Kramers and non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint
Analysis of PDEs
2013-04-09 v1 Mathematical Physics
math.MP
Abstract
We study a Fokker-Planck equation with double-well potential that is nonlocally driven by a dynamical constraint and involves two small parameters. Relying on formal asymptotics we identify several parameter regimes and derive reduced dynamical models for different types of phase transitions.
Keywords
Cite
@article{arxiv.1110.3518,
title = {Kramers and non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint},
author = {Michael Herrmann and Barbara Niethammer and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:1110.3518},
year = {2013}
}
Comments
33 pages, several figures