具有迁移项的n体不可逆聚集过程的动力学行为

Kinetics of n-polymer Irreversible Aggrevation Processes with Removal Term

关键词:  不可逆聚集过程  液胶-凝胶相变  迁移项  定态

Key words:  n-polymer irreversible aggrevation processes  gelation transition  removal term  steady state

摘要:

利用n体不可逆聚集过程的动力学方程(广义Smoluchovski方程),讨论了系统存在迁移作用时n体不可逆聚集过程的动力学行为,给出迁移项为S(t)=-a(t)C_m(t)-b(t)mC_m(t)的广义Smoluchovski方程的解析解;而且得出了液胶(Sol)-凝胶(Gel)相变的条件.同时,本文还讨论n体不可逆聚集过程中非凝胶系统所出现的定态;当b(t)=0时,凝胶系统发生液胶-凝胶相变的时间与非凝胶系统处于定态的时间相同.

Abstract:

We discussed the kinetics of n-polymer irreversible aggrevation processes with removal term S(t)=-a(t) C_m-b(t) mC_m. The explicit expression of C_m(t) will be obtained by the solution of Generalized Smoluchovski's equation, we discussed especially gelation transition for b(t)=0 and a(t)~(-1) ^UTt (U=2k+1,-∞ ≤ T ≤ 0);if b(t) ≠0, the gelation transition will never be happened.In this paper, we also study the steady state in aggrevation processes,we find the steady state time is the same as transition time as b(t)=0.