Non-equilibrium phase transition and cluster size distribution in aggregation and weighted-fragmentation processes

Makoto Sekiyama, Toshiya Ohtsuki and Hiroshi Yamamoto

Physica A: Statistical Mechanics and its Applications, 2022, vol. 599, issue C

Abstract: Through numerical simulations, we investigate the influence of an index ϕ on the cluster size distribution in aggregation and weighted-fragmentation processes where a decomposed cluster of size a is selected with a power-law weight W(a)∝aϕ. We reveal the existence of a non-equilibrium phase transition from an exponentially decayed phase to a partially condensed phase and calculate the threshold ϕc for this phase transition. For ϕ>ϕc, cluster size distribution asymptotically obeys exponential decay, which results in the largest cluster sized on the order of lnN, where N is a total cluster number. Exponential decay rates are computed as a function of ϕ. It is notable that the curvature of the distribution changes its sign at ϕ=1. For ϕ<ϕc, a partially condensed phase takes place and one big cluster sized on the order of a total monomer number M emerges and coexists with small clusters.

Keywords: Aggregation-fragmentation; Weighted-fragmentation; Non-equilibrium; Phase transition (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:599:y:2022:i:c:s0378437122003156

DOI: 10.1016/j.physa.2022.127425

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