Volume 39, Number 4, August II 1997
|Page(s)||377 - 382|
|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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.