MEAN-FIELD THEORY OF CRITICAL COUPLED MAP LATTICES

Authors
LEPRI S JUST W
Citation
S. Lepri et W. Just, MEAN-FIELD THEORY OF CRITICAL COUPLED MAP LATTICES, Journal of physics. A, mathematical and general, 31(29), 1998, pp. 6175-6181
Citations number
4
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
29
Year of publication
1998
Pages
6175 - 6181
Database
ISI
SICI code
0305-4470(1998)31:29<6175:MTOCCM>2.0.ZU;2-H
Abstract
We study the single-site approximation of the Perron-Frobenius equatio n for a coupled map lattice exhibiting a phase transition at a critica l value g(c) of the coupling constant. We find that the critical expon ents are the same as in the usual mean-field theory of equilibrium sta tistical mechanics. Remarkably, the value of g(c) is within 6% of the one previously obtained by numerical simulations with asynchronous upd ating.