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Related Experiment Videos

Noise-induced phase separation: mean-field results.

M Ibañes1, J García-Ojalvo, R Toral

  • 1Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

Spatially correlated multiplicative noise drives phase separation in conserved-order-parameter systems. A mean-field approach accurately predicts phase diagrams, validated by 2D simulations and compared to nonconserved systems.

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Area of Science:

  • * Statistical Physics
  • * Condensed Matter Physics
  • * Computational Physics

Background:

  • * Phase separation is a fundamental process in materials science and physics.
  • * Understanding the influence of noise on phase transitions is crucial.
  • * Spatially correlated multiplicative noise presents unique challenges in theoretical modeling.

Purpose of the Study:

  • * To investigate the impact of spatially correlated multiplicative noise on phase separation.
  • * To develop and validate a mean-field theory for conserved-order-parameter systems under such noise.
  • * To compare the dynamics of conserved versus nonconserved systems driven by noise.

Main Methods:

  • * Development of a mean-field approach tailored for conserved-order-parameter systems.

Related Experiment Videos

  • * Analytical derivation of the phase diagram using the mean-field approximation.
  • * Numerical simulations of the complete model in two dimensions for validation.
  • * Comparative analysis of mean-field approximations for conserved and nonconserved systems.

    • Main Results:

    • * The mean-field approach successfully captures the phase diagram of the noise-induced phase separation.
    • * Numerical simulations in 2D confirm the predictions of the mean-field theory.
    • * Distinct noise-driven dynamics are observed between conserved and nonconserved systems at the mean-field level.

    Conclusions:

    • * Spatially correlated multiplicative noise is a significant factor in driving phase separation.
    • * The developed mean-field theory provides a reliable framework for studying these systems.
    • * The study highlights important differences in noise effects on conserved and nonconserved order parameters.