RENORMALIZATION OF NONEQUILIBRIUM SYSTEMS WITH CRITICAL STATIONARY STATES

Citation
A. Vespignani et al., RENORMALIZATION OF NONEQUILIBRIUM SYSTEMS WITH CRITICAL STATIONARY STATES, Physical review letters, 77(22), 1996, pp. 4560-4563
Citations number
30
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
77
Issue
22
Year of publication
1996
Pages
4560 - 4563
Database
ISI
SICI code
0031-9007(1996)77:22<4560:RONSWC>2.0.ZU;2-U
Abstract
We introduce the general formulation of a renormalization method suita ble to study the critical properties of nonequilibrium systems with st eady states: the dynamically driven renormalization group. We renormal ize the time evolution operator by computing the rescaled time transit ion rate between coarse grained states. The obtained renormalization e quations are coupled to a stationarity condition which provides the ap proximate nonequilibrium statistical weights of steady-state configura tions to be used in the calculations. in this way we are able to write recursion relations for the parameter evolution under scale change, f rom which we can extract numerical values for the critical exponents. This general framework allows the systematic analysis of several model s showing self-organized criticality in terms of usual concepts of pha se transitions and critical phenomena.