Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint

Michael Herrmann, Barbara Niethammer, Juan J. L. Velázquez

Type: Article

Publication Date: 2012-01-01

Citations: 20

DOI: https://doi.org/10.1137/110851882

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.

Locations

arXiv (Cornell University) - View - PDF
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