Universal Critical Behavior in Two-Dimensional Coupled Map Lattices

Philippe Marcq, Hugues Chaté, and Paul Manneville
Phys. Rev. Lett. 77, 4003 – Published 4 November 1996
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Abstract

We numerically investigate the critical properties of nonequilibrium continuous phase transitions in two-dimensional, synchronously updated lattices of coupled chaotic maps. A finite-size scaling analysis provides evidence for the existence of a new universality class, characterized by a correlation-length exponent ν=0.89±0.03<νIsing=1.0, while the exponent ratios β/ν, γ/ν, and the amplitude ratio U* are consistent with the 2D Ising universality class. The standard value of ν is recovered for asynchronous updating rules.

  • Received 20 October 1995

DOI:https://doi.org/10.1103/PhysRevLett.77.4003

©1996 American Physical Society

Authors & Affiliations

Philippe Marcq1, Hugues Chaté1,2, and Paul Manneville1,2

  • 1Service de Physique de l'Etat Condensé, Commissariat à l'Energie Atomique–Centre d'Etudes de Saclay, 91191 Gif-sur-Yvette, France
  • 2LadHyX–Laboratoire d'Hydrodynamique, Ecole Polytechnique, 91128 Palaiseau, France

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Vol. 77, Iss. 19 — 4 November 1996

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