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Subdiffusive fluctuations of "pulled" fronts with multiplicative noise

Rocco1, Ebert, Saarloos

  • 1Departament ECM, Facultat de Fisica, Universitat de Barcelona, Avenida Diagonal 647, E-08028 Barcelona, Spain.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

Front propagation in systems with multiplicative noise exhibits subdiffusive behavior. Unlike diffusive wandering, pulled fronts show root mean square fluctuations scaling with time to the power of 1/4, confirmed by simulations.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Front propagation is crucial in various scientific fields.
  • Understanding noise effects on front dynamics is essential.
  • Distinguishing between different front types (pulled vs. metastable) is key.

Purpose of the Study:

  • To investigate the propagation dynamics of pulled fronts with multiplicative noise.
  • To characterize the nature of front position fluctuations.
  • To compare the behavior of pulled fronts with fronts in metastable states.

Main Methods:

  • Theoretical analysis of pulled front propagation.
  • Introduction of multiplicative noise into the system.
  • Numerical simulations to observe front behavior over time.

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Main Results:

  • Pulled fronts exhibit subdiffusive wandering, not diffusive.
  • Root mean square fluctuations scale as t^(1/4).
  • Numerical simulations confirm the predicted subdiffusive exponent.

Conclusions:

  • Multiplicative noise fundamentally alters pulled front dynamics.
  • The t^(1/4) scaling provides a new signature for pulled front behavior.
  • This finding has implications for modeling systems with unstable states and noise.