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Evolution of the interfaces in a two dimensional Potts model

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Evolution of the interfaces in a two dimensional Potts model
2.	Creator	Author's name, affiliation, country	Glauco Valle; UFRJ
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Exclusion Processes, Interface Dynamics, Hydrodynamic limit
3.	Subject	Subject classification	60K35
4.	Description	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.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2007-04-05
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/346
10.	Identifier	Digital Object Identifier	10.1214/EJP.v12-346
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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