIHYJIol (26) OTCIlna

DeeM gtl )~f- oc-- gtf

f h-gt = Igt - C IV 0 [1(- th -K (35 )r

J-~ pe3Y~TaT lIlIH m

j -----L Jf _J

HI TI In -1_ II

L shyI ( r-t TT- Trn

aT~ TNI

6

5

4 ]

oL--~-----------shy

12 16 20 24 28 Tt m

~tm (

1 16

14

12

10 1213 16 20 24 28

Ttm

PRC 3 SaBHCRMOCTH IlJIlTeJThHOCTR lOOIYJIIca Z- (a)R WeMeshyHR 3auepxKH f (6) OT HeshyO)UIoponaoro BpeueHll U 3HR r BlARcJIeHRR BWlOJIHeshy

lW no qoINY~8M ( 2 6)R (36) lIlIH CJIyiM t-rn = 10 0v bull

~t- ) (r1 ~- ~ J (36)

- 0 17 ( v

~ - of SaBRCRMOCTI t H I IV OT Heonshy

aopoIllloro BpeMeHR lU3HR HanyqBTeshy

JIeM T OIllICaHHM qopfyJIBMI

(26) H (36) nOKa3aHa H8 pHC 3

lIlIH CJIYUlR 1 = 10 (V bull H3 PHshycyaxa BRnBO iTO B OTJIRqRe OT MOshy

HOTOHHO y6HBa~ro rrOBeneHllfl

~ 7 (- JcentyHKllHR i (T) rn shyo6JranaeT MaKCRMyMOM B TOiKe Iz=

13 IloBeneHRe B o6JIacTRT Tt lt 13 03HaiaeT iTO CJImllKOM

tn 6o~woe ~flHRe HOOnaOponHOra

yumpeHldSl JIHHKH ITpilllOnHT He K yBeshy

JIHieHRD a K yMeHbmeHHD BpeMeHH

3aueJllKKR IDIIUyJIIca A aTO C nepshy

Bora B3r~a ORa3HBaeTCfl HeoxHshy

nBHHHM DHO cymeCTBeHHO OTJIHqaeTshy

CS OT nOJIYieHHoro BHIlle pe3YJIITashy

Ta lIlIH CJIYlM T gt ern CM bull qopshy

MYJIY (3I) H OT pe3YJIbTaTOB npyshy

lRX aBTOPOB2-4i llpHOOla TaKOlt

OC06eHHOCTH rrOBeneHKR 3aBRCRMOCshy

TH f rH r OT T 3aKJITOiaeTCfl B CJIeshy

nyDIIleM

~3BeCTHO iTO B npouecce H3shy

JIYleBIDl l1MelOT MeCTO ItBa npoTKBOshy

UO~OlKma KOHKypHpyDIIRX ifaKTOpa

~3RpoBKa ~o~el aTOMOB 6JIaIOshy

napS B3aHMoneHCTBRIl iepe3 no~e R

neqaaHpOBKa HX Bc~enCTBHe pa3JIRshy

~ co6CTBeHHHX iaCTOT ITpH Heo~shy

HOPO)(HOM ynmpemm JIHHB1l Ko rna

T gtgtc rJIaBHYIgt POJII RIpaeTn 7

tpaKTOP qa3RpOBKR 06YCJIOBIDlllIHi

11 l)

