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Phase ordering in chaotic map lattices with conserved dynamics.

L Angelini1, M Pellicoro, S Stramaglia

  • 1Dipartimento Interateneo di Fisica, Istituto Nazionale di Fisica Nucleare, Sezione di Bari, via Amendola 173, 70126 Bari, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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This study numerically investigates dynamical scaling in a 2D lattice model. The model exhibits non-universal behavior when both coupling and thermal fluctuations are significant, with scaling exponents varying with temperature.

Area of Science:

  • Statistical physics
  • Complex systems

Background:

  • Dynamical scaling describes how systems evolve over time.
  • Chaotic maps and Ising models are used to study complex phenomena.
  • Understanding universality classes is crucial in statistical mechanics.

Purpose of the Study:

  • To numerically study dynamical scaling in a 2D lattice model of chaotic maps.
  • To investigate the model's behavior in contact with a thermal bath.
  • To determine if the model belongs to the universality class of Langevin model B.

Main Methods:

  • Numerical simulation of a two-dimensional lattice model.
  • Modeling chaotic maps interacting with a thermal bath at temperature T.
  • Comparing the model to a conserved Ising model with fluctuating couplings.

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Main Results:

  • The model deviates from Langevin model B universality when coupling and thermal fluctuations are both important.
  • Scaling exponents continuously vary with temperature (T) and depend on the specific map used.
  • Universal behavior of model B is observed when thermal fluctuations dominate.

Conclusions:

  • The studied model does not universally belong to Langevin model B.
  • Temperature and map choice significantly influence scaling behavior.
  • Dominance of thermal fluctuations restores model B universality.