Correlated Initial Conditions in Directed Percolation
Statistical Mechanics
2009-10-31 v1
Abstract
We investigate the influence of correlated initial conditions on the temporal evolution of a (d+1)-dimensional critical directed percolation process. Generating initial states with correlations <s_i*s_{i+r}>~r^(sigma-d) we observe that the density of active sites in Monte-Carlo simulations evolves as rho(t)~t^kappa. The exponent kappa depends continuously on sigma and varies in the range -beta/nu_{||}<=kappa<=eta. Our numerical results are confirmed by an exact field-theoretical renormalization group calculation.
Cite
@article{arxiv.cond-mat/9802223,
title = {Correlated Initial Conditions in Directed Percolation},
author = {Haye Hinrichsen and Geza Odor},
journal= {arXiv preprint arXiv:cond-mat/9802223},
year = {2009}
}
Comments
10 pages, RevTeX, including 5 encapsulated postscript figures