cBepXRanyqaTe~Hoe IIOshy

lIt)1 Io Be~8HHe HMny~ca ~aKshy

TOp ~8~3KpOBKH ~IIOshy

~e~ CBff3aHHHH C H90~shy12 HOPOlOWM ynmp9HHeM Jmshy

10 mm ITpHBOmrT K 38Me~shy

neHKID YCTaHOan9HHR 8 MaKCHMEUnBOB BEllllfUnibI

6 CYMMapHoro ~O~HOro

MOMeHTa aTOMOB ~e~oshy

BaTemHO K YB8JmI9mm

Bp9M9HH 3anepxKH HMshyJ itshy

rry~ca I rH bull A Ror~a

T IIpH6mmaeTcR K tr~ 2 L 6 8 10 c~ecTBeHHyD po~ Hashy

~aeT HrpaTh npyroa ( 10-2) t To centaRTop - ne~3HPOBKa

~IIo~ea aTOMOB TaR

PlIe 4 RaK TaKru neltIa3lfPOBKa 3aBHCIlMOCTI OT BpeMeHH t HBTeHClmshyHOCTH HanyqeHBR (22) ITpH C~HOM BnHshy BHSHBaeT 3aTyxBHH9 CYMshymum H80ltHOpoIHoro ymap8HHR 1IlllIlm MapHoro ~O~Horo MOshy( T - T) BWlHCJIeHHR BIffiOIIHeHH C IIapBM8Tp8MH-C)- = 300 7~= 0 0189 t M8HTa H C~e~OBaTe~shyTmiddot c 0 0033 to middot f = deg0169 7 ( I)

HO CTpeMHTCR YMeHIshyO0156 Lv (11J6 OQI23 t (W) O O~O i (IY) 00 23 L (Y) L

() = N M ( WHTh HHTeHcKBHOCTh H3shy

)

~eHHH no 3KcnoH9~shyaJiIHOMy 3aKOHY TO BpeMR nOCTIDK6HHH mnta ~HallHHaeT YMsmUJaTnCJJ

TIp aTOM YMeHhwaeTCR MaKCRMantHaR HBTeaCKBHOCT~H KOr~a ~~ tlgt

HMYl8HHe nepeCTaeT 61gtlTb CBepXH3JIYIaT8JI1IDlM ( CM pHC 4) OTClllla ~erKO rrOHRTh nOBe~eHHe ifiyHKIUH 1 -N (T) ITOllta3aHHOe Ha pRC 36

PaCCMOTpHM TeIIepI YCJIOBHe ITpHM9HHMOC TH oueHXH ( 36) HeTpYlUo BHshy~eTh qTO OueHKa ( 27) c~8nyeT H3 (36) ITPH yC~OBKH (29 ) TaR ITO 3TO

YCJIOBH9 eCTh H KpHTepKH llpRMeHHMOCTH (36 ) KaK rrpH6~eHHR BHcwero ITOshy

PRJ(Ka Ho C ~yroH CTOPOHH IIOCKO~KY B peaJiIlliX CHCTSMax A-~gt I TO

~1 Al raquo 1 n 03TOMy ~ raquo 1 BCJI9ItC TBe 3TOro OueHllta (36 ) xopomo

OllltCHBaeT 3HaqSIU9 BpeM9HH 3aneparot CBepXll 3JIyUlreJrhHoro HMJIy~ca ( 22) IIJlH 60JIS9 CJIaOOM YCJIOBIDI 18M YCJlOB1I9 (29)

Tgt t r77 + r2 ( (37)

lJHCJI9BH09 HCCJIe~OB8lHe qopyJru (22 ) o lllJCblB8lOIllel qoplY mmy~ca H

OoSHKH (36) n OItTBsJlllllaeT C~8JIB1ilWiI BHBO~ (eM T3OJUlllY) PaCIeT 110shy

Ka3HBa9 qro B CJIy1laeAl~ = 300 CJIeItOBaT8JIIHOrn -- OOI89

III

7t T a 6 ~ H ua CpaBHeHHe 3HallelIIlli BpeMeHH 3aneplKKH RMIlY1Ihca rrnj

IIOJIYlelllUlX lHCneHHHM HC~e~OB8HReM qoPMYJIll (22)

C OU9HKOtt ( 36) H TaKlKe C on9HKoi1 (27) l3ollllilrumoshy

JIYJlUlaTo BJl1lliICJIeHIDI BHIIOIIHeFlli MR CJIYlM II z 300 tn = 00189 co ~ = 00033 ~

