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Generalized discretization of the Kardar-Parisi-Zhang equation.

作者信息

Buceta R C

机构信息

Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata Funes 3350, B7602AYL Mar del Plata, Argentina.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):017701. doi: 10.1103/PhysRevE.72.017701. Epub 2005 Jul 12.

DOI:10.1103/PhysRevE.72.017701
PMID:16090153
Abstract

We report the generalized spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 dimensions. We solve exactly the steady state probability density function for the discrete heights of the interface, for any discretization scheme. We show that the discretization prescription is a consequence of each particular model. We derive the discretization prescription of the KPZ equation for the ballistic deposition model.

摘要

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