Correlated initial condition simulations in directed percolation Original Research Article

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 〈sisi+r〉∼rσ−d we observe that the density of active sites in Monte Carlo simulations evolves as ρ(t)∼tκ. The exponent κ depends continuously on σ and varies in the range −β/ν∥≤κ≤η. Our numerical results agree with that of an exact field-theoretical renormalization group calculation.