Abstract The exact solutions of the rate equations of the n-polymer stochastic aggregation involving two types of clusters, active and passive for the kernel $\prod_{k=1}^{n} s_{i_{k}}\left(s_{i_{k}}=i_{k}\right)$ and $\sum_{k=1}^{n} s_{i_{k}}\left(s_{i_{k}}=i_{k}\right)$, are obtained. The large-mass behaviours of the final mass distribution of the active and passive clusters have scaling-like forms, although the models exhibit different properties. Respectively, they have different decay exponents $\gamma=\frac{2 n+1}{2(n-1)}$ and $\gamma=q+\frac{2 n+1}{2(n-1)}$ for $\prod_{k=1}^{n} s_{i_{k}}\left(s_{i_{k}}=i_{k}\right)$ and $\gamma=\frac{3}{2(n-1)}$and $\gamma=q+\frac{3}{2(n-1)}$ for$\sum_{k=1}^{n} s_{i_{k}}\left(s_{i_{k}}=i_{k}\right)$, which include exponents of two-polymer stochastic aggregation. We also find that gelation is suppressed for kernel $\prod_{k=1}^{n} s_{i_{k}}\left(s_{i_{k}}=i_{k}\right) $ which is different from the deterministic aggregation.
Received: 28 October 2001
Revised: 24 December 2001
Accepted manuscript online:
Fund: Project supported by the Special Fund for Theoretic Physics of the National Natural Science Foundation of China (Grant No 10147201) (Cooperation Project of East and West).
Cite this article:
Xue Yu (薛郁), Chen Guang-Zhi (陈光旨) Mass distribution in n-polymer stochastic aggregation and large-mass behaviour 2002 Chinese Physics 11 684
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
