Смелов В.В. Лекции по теории переноса нейтронов

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nJIOTHOCTb

3TOH

BepOSlTHOCTH

X(v,

v')

/4rt, MOLKHO B CJIe,lI.YIOIUeM

snne

sanacarr,

npHObIJIb

nysox

(~a~Q)v,

cser

peaKII.HIf

AeJIeHHH:

AvAQAt

Sdo'

(v') E

(v')x(v,

v')

5dQ'q>(r,

v',

0',

t). (21.5)

v 0

Haxoaeu,

npHObIJIb

,lI.aHHbIH

rryxox

MOLKeT

ObITb

o6yCJIOBJIeHa

~YHKII.HOHHpOBaHHeM

nOCTopOHHero

HCTOQHHKa

HeHTpoHoB

rrnOTHOCTblO

(r,

t).

BKJIa,ll.

sroro

HCTOQHHKa

nysox

BbIpa3HTCSI

HHTerpaJIOM

AvAQAt

q(r,

t)dV.

(21.6)

COCTaBJISISI H3

BbIpaLKeHHH

(21.1),

(21.4~-(21.6)

6aJIaHC

HeHTpo-

HOB

rrOBTOp5lSl

TaKHe

)Ke

npeotipaaosaaaa,

KaK

B § 10,

npaxonax

ypaBHeHHIO

nepeHoca

HeHTpOHOB

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MHoroc~opOCTH~X

npoueCCOB:

I o,(r, e, u,

t)+

(

t)+~()

(

t)-

vep

r, a, c,

r, a,

=Jl:,s(V')dV'

g(v,

v',

oo')q>(r,

v',

0',

t)dQ'

J'V(v') Ed

' )

X(v,

v')dv'

(r, o',

~',

t)dQ'

+q (r, o, a, t).

(21.7)

(a)=

(a)+E

(a)=

(a)+Ef:(v)+Ec(v).

I'pananaue

yCJIOBli51 (10.14) H (10.15)

,lI.JISI

onaocxopocrnoro

_ypaBHeHHSI

OCTalOTCH

CrrpaBe,ll.J1HBhIMH

,lI.JISI

ypaBHeHHSI

(21.7) -

rro-

SlBJI5IeTCSI

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napaxerpasecxas

3aBHCHMOCTb

CKOpOCTH.

HTaK,

epanuue

pasoena cpeo

UMeeM

onep(rs-O,

t)::=onep(rs+O, at

t). (21.8)

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na epanuue C

8aKyyMoM

ORf(r

t)=O

npa

on~O.

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rex

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3TO

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uaxam.aoe

yCJIOBHe

ep(r,

to)=f(r,

(21.10)'

(f -

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<PYHKUHSI).

146

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sanasa

(21.7)-(21.10)

nonaeneaa

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lie

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(21.7)-(21.10)

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rJI.

1 naeunnue, saruxatotuue H crauuonapnue

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o', oo')cp(r,

o',

o')dQt+

V(V')~f(V')X(V,

v')dv'

Jcp(r, o',

o')dQ',

(21.11)

nO,lI.lIHHeHHOe

O,lI.HOP0,lI.HhIM

yCJIOBHHM

(21.8), (21.9).

113

.reopaa O,lI.HOP0,lI.HhIX

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sanau

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qTO

oomeM

cnyxae

ypaaneaae

(21.11) C

YCJIOBHSlMH

(21.8), (21.9)

HMeeT

TOJIhKO

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HeTpHBHaJIhHOe

penrenae

MO:>KeT cyutecrnoaa'rs

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«Y,lI.aqHbIX»

COqeTaHHSlX

napaaerpon

aanaxa

(reoaerpuxecxae

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roprosero

H T.

n.).

TaKHe

«y,naqHbIe»

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sapanee

HCCJIe,lI.O--

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nOHCK

OaH020

napa-

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TIpH

3a,naHHhIX

OCTaJIbHhIx)

HBJISleTCSI O,l{HHM

H3'

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pemeaas

aanaxa

(21.11), (21.8), (21.9).

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nOHCK

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opra-

HH30BaTb

OCHOBe

p3sHoro

po,na

33,lI.aq

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aHaqeHHH.

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npasonaaoe

HH}Ke

ypasneaae

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3H3qeHHeM

'A,)

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yCJIOBHHMH

(21.8), (21.9):'

o\7cp+Eep-

~s(v')dv'

?(v,

o',

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(r.

o',

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v')dv'

5cp(r,

o',

o')dQ'.

(21.12)

B patiorax

[41-43J

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ennaaue.

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ypasnenae

(21.12)

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yp3BHeHHlO

(21.11). A

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QTO

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aanasn

(21.11), (21.8),

(21.9)

CJIYQ3HHO

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ypasaeaae

(21.12)

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-(121.1-1),

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pe}KHM.

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9).

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1, TO

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(21.12), (21.8), (21.9) 06bf11HO

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arepauaa

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[3, 44]i:

!!'\7ep(n)

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0);

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=Q(n-l)

(r, v)jQ(,n) (r, e),

(21.13)

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v)=

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\7(v')~r<v')x(v,

v')dv'

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(21.-13)

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a 'B npenenax aanaa-

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1[44].

148

3 a ¥ es.a H H

e:_

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(:no~

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= 1-

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:(lKpHTHqeCKoMy)

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a k

>1-

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-pe)J{HMy.

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nepeaoca

(21.7)

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OT CKOpOCTM

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o, a OT

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E=v

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)

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n(r,

t)=n(r,

e, Q,

t)I;:

n(r,

t)ldEf=n(r,

o, a,

t)ldvl.

113·

paseacraa

(21.14)

cnenyer

n(r,

t)=-n(r,

o, a, t).

YMHOJKaSl

ooe

nacra

(21.15) aa v, nonysaex

(r, E,

=_1

(r, o,

t).

(21.14)

(21.15)

(21.16)

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1:a'(V)~

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149