---------------================ - - ---~- (x 1( ~) Pe3Y~TaT

GueRRa (36) OneHKa (27)~ rnCJIeHHoroT t (gtlt i l old RCCJIenOB8HRR E-ll

46 2 3 2 3 245

42 2 34 2 34 251

39 24 2 38 260

3 6 2 45 2 42 271

32 25 2 45 286

2 9 2 58 2 41 3 08

26 2 63 2 04 345

16 2 40 HeIIpHJlleImMa HeIIpIDlleHmm -------- ========

7 t = 00033 ooell1B (-no qopfyJIe (36) ~OBOJIbHO XopoWO cor~acyshy8TCR C TO~ pe 3YJIbTaTOM HCCJIe~OB8HRR qopMy~ (22) MR Bcex 8Haqeshy

HIlA r ynOBJIeTOOpJlIiIlRX YCJIOBHll (37)(T e Tgt 0026) tmcrreHlIlDll HCshy

I h 51 CJlenOBaIDleNl MOlilliO TaKii(e UOKa3aTh ITO

B CJIYllae HeOUHOpOlJflOrO BpeM8Hl1 JKl13Hl1 13 shy1 JIYID T8JIe~i T IIopilllKa t T~ t m i1

410 7d(T-Tm)~ 1cpopMYJIa (22 ) ]d B0001l16

rOBopR p ellleHHe YPaBH9IDlH (I ) OIrncrmashy

lOT BCe-laKH Hem U- r op6aTIcM HMTIYJIhC 7 C YMeHhmeHHOH aMJ1JlliTy~o~i H YMeHbllleHHH310 I BpeM6H ffi~ nOCT~eIDlH ~a ( cMpac 4 5)

Ha pRc 5 nOKa3aHO rrOB9~9Hl19 HMDY~ca

TIOJIY1leHH0 e llpn den9HH OM PemeHliIK11 J 10 I

1middot~1I PHc 5 3aBHCHMOCTb OT BpeY9HH

t IDIT9HCKBHOCTH HSJIYshy 1eHIIR IIOJIYleHHM IIpa

IlICJI9HBOM psmeHIDl YPaBshya8H1IJl 0) MJf napaMsljlOB N =2 100 L =O69 middot m - 5

- ]IL Ln 167 H~ - T = Tn-gt - K t N X

110l f LL t reI) K = 2(IT) A =4shy

0 1 3 t (HC )1 CUI) k = 60Y)

I

cBepXRanyqaTe~Hoe IIOshy

lIt)1 Io Be~8HHe HMny~ca ~aKshy

TOp ~8~3KpOBKH ~IIOshy

~e~ CBff3aHHHH C H90~shy12 HOPOlOWM ynmp9HHeM Jmshy

10 mm ITpHBOmrT K 38Me~shy

neHKID YCTaHOan9HHR 8 MaKCHMEUnBOB BEllllfUnibI

6 CYMMapHoro ~O~HOro

MOMeHTa aTOMOB ~e~oshy

BaTemHO K YB8JmI9mm

Bp9M9HH 3anepxKH HMshyJ itshy

rry~ca I rH bull A Ror~a

T IIpH6mmaeTcR K tr~ 2 L 6 8 10 c~ecTBeHHyD po~ Hashy

~aeT HrpaTh npyroa ( 10-2) t To centaRTop - ne~3HPOBKa

~IIo~ea aTOMOB TaR

PlIe 4 RaK TaKru neltIa3lfPOBKa 3aBHCIlMOCTI OT BpeMeHH t HBTeHClmshyHOCTH HanyqeHBR (22) ITpH C~HOM BnHshy BHSHBaeT 3aTyxBHH9 CYMshymum H80ltHOpoIHoro ymap8HHR 1IlllIlm MapHoro ~O~Horo MOshy( T - T) BWlHCJIeHHR BIffiOIIHeHH C IIapBM8Tp8MH-C)- = 300 7~= 0 0189 t M8HTa H C~e~OBaTe~shyTmiddot c 0 0033 to middot f = deg0169 7 ( I)

