Correlated initial conditions in directed percolation

@article{Hinrichsen1998CorrelatedIC,
title={Correlated initial conditions in directed percolation},
author={Haye Hinrichsen and G{\'e}za {\'O}dor},
journal={Physical Review E},
year={1998},
volume={58},
pages={311-317}
}
• Published 20 February 1998
• Materials Science, Mathematics
• Physical Review E
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 $〈{s}_{i}{s}_{i+r}〉\ensuremath{\sim}{r}^{\ensuremath{\sigma}\ensuremath{-}d},$ we observe that the density of active sites in Monte Carlo simulations evolves as $\ensuremath{\rho}(t)\ensuremath{\sim}{t}^{\ensuremath{\kappa}}.$ The exponent \ensuremath{\kappa} depends continuously on \ensuremath{\sigma…
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