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Stochastic gel-shatter cycles in coalescence-fragmentation models
EPL ( IF 1.8 ) Pub Date : 2021-05-10 , DOI: 10.1209/0295-5075/133/53001
Brennen T. Fagan 1 , Niall J. MacKay 1 , Dmitri O. Pushkin 1 , A. Jamie Wood 1, 2
Affiliation  

We describe a new phenomenon in models of coalescence and fragmentation, that of gel-shatter cycles. These are dynamical, unforced, stochastic cycles in which slow, approximately deterministic coalescence up to and beyond gelation is followed by abrupt random shattering. We describe their appearance in simulations of stochastic models with multiplicative kernels for coalescence and spontaneous fragmentation into monomers (“shattering”). The regime in which such cycles occur is characterized by a cyclicity order parameter, and we provide a simple scaling argument which describes both this regime and those which border it.



中文翻译:

聚结-碎裂模型中的随机凝胶-破碎循环

我们在聚结和破碎模型中描述了一种新现象,即凝胶破碎循环。这些是动态的、非受迫的、随机的循环,在这种循环中,缓慢的、近似确定性的聚结达到和超过凝胶化,然后是突然的随机破碎。我们在随机模型的模拟中描述了它们的出现,该模型具有用于合并和自发分裂成单体(“破碎”)的乘法内核。发生这种循环的状态以循环顺序参数为特征,我们提供了一个简单的标度参数,它描述了这个状态及其边界。

更新日期:2021-05-10
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