HO CTpeMHTCR YMeHIshyO0156 Lv (11J6 OQI23 t (W) O O~O i (IY) 00 23 L (Y) L

() = N M ( WHTh HHTeHcKBHOCTh H3shy

)

~eHHH no 3KcnoH9~shyaJiIHOMy 3aKOHY TO BpeMR nOCTIDK6HHH mnta ~HallHHaeT YMsmUJaTnCJJ

TIp aTOM YMeHhwaeTCR MaKCRMantHaR HBTeaCKBHOCT~H KOr~a ~~ tlgt

HMYl8HHe nepeCTaeT 61gtlTb CBepXH3JIYIaT8JI1IDlM ( CM pHC 4) OTClllla ~erKO rrOHRTh nOBe~eHHe ifiyHKIUH 1 -N (T) ITOllta3aHHOe Ha pRC 36

PaCCMOTpHM TeIIepI YCJIOBHe ITpHM9HHMOC TH oueHXH ( 36) HeTpYlUo BHshy~eTh qTO OueHKa ( 27) c~8nyeT H3 (36) ITPH yC~OBKH (29 ) TaR ITO 3TO

YCJIOBH9 eCTh H KpHTepKH llpRMeHHMOCTH (36 ) KaK rrpH6~eHHR BHcwero ITOshy

PRJ(Ka Ho C ~yroH CTOPOHH IIOCKO~KY B peaJiIlliX CHCTSMax A-~gt I TO

~1 Al raquo 1 n 03TOMy ~ raquo 1 BCJI9ItC TBe 3TOro OueHllta (36 ) xopomo

OllltCHBaeT 3HaqSIU9 BpeM9HH 3aneparot CBepXll 3JIyUlreJrhHoro HMJIy~ca ( 22) IIJlH 60JIS9 CJIaOOM YCJIOBIDI 18M YCJlOB1I9 (29)

Tgt t r77 + r2 ( (37)

lJHCJI9BH09 HCCJIe~OB8lHe qopyJru (22 ) o lllJCblB8lOIllel qoplY mmy~ca H

OoSHKH (36) n OItTBsJlllllaeT C~8JIB1ilWiI BHBO~ (eM T3OJUlllY) PaCIeT 110shy

Ka3HBa9 qro B CJIy1laeAl~ = 300 CJIeItOBaT8JIIHOrn -- OOI89

III

7t T a 6 ~ H ua CpaBHeHHe 3HallelIIlli BpeMeHH 3aneplKKH RMIlY1Ihca rrnj

IIOJIYlelllUlX lHCneHHHM HC~e~OB8HReM qoPMYJIll (22)

C OU9HKOtt ( 36) H TaKlKe C on9HKoi1 (27) l3ollllilrumoshy

JIYJlUlaTo BJl1lliICJIeHIDI BHIIOIIHeFlli MR CJIYlM II z 300 tn = 00189 co ~ = 00033 ~

---------------================ - - ---~- (x 1( ~) Pe3Y~TaT

GueRRa (36) OneHKa (27)~ rnCJIeHHoroT t (gtlt i l old RCCJIenOB8HRR E-ll

46 2 3 2 3 245

42 2 34 2 34 251

39 24 2 38 260

3 6 2 45 2 42 271

32 25 2 45 286

2 9 2 58 2 41 3 08

26 2 63 2 04 345

16 2 40 HeIIpHJlleImMa HeIIpIDlleHmm -------- ========

7 t = 00033 ooell1B (-no qopfyJIe (36) ~OBOJIbHO XopoWO cor~acyshy8TCR C TO~ pe 3YJIbTaTOM HCCJIe~OB8HRR qopMy~ (22) MR Bcex 8Haqeshy

HIlA r ynOBJIeTOOpJlIiIlRX YCJIOBHll (37)(T e Tgt 0026) tmcrreHlIlDll HCshy

I h 51 CJlenOBaIDleNl MOlilliO TaKii(e UOKa3aTh ITO

B CJIYllae HeOUHOpOlJflOrO BpeM8Hl1 JKl13Hl1 13 shy1 JIYID T8JIe~i T IIopilllKa t T~ t m i1

