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

DOI10.1137/110851882zbMath1255.35209arXiv1110.3518OpenAlexW2068181195MaRDI QIDQ4903655

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

Publication date: 24 January 2013

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3518

zbMATH Keywords

hysteresisFokker-Planck equationphase transitionsmultiscale dynamicsKramers' formulagradient flows with dynamical constraint

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Fokker-Planck equations (35Q84)

Related Items (7)

Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation ⋮ Mass transport in Fokker–Planck equations with tilted periodic potential ⋮ Stochastic many-particle model for LFP electrodes ⋮ Instability of Hysteretic Phase Interfaces in a Mean-Field Model with Inhomogeneities ⋮ Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control ⋮ Well-posedness of the limiting equation of a noisy consensus model in opinion dynamics ⋮ Global existence for a nonlocal and nonlinear Fokker-Planck equation

This page was built for publication: Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint