Título: Evolution of the interfaces in a two dimensional Potts model
Autores: Valle, Glauco; UFRJ
Fecha: 2007-01-01
Publicador: Electronic journal of probability
Fuente:
Tipo: Peer-reviewed Article

Tema: Exclusion Processes, Interface Dynamics, Hydrodynamic limit
60K35
Descripción: We investigate the evolution of the random interfaces in a two dimensional Potts model at zero temperature under Glauber dynamics for some particular initial conditions. We prove that under space-time diffusive scaling the shape of the interfaces converges in probability to the solution of a non-linear parabolic equation. This Law of Large Numbers is obtained from the Hydrodynamic limit of a coupling between an exclusion process and an inhomogeneous one dimensional zero range process with asymmetry at the origin.
Idioma: No aplica

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