410 7d(T-Tm)~ 1cpopMYJIa (22 ) ]d B0001l16

rOBopR p ellleHHe YPaBH9IDlH (I ) OIrncrmashy

lOT BCe-laKH Hem U- r op6aTIcM HMTIYJIhC 7 C YMeHhmeHHOH aMJ1JlliTy~o~i H YMeHbllleHHH310 I BpeM6H ffi~ nOCT~eIDlH ~a ( cMpac 4 5)

Ha pRc 5 nOKa3aHO rrOB9~9Hl19 HMDY~ca

TIOJIY1leHH0 e llpn den9HH OM PemeHliIK11 J 10 I

1middot~1I PHc 5 3aBHCHMOCTb OT BpeY9HH

t IDIT9HCKBHOCTH HSJIYshy 1eHIIR IIOJIYleHHM IIpa

IlICJI9HBOM psmeHIDl YPaBshya8H1IJl 0) MJf napaMsljlOB N =2 100 L =O69 middot m - 5

- ]IL Ln 167 H~ - T = Tn-gt - K t N X

110l f LL t reI) K = 2(IT) A =4shy

0 1 3 t (HC )1 CUI) k = 60Y)

I

- shyypaBHeIDfl (1 ) ME CJIYlaH -=- 1u)- t= = 0(lt -1(

i 167 HC 1 = 1- If ltA- bull

4 IIOBeleHHe lIH1eaCHBHOCTlI l3JIYl9HIDr IlpH 60JThlJlliX BpeMeHax ( traquo T ) 3aMe~eHHe cBepXH3JIYleHHE H OCTa1O~8H HHBepcan Hace~eHHOC1e

MIl 110npo6HO o6cy JlHll B ITpe1U4llYllleM naparpa4Je BJIrunme HeOllHOpoIlltOshy

ro YJlIKPeHHR JIHHIDI Ha ltIoIMY BpeMH 3aneplUW H llJIHTeJIbHOCTh HMIIYJIbca

upa BpeMeHax ilOPMKa bull PaCCMOTpHM Tenepb KaJ BenyT ce6R IDIBepcHf

ltR~ (I )l R RHTeHCHBHOCTh Ii 3JIYle1mR f (I ) B IltHTepBaJIe 60JIbnmx BpeMeH

i gtgt (3~eCb rrpennOJIaraJIOCb R8] H pamme ITO T Memme BpeMeshy

1m C110HTaHHOro paCTI8JlB I OT~eJIbHoro H3JIYlaTe~ )

06paTHM CHalaJIB BIDIMaPHe Ha ypaBHeHIUI ( 21) ( 22) l1oJIYleHHlle

H3 (I) B lIpeIU10JIOJi eHIDl 0 rrpeo6JI8JlaHIDI CB6Pn3JIYlBT6JIbHOH KOMTIOHeHshy

Ttl H8Jl oOHlHol1 HeKorepeHTHoH Tallt R8] TIpH Z raquo i rrpRB6~eHHOe Bpe-

ME -( ) COrJIaCHO (23) rrpHlmMa6T rrp6n9JThHOe 3HBleHllt6

7 (1 )gt 1 ) = I (38)

TO H3 (21) ( 22) lloJIYla6M

t - f 0 7lt R (t) gt ~ ---7 - ~ 11 - ) Z t gt gt I A- ) f ~

t- ltlt i~ (39 )

shyi (I )jtgt ( t -- (

3TO 03HBlaeT ITO no HCTel8HHB BpeMeHH 3Ha~TeJIDHO npeBHmaIDmero

Heo6xo]tHMoe lIIlR nOJIHoli ~eqa3HpoBKH H3JIYlaT8JI8ii OCTB8TCR 8rne

HeKOTOpaR OCTaTOH8H HHB6pcHR H CBH3aHHaR C He~ HeBarryl8HH8H 3HeprHR

3anBCeHHafi B CHCT9M8 B HalaJThHWt MOMeHT 3To eCTh RBJIeillle 3BMe~eilllR

CBepXR3JIYeHlIR 06YCJIosneHHo8 H60~OpOnHllM ymKp6HH6M nKHRH2 OHO

MOE6T rrpHBO~Tb K TaR HB3HBaeMOMY orpBHHleHHOMY CBepXlI3JIYl6~2 5~ npH KOTOPOM H6 BCR B TOJIbKO He6oJIbmaH laCTb 3HeprKH CHCTeMH BTOMOB

