Paper Info
Title
Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint.
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 asymptotic analysis, we identify several parameter regimes and derive reduced dynamical models for different types of phase transitions.
Year
DOI
Venue
2012
10.1137/110851882
MULTISCALE MODELING & SIMULATION
Keywords
Field
DocType
multiscale dynamics,gradient flows with dynamical constraint,phase transitions,hysteresis,Fokker-Planck equation,Kramers' formula
Fokker–Planck equation,Statistical physics,Mathematical optimization,Particle system,Phase transition,Projected dynamical system,Hysteresis,Classical mechanics,Asymptotic analysis,Physics
Journal
Volume
Issue
ISSN
10
3
1540-3459
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Michael Herrmann142.41
BARBARA NIETHAMMER2155.87
J. J. L. Velázquez3138.41