Generalized scaling relations for unidirectionally coupled nonequilibrium systems release_aq6a4s7lt5dv3c6tmiv5jyivby

by Sungchul Kwon, Gunter M. Schutz

Released as a article .

2003  

Abstract

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an inhomogeneous active region, coupled and uncoupled respectively. The particle number of each level increases algebraically in time as N(t) ∼ t^η with different exponents η in each domain. This inhomogeneity is a quite general feature of unidirectionally coupled systems and leads to two hyperscaling relations between dynamic and static critical exponents. Using the contact process and the branching-annihilating random walk with two offsprings, which belong to the DP and PC classes respectively, we numerically confirm the scaling relations.
In text/plain format

Archived Files and Locations

application/pdf  250.4 kB
file_xmh7xvmvn5c35l7uftrfoqagru
arxiv.org (repository)
web.archive.org (webarchive)
application/pdf  228.3 kB
file_coklyktkbfhodn5qw7y2gjtgxm
archive.org (archive)
core.ac.uk (web)
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article
Stage   submitted
Date   2003-12-04
Version   v1
Language   en ?
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 0884d7b2-f110-4a90-b5ac-60d11c07127d
API URL: JSON