Korep6HTHO H3JIyaeTCR

IIPH BpeM6Hax T ~ 0 raquo T I1IaBHyD POJIb B H3JIY8mm Brpa6 Ite He

KorepeHTHHH a o61lUIllli rrpo1l6CC R8] B~O H 3 CTPYKTYPH ypaBHeHllR

(I) B cwry MaJIOCTlI 3KC lIOH61~Horo llaKTOpa 2 - tr) ( H

CBH3aHHOro C HHM KOJIJIeKTRBHoro lJIeHB aTO ypaBHeHll6 nepeXOnBT B CJIeshy

~ee

~ ZR~ Ii raquo == - i (x v r lt R t raquo1 (40 )(_ 2 )

12

OTC)JJa nOrylaeM peDle1me IJ)lR HHBepCJm ( A~ (I ) gtB 06JIaCTH

~ ~ gtgt jt L-

I I gt( It t (V[- ( (41)lt- r ~ It )gt l - )

r~e llOCTOHHHaH orrpene~eTcR YCJIOBHeM CmRBaEHR C peWe1meM (21) B 06JIaCTH r COOTBeTCTBy1Ornee BIl1l8lKe1me IJ)lR HHTeHCHBHOCTH

H3JIYleHHR - II~(t c (42 )I ( f )- t~

OTIRCHBaeT H3B6CTHli aKC110He~HHil 3aKOH pacrrana

TalltHM 06pa30M B lIHTepBaJIe ~ gtgt I HMeeT MeCTO JIKJIlb

o6wmoe HeKor6peHTHoe Cn OHTaHHOe H3jlYleIDf8 Kor~a_ a T OMll p acIIaJJaJOTcR

He3aBHCHMO JJPyr OT JJPyra C xapaKTepHHM BpeMeHeM J He 3aBHCJ1ll1IDl OT

UlCJIa aTOMOB Ii

3aMe TlM lTO npH 1gt lI3 ltIoPMYJIH (41) nOJIYlBeM

-t A gt I (43)lt Rz 10gt1raquo_ ~ shy )

0Ashy( -

B cJIYiae OTCYTCTBHR HOOIIHOPOllHoro ynm-peHru JIlIlflm RMeeM A = I

( eM1 ) I103TorlY

~ (44)( ~ (rxraquo[

)

