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Kramers- and Non-Kramers Phase Transitions in a Nonlocal Fokker-Planck Equation

Wednesday, May 21, 2014 - 8:40am - 9:20am
Keller 3-180
Barbara Niethammer (Rheinische Friedrich-Wilhelms-Universität Bonn)
We discuss a nonlocal Fokker-Planck equation that describes energy minimisation in a double well-potential and is driven by a time-dependent constraint. Via formal asymptotic analysis we identify different small parameter regimes that correspond to hysteretic and non-hysteretic phase transitions respectively. For the fast reaction regime that is related to Kramers-type phase transitions we also indicate how can rigorously derive a rate-independent evolution equation in a small parameter limit.

This is joint work with Michael Herrmann and Juan Velazquez.