Mean field theory of critical coupled map lattices
arXiv:cond-mat/9806177 · doi:10.1088/0305-4470/31/29/009
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.
9 pags. 2 figs. uses ioplppt.sty - To appear in J. Phys. A