Mean field theory of critical coupled map lattices

Details Mean field theory of critical coupled map lattices Mean field theory of critical coupled map lattices

1998-06-15

arxiv.org/abs/cond-mat/9806177v1

J. Phys. A 31 (1998) 6175

Physics

Condensed Matter

9 pags. 2 figs. uses ioplppt.sty - To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/31/29/009

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.

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