-, , .[1,4,5]. λN . , (1.13), (1.18) (1.19), , . α-,β- γ , , . , . , t t+dt . :
1. (n<<N).
2. (λt<< 1).
, , . , n (.. , ) n . , . .
N 1 . n . , , , n . N 1 n , dt N 1 ndt . dt , , : , dt , , . , , . , , , , , .. N 1 ndt, N 1 ndt /N 1 =ndt. , dt , , , ndt. dt.
P 0(t) , t . t N 1 P 0(t), t+ dt N 1 P 0(t+dt), N 1 P 0(t+dt)< N 1 P 0(t), dt N 1 P 0(t)ndt,
N 1 P 0(t+dt) = N 1 P 0(t) N 1 P 0(t)ndt,
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P 0(t+dt) - P 0(t) = - P 0(t)ndt.
dP 0/ dt = -n P 0,
,
P 0(t) = -n t . (2.1)
, , , , , .
Pn (t+dt) , t+dt n . . , n t, dt . , t n -1 , dt. N 1 P n(t)(1-n dt), N 1 Pn- 1(t)n dt. . t, dt. , ,
N 1 Pn (t+dt)= N 1 Pn (t)(1-n dt)+ N 1 Pn- 1(t)n dt.
, N 1 dt , dt 0,
dPn /dt + nPn= n Pn -1.
n= 1, n =2 . . (2.1)
(2.2)
, n t, n 0, , t. (2.2)
(2.3)
0. , n 0 ( , , ) n (n ).
, , , , (1.9) (2.3) .
, . , , .
(2.3). , , n:
, .. .
- n, , .
n (1.12)
(2.4)
s=n- 1 [2,3]. , Pn (n 0). (1.13). [. (1.15) (1.17)] [6],
(2.5)
() ()
(2.6)
t , , 70%, , n 0 [5].
, 0,
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, (2.7)
[5]
. (2.8)
. t ( ),, (2.7 J,
. (2.8)
, t, . . [4] ,
, (2.9)
,
. (2.10)
() .
y y=y (x 1 ,x 2 ,,xm), D x 1, D x 2,,D xm, [5]
. (2.11)
JA=n/t (2.11) D n
. (2.12)
. (2.13)
, , .
JA . JA+ J . J+-J, [5]
. (2.14)
T=t++t t+ t , D JA , -
=0.
,
. (2.15)
(2.16)
. (2.17)