Correlated Initial Conditions in Directed Percolation
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 <si*si+r>~r(sigma-d) we observe that the density of active sites in Monte-Carlo simulations evolves as rho(t)~tkappa. 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.
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