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

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

2011-10-16

arxiv.org/abs/1110.3518v1

Mathematics

Analysis of PDEs

33 pages, several figures

Scientific paper

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.

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