Volume 133, Number 5, March 2021
|Number of page(s)||6|
|Section||Atomic, Molecular and Optical Physics|
|Published online||10 May 2021|
Stochastic gel-shatter cycles in coalescence-fragmentation models
1 Department of Mathematics, University of York - York, YO10 5DD UK
2 Department of Biology, University of York - York, YO10 5DD UK
Received: 30 September 2020
Accepted: 19 February 2021
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.
PACS: 36.40.Qv – Stability and fragmentation of clusters / 02.70.-c – Computational techniques; simulations / 47.57.eb – Diffusion and aggregation
© 2021 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.