Numerical study of local and global persistence in directed percolation |
| |
Authors: | H Hinrichsen HM Koduvely |
| |
Institution: | Max-Planck-Institut für Physik komplexer Systeme, N?thnitzer Stra?e 38, 01187 Dresden, Germany, DE Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel, IL
|
| |
Abstract: | The local persistence probability P
l
(t) that a site never becomes active up to time t, and the global persistence probability P
g
(t) that the deviation of the global density from its mean value does not change its sign up to time t are studied in a (1+1)-dimensional directed percolation process by Monte-Carlo simulations. At criticality, starting from
random initial conditions, P
l
(t) decays algebraically with the exponent . The value is found to be independent of the initial density and the microscopic details of the dynamics, suggesting is an universal exponent. The global persistence exponent is found to be equal or larger than . This contrasts with previously known cases where . It is shown that in the special case of directed-bond percolation, P
l
(t) can be related to a certain return probability of a directed percolation process with an active source (wet wall).
Received: 15 December 1997 / Revised: 6 April 1998 / Accepted: 29 May 1998 |
| |
Keywords: | PACS 64 60 Ak Renormalization-group fractal and percolation studied of phase transition - 05 40 +j Fluctuation phenomena random processes and Brownian motion - 05 70 Ln Nonequilibrium thermodynamics irreversible processes |
本文献已被 SpringerLink 等数据库收录! |
|