Issue |
Europhys. Lett.
Volume 39, Number 4, August II 1997
|
|
---|---|---|
Page(s) | 377 - 382 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i1997-00365-x | |
Published online | 01 September 2002 |
Conditional mean field for chaotic coupled map lattices
Laboratoire d'Hydrodynamique, Ecole Polytechnique -
91128 Palaiseau, France
CEA - Service de Physique de l'Etat Condensé,
Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette, France
Received:
20
May
1997
Accepted:
16
July
1997
A conditional mean-field approach to strongly chaotic coupled map lattices is presented. It focusses on the time evolution of the one-body probability distribution function p(X) of instantaneous site values. The local environment of a site is modelled in terms of an effective number of independent neighbours, while keeping the Perron-Frobenius operator to account for the action of the local map. This approximation is shown to produce distributions p(X) in agreement with empirical observations of non-trivial collective behaviour, and captures the essence of their dynamics.
PACS: 05.45.+b – Theory and models of chaotic systems / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 64.60.C – Order-disorder transformations, statistical mechanics of model systems
© EDP Sciences, 1997
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