Numerical Study of a Field Theory for Directed Percolation
Condensed Matter
2009-10-22 v1
Abstract
A numerical method is devised for study of stochastic partial differential equations describing directed percolation, the contact process, and other models with a continuous transition to an absorbing state. Owing to the heightened sensitivity to fluctuationsattending multiplicative noise in the vicinity of an absorbing state, a useful method requires discretization of the field variable as well as of space and time. When applied to the field theory for directed percolation in 1+1 dimensions, the method yields critical exponents which compare well against accepted values.
Keywords
Cite
@article{arxiv.cond-mat/9407051,
title = {Numerical Study of a Field Theory for Directed Percolation},
author = {Ronald Dickman},
journal= {arXiv preprint arXiv:cond-mat/9407051},
year = {2009}
}
Comments
18 pages, LaTeX, 6 figures available upon request LC-CM-94-002