Kinetic behaviour of irreversible aggregation–annihilation process with input term

Jianhong Ke and Zhenquan Lin

Physica A: Statistical Mechanics and its Applications, 2003, vol. 320, issue C, 261-274

Abstract: We study the kinetic behaviours of irreversible aggregation–annihilation processes with input of multi-polymers. In the models, an irreversible aggregation reaction occurs between any two clusters of the same species and an irreversible annihilation reaction occurs between two different species; meanwhile, the clusters of any size are gradually injected into the system. In a mean-field limit, we obtain the general solutions of the cluster-mass distributions for the cases with arbitrary input probability ρ(t). The results indicate that the cluster-mass distribution of either species satisfies a scaling law. Moreover, we also analyse emphatically the evolution behaviour of the total mass of either species under the condition of input probability ρ(t)=u(t+t0)v.

Keywords: Scaling behaviour; Aggregation–annihilation process; Input term; Rate equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:320:y:2003:i:c:p:261-274

DOI: 10.1016/S0378-4371(02)01660-6

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