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Spatial patterns induced purely by dichotomous disorder.

J Buceta1, Katja Lindenberg

  • 1Department of Chemistry and Biochemistry, and Institute for Nonlinear Science, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093-0340, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 26, 2003
PubMed
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This study explores how quenched dichotomous disorder can create spatial patterns in Swift-Hohenberg systems. Theoretical and numerical methods confirm disorder-induced pattern formation in these extended systems.

Area of Science:

  • Complex Systems
  • Statistical Physics
  • Nonlinear Dynamics

Background:

  • Swift-Hohenberg models are used to study pattern formation in spatially extended systems.
  • Quenched disorder can significantly alter the behavior of physical systems.

Purpose of the Study:

  • To investigate the conditions under which spatial patterns emerge solely due to quenched dichotomous disorder.
  • To explore disorder-induced pattern formation in Swift-Hohenberg type systems.

Main Methods:

  • Theoretical analysis using a generalized mean-field approximation.
  • Numerical simulations of specific dynamical systems exhibiting the phenomenon.

Main Results:

  • Demonstration of spatial pattern formation driven purely by quenched dichotomous disorder.

Related Experiment Videos

  • Validation of theoretical predictions through numerical simulations.

    • Conclusions:

    • Quenched dichotomous disorder is a sufficient mechanism for inducing spatial patterns in these systems.
    • The findings offer insights into pattern formation in disordered complex systems.