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Spatial multistability and nonvariational effects.

M Bachir1, P Borckmans, G Dewel

  • 1Service de Chimie-Physique and Center for Nonlinear Phenomena and Complex Systems, Code Postal 231, Université Libre de Bruxelles, 1050 Brussels, Belgium.

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

The absence of a variational principle in thin bistable systems enables spatial multistability, allowing different immobilized fronts to coexist. This leads to complex patterns in reactors, even without diffusive instability.

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Area of Science:

  • Physics
  • Chemical Engineering

Background:

  • Thin bistable systems exhibit complex behaviors.
  • Variational principles are often used to describe physical systems.

Purpose of the Study:

  • Investigate spatial multistability of fronts in thin bistable systems.
  • Highlight the role of the absence of a variational principle.

Main Methods:

  • Theoretical analysis of nonvariational effects.
  • Study of morphological instability in nucleating solutions.

Main Results:

  • Nonvariational effects permit the coexistence of two distinct immobilized fronts.
  • Morphological instability drives pattern formation in one-side-fed reactors.
  • Pattern formation occurs independently of diffusive instability.

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Conclusions:

  • The absence of a variational principle is crucial for spatial multistability in these systems.
  • Nonvariational effects can lead to complex pattern formation in reactors.