= - 3 TO 03Ha~aeT ~TO BCR 3HeprRR 3aTIaCeHHaR B CHCTeMe B HalaJIbHHfi Meshy

MeHT Bp8MeHn nepeillJIa B 3Hep~ H~8HnR B CHYlBe H80~OPOnHOro

ynm-peHHR JlHHID BKJI8Jl aHTH)630HaHCHIlX lJIeHOB B r aMKJIbTOilllaHe B38ID10shy

~6~CTBBR npHBOnBT K ~ ~ T IT03TOMY

IvIV rC (45)( k) (cgtu) gt shy ) L

Tlt~ --

HepaBeHCTBO ( 4 5 ) o3Ha~a8T ITO B pe3y~bTaTe ~n He-

OIIHOPO~oro ymHp8HKR JIlIHlIH nOCJIe np01l8cca HarryqeHRff OCTBeTCR eme Beshy

RM HHBep CKH H CBR38RHaR C Hea HeHarryqeHHaH 3HeprHR

5 KpBlep o nplDleBlDolOcn pe3YJIbTa1OB

3aKaHlHBaH p acCMOTlJ8HHe BJIJUlIDIR H60lIliOpoJtHOro ynm-pemrn JIHIDm Ha

cBepXR3JIY8 TeJIbHWi mmyJIbC cltlxJp1YJIKPy eM KPHTepHH TIpBM9tmMOCTlI IIOJrYshy

leHHUX B sectsect 2-4 p e3YJIbTaTOB lIJm npoCTOThI 6yl9M orpaImlItBaTbCR cTj-

I ~

~aeM ROr~a pa60~ 06~eM B ROTOPOM HaXO~CH HarryqaTe~ MeeT Hrshy

~006pa3HyID ~PMY

KaK 6blJIO YRa3aHO p erneHlle (21) )JJllI mrnep cID HaCeJIeHHOCTBH

ltJltc (t) H Blip8leIDle HBTaHCltJllOCTlJ f31Iyiemm (22) B o CSJracTlI t T crrpaBell)IID3Il lOJIhRO Torna ROr~a BIDIOJIIDI8TCR YCJlOBH6 (18) C Iij)yroA

CTOPOlill lIpH ~OnOJIHHTemHOM npe~lIOJIOlltemm (23) WIH BpeMeHil 3aneJlliUGI

mmyJILC8 cnpaBenmIBII OneHlUl (27) JIB ( 35 ) a Mfl )llIHTemHOCTlJ-f mmyJIbC8 T--ou eRRa (26) EMil nO~CT8BlIM (27 ) B rrpaBYRJ l8CTD (21) TO no~ymM

( R~ (-t ) gt ( 0TICj )(c1 (1) GJ(yOT

310 OSHa~eT ~TO yc~oBHe (18) aBTOMaT~eCKH BIDIo~eTCH ec~ BNshy

no~eTCR ycnoBlIe (29) C~e~OBaTeJILHo 0 6lIlHM KpHTepHeM llpHMeHilMocTIil

no~eHHUX B sect 3 pe 3YJIbTaTOB RBnR8TCR BIlIO~eHRe COOTHOm6HBR (29)

Z IN ( - i t1 ) ltL i 3~6Cb B6JlHmHll 1 H ~ ollpe~eruooT BpeMR 3auepuw H ItJmTemshy

HOCTD HMIIYJILca IIpH OTCyTCTBHlf Heo~oponHoro yumpeHIDI JIlUlllI COOTB6Tshy

CTBeHHO 3aBHCHMOCTH 3TlJX B~H OT ~c~a H~aTaneH B reoMeTpBshy

~ecKOro rIsKTo pa ~ Blip8leHl ~~Jr~ (II ) Blm lrultTopa 12 6wx rrpHshy76miJKeHHo IIOJI IeH PeJlepoM 11 36eplIIl IJ)UI p a3JIRIHHX MaKpocROlIllleClGIX

ROHqJHryp~ ~pIi pa6olero 06beM8 )lnR Kpyr~oro IJJIHHHoro ItWnnlllJla C

lIHCJIOM ~eHeJIR IIOp~ I xopome~ amtpoKCRMaJJHei CJIyXJT Bllp8teHlle

~2 -x=

S Araquo ( ~_ ) ( A I- 1FA A ~4 ) (46 )1 ~

3nech A L -COOTBeTCTB~e llHO~ OCHOB8HHR B ~a~a ) -IllIIDla BOJIBH B3J1YleHlUI )-fCIIOJIb3YR (II ) Il (46 ) nO1IJl86M 2-7

j c gy7 IV 3f~ J 1

1- t th 3el ltL (47)

It It S)

r~e = VIv - IIJIOTHOCTL B3JIyla TeJIel B pa60~eM 06beMe Vc A L 01shycnna MOlltliO nep eIIHcaTL YCJIOBHe nplWelfilMOCTH (29) B BHIJe

L gtgt Lp -= ~x (If ) (48)36)1Sshy

I middot ~

HJIll z j (~- )I raquofr = ~ A)L (49)

