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Front propagation sustained by additive noise.

M G Clerc1, C Falcón, E Tirapegui

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
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Noise can induce front propagation in systems with contrasting states. This study reveals how random fluctuations drive front motion, providing an analytical expression for front velocity validated by simulations.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics

Background:

  • Investigates the influence of noise on pattern formation.
  • Examines fronts between periodic and homogeneous states.

Purpose of the Study:

  • To understand noise-induced front propagation.
  • To derive equations governing front dynamics.

Main Methods:

  • Numerical simulations of the Swift-Hohenberg equation with noise.
  • Derivation of an envelope and core equation for the front.
  • Analysis of an asymmetrical periodic potential with additive noise.

Main Results:

  • Noise was shown to induce front propagation.
  • An equation for the front core with an asymmetrical potential and noise was derived.

Related Experiment Videos

  • The conversion of fluctuations into directed motion was identified as the propagation mechanism.

    • Conclusions:

    • Noise plays a crucial role in initiating and sustaining front propagation.
    • An analytical expression for front velocity was obtained and validated numerically.