Stochastic gel-shatter cycles in coalescence-fragmentation models

Autor:	Fagan, Brennen T., MacKay, Niall J., Pushkin, Dmitri O., Wood, A. Jamie
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
DOI:	10.1209/0295-5075/133/53001
Popis:	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. Comment: 6 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.07580 Zobrazit plný text záznamu View this record from Arxiv