Mean field theory of critical coupled map lattices
Condensed Matter
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Abstract
We study the single-site approximation of the Perron-Frobenius equation for a coupled map lattice exhibiting a phase transition at a critical value g_c of the coupling constant. We found that the critical exponents are the same as in the usual mean-field theory of equilibrium statistical mechanics. Remarkably, the value of g_c is within six percent of the one previously obtained by numerical simulations with asynchronous updating.
Keywords
Cite
@article{arxiv.cond-mat/9806177,
title = {Mean field theory of critical coupled map lattices},
author = {Stefano Lepri and Wolfram Just},
journal= {arXiv preprint arXiv:cond-mat/9806177},
year = {2009}
}
Comments
9 pags. 2 figs. uses ioplppt.sty - To appear in J. Phys. A