Phase transitions in a nonlocal Fokker-Planck equation with multiple time scales

  • Barbara Niethammer (Universität Bonn, HCM)
A3 01 (Sophus-Lie room)


Many-particle storage systems can be modelled by a nonlocal Fokker-Planck equation that describes energy minimisation in a double well-potential, involves two small parameters and is driven by a time-dependent constraint. The dynamics takes place on three different time scales and can produce several types of hysteretic or non-hysterectic phase transitions. Formal asymptotic analysis allows to derive reduced dynamical models for different small-parameter limits. In this talk we in particular discuss the fast-reaction regime that is governed by Kramer's formula, and also indicate how the limit procedure can be made rigorous

This is joint work with Michael Herrmann and Juan Velazquez.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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