Dynamics of aggregation-annihilation process with cluster removals

• 来源期刊: 中国物理(英文版)
• 关键词: scaling behaviour aggregation-annihilation process cluster removal
• 年，卷（期）: 2004,（5）
• 页码范围: 765-771
• 页数: 7页
• 语种: 英文

摘要

We have studied the kinetic behaviours of irreversible aggregation-annihilation models with cluster removals. In the models, an irreversible aggregation reaction occurs between any two clusters of the same species and an irreversible annihilation reaction occurs simultaneously between two different species; meanwhile, the clusters of large size are gradually removed from the system. In a mean-field limit, we obtain the general solutions of the cluster-mass distributions for the cases with an arbitrary removal probability. We found that the cluster-mass distribution of either species satisfies a generalized or modified scaling form. The results also indicate that the evolution behaviours of the systems depend strongly on the details of the reaction events.