Generalized discretization of the Kardar-Parisi-Zhang equation
Other Condensed Matter
2012-09-21 v1 Soft Condensed Matter
Abstract
We introduce 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. From the ballistic deposition model we derive the discretization prescription of the corresponding KPZ equation.
Keywords
Cite
@article{arxiv.cond-mat/0410515,
title = {Generalized discretization of the Kardar-Parisi-Zhang equation},
author = {R. C. Buceta},
journal= {arXiv preprint arXiv:cond-mat/0410515},
year = {2012}
}
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9 pages