3~eCb IjJyHKIUfl )( (_~ ) orrpe~eMBTCfl RaR pemeHHB ypaBH6HIR

j ~

LO )( gt- i Ie 81 Jr- 2 T

B CJIym6 KOr na TaKOe pemeHR6 cymecTByeT (T e KOrna Tc e ) B rrpoTHmlOM CJIyTlBB (Kor na Tgt e ~ ) MeeM rrpoClO _k -= if

Be3~e B 3TOH p a60T6 MI rrpe~o~~ ~TO ~C~O HanyqaTe~eH ~OCshy

TaTO~O 6 0JILmoe ~T06H BIDIOJIHamp)lOCb YC~OBHe II gtgt i A B c~ae Kpyr~oro IJ1IIHHoro ~a C ~CJIOM ~eH6JU UOP1mRa I 3TO y~BHe

COrJIBCHO (46) 3KBRBMeHTHO CJIeJlY1OOeMY

J p1~L raquo1 (50)7lt0shy

t)

ITocne~ee yc~oBHe KOTopoe He06xo~0 ~TlBaTh CBR3aHO C TaM

iTO llpll oi~eHll1 ypaBHeHHR (I) Ha OCHOBe KJlHeTHleCKKX ypaaHeHHii

B pa60Te I MH JlCIIOJIL30BaHH p~ ynpomeliHH KOTOpue cnpaBe~u TOJILshy

RO Mfl CJIa60 MeHmOOerocR B rrpe~Max 06pasU1l IIOM IT03TOMY Jl)IHTeJIL-

HOCTb uponecca xapaRTepll3yeMaR B6XJllJlHOH (~ ~o~a 6UTb HaMHOshy

ro 6o~rnesectjPaRTepHoro BpeMeHH H3MeHeHllfl 8MTInMTynH O~ B 06pa3ue

ic = L C 3 ~TO 03Ha~aeT KPJlTepKlf ApeKRJl-KypTeHca 8

L L C ~I (51)

)JJllI IIpHMaHHMOCTH IIO~6HHIlX pesYJrbTaToB )-fCIIOJIL3YR REHoe BIIP~eHHe

LN B (47 ) MOJl(HO nepeIIHCaTb (5D B B~e

L z L_ I JT c- (52)kfJ 3 i ) (

Jl lITepaTy p8

1 Bogolubov NN( j r ) Pam Le Kien Shumovsky AS Physica1984

128A No 1 2 p82-98

2 Groas M Earo che S PhysRep 1982 v93 No5 p301-396

15

3 AllnpeeB AB EMeJIbHHOB B l~ VUIMHCKJ1ij Kl A YloHI980 TI3I B~n 4 c653- 694

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5 Nac Gi lli vray J C oeld )yl ~ Ph)s J(ev 1976 v14A NO3 P11(9- 1185

6 Mac GillimiddotJray Je Peld 11 hysRev 198 1 v23A No3 P1334- 134 9

7 Rehl er iE Eberl y JH PhysHev1970 vA No 5 1730-1737

b Artc ch1 F f Court ens E Phts ~eV I970 v A2 No ~ I7JO_

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11 10 iI ( I fr rll r llllmiddot d 11 h i Lahoralory o f T Ill l rl I I NIt

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3 AllnpeeB AB EMeJIbHHOB B l~ VUIMHCKJ1ij Kl A YloHI980 TI3I B~n 4 c653- 694

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5 Nac Gi lli vray J C oeld )yl ~ Ph)s J(ev 1976 v14A NO3 P11(9- 1185

6 Mac GillimiddotJray Je Peld 11 hysRev 198 1 v23A No3 P1334- 134 9

7 Rehl er iE Eberl y JH PhysHev1970 vA No 5 1730-1737

b Artc ch1 F f Court ens E Phts ~eV I970 v A2 No ~ I7JO_

-I737

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11 10 iI ( I fr rll r llllmiddot d 11 h i Lahoralory o f T Ill l rl I I NIt

Preprint of the In H i llJtt l u r Nuo l car Kesearch Dubna 1985