21 citations · 30 across the 2 of their papers we have counts for
2 papers
math.AP2012★ 9 cited
Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control
Michael Herrmann, Barbara Niethammer, Juan J. L. Velázquez
The hysteretic behavior of many-particle systems with non-convex free energy can be modeled by nonlocal Fokker-Planck equations that involve two small parameters and are driven by…
math.AP2011★ 21 cited
Kramers and non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint
Michael Herrmann, Barbara Niethammer, Juan J. L. Velázquez
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…