Minimal cost for the macroscopic motion of an interface

Panagiota Birmpa (Sussex, UK)

We will discuss the power needed to force a motion of a interface between two different phases of a given ferromagnetic sample with a prescribed speed V. In this model, the interface is the non-homogeneous stationary solution of a non local evolution equation. Considering a stochastic microscopic system of Ising spins with Kac interaction evolving in time according to Glauber dynamics, we assign the cost functional which penalizes deviations from the solutions of the mesoscopic evolution equation by considering the underlying microscopic process. Then, we study the optimal way to displace the interface.

Back to Programme