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Stochastic gel-shatter cycles in coalescence-fragmentation models
- Publication Year :
- 2021
-
Abstract
- 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.<br />Comment: 6 pages, 4 figures
- Subjects :
- Mathematics - Dynamical Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2102.07580
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1209/0295-5075/133/53001