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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
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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.

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.

Related Experiment Videos

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.