CORRELATED INITIAL CONDITIONS IN DIRECTED PERCOLATION

Authors
HINRICHSEN H ODOR G
Citation
H. Hinrichsen et G. Odor, CORRELATED INITIAL CONDITIONS IN DIRECTED PERCOLATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 311-317
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
1
Year of publication
1998
Pages
311 - 317
Database
ISI
SICI code
1063-651X(1998)58:1<311:CICIDP>2.0.ZU;2-B
Abstract
We investigate the influence of correlated initial conditions on the t emporal evolution of a (d+1)-dimensional critical directed percolation process. Generating initial states with correlations [s(i)s(i+r)]simi lar to r(sigma-d), we observe that the density of active sites in Mont e Carlo simulations evolves as p(t)similar to t(kappa). The exponent k appa depends continuously on sigma, and varies in the range - beta/nu( parallel to)less than or equal to kappa less than or equal to eta. Our numerical results are confirmed by an exact field-theoretical renorma lization group calculation.