Correlated Initial Conditions in Directed Percolation

Дата и время публикации : 1998-02-20T17:08:49Z

Авторы публикации и институты :
Haye Hinrichsen
Geza Odor

Ссылка на журнал-издание: Phys. Rev. E 58, 311 (1998)
Коментарии к cтатье: 10 pages, RevTeX, including 5 encapsulated postscript figures
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech

Краткий обзор статьи: 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}>~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.

Category: Physics