Correlated Initial Conditions in Directed Percolation

Details Correlated Initial Conditions in Directed Percolation Correlated Initial Conditions in Directed Percolation

1998-02-20

arxiv.org/abs/cond-mat/9802223v1

Phys. Rev. E 58, 311 (1998)

Physics

Condensed Matter

Statistical Mechanics

10 pages, RevTeX, including 5 encapsulated postscript figures

Scientific paper

10.1103/PhysRevE.58.311

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 ~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.

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