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Evolution of the interfaces in a two dimensional Potts model

   
@article{EJP346,
	author = {Glauco Valle},
	title = {Evolution of the interfaces in a two dimensional Potts model},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {12},
	year = {2007},
	keywords = {Exclusion Processes, Interface Dynamics, Hydrodynamic limit},
	abstract = {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.},
	pages = {no. 12, 354-386},
	issn = {1083-6489},
	doi = {10.1214/EJP.v12-346},    
        url = {http://ejp.ejpecp.org/article/view/346}}