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Universality class of fluctuating pulled fronts.

G Tripathy1, A Rocco, J Casademunt

  • 1Instituut-Lorentz, Universiteit Leiden, Postbus 9506, 2300 RA Leiden, The Netherlands.

Physical Review Letters
|June 1, 2001
PubMed
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Noