摘要
研究两种不同类型集团的N体不可逆的随机凝聚过程 ,这两种不同类型的集团分别是活性团和非活性团 .用生成函数的方法直接求出凝聚速率为常数时 ,活性团和非活性团的密度分布 ,结果表明它们的长时渐近行为 ,具有普适性 ,同时给出它们的类标度形式及相应的标度指数 .
Exact solutions of the rate equations of the stochastc aggregation are obtained, which involve two types of clusters:active and passive for the kernal K(i,j,k)=6 & K(i 1,i 2,:,i n)=const. The long-time behaviour of the mass distribution of the active and passive clusters have universal properties.For N-ploymer stochastc aggregation, the long-time behaviour of the mass distribution of the active and passive clusters have been derived. The active is t -n(n-1)(n-1+q) and the passive is m {-γ},γ=n(n-1)p. Furthermore,the following scaling-like forms are derived A m(t)～t {-n(n-1)(n-1+q)}F(ξ),P m(t)～t {-n(n-1)(n-1+q)}G(ξ), the scaling founctions are F(ξ)=exp(-ξ),G(ξ)=ξ -n(n-1)p}Γ1+n(n-1)p,ξ.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2002年第2期215-219,共5页
Acta Physica Sinica
基金
国家自然科学基金 (批准号 :5 986 10 0 1)资助的课题~~
