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arXiv 1998-02-20 DOI 10.1103/PhysRevE.58.311 0 views

Correlated Initial Conditions in Directed Percolation

Hinrichsen, Haye · Odor, Geza

Original · EN

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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