SCALE-INVARIANCE OF NONCONSERVED QUANTITIES IN DRIVEN SYSTEMS

Citation
G. Grinstein et al., SCALE-INVARIANCE OF NONCONSERVED QUANTITIES IN DRIVEN SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 180000643-180000646
Citations number
19
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
48
Issue
2
Year of publication
1993
Pages
180000643 - 180000646
Database
ISI
SICI code
1063-651X(1993)48:2<180000643:SONQID>2.0.ZU;2-P
Abstract
Noisy nonequilibrium systems involving locally conserved quantities ty pically exhibit generic scale invariance-infinite correlation lengths and the associated algebraic decay of correlations without the tuning of external parameters. It is shown here that if such a conserved fiel d, phi(c), is coupled linearly to a nonconserved one, phi(n), generic power-law decays are induced in the correlations of phi(n). When symme try prevents linear coupling, correlations of the phi(n) field decay e xponentially under generic conditions, unless phi(n) experiences a bro ken symmetry, in which case linear coupling and hence algebraic decays can be generated. Numerical support for these results in simple conse rving coupled map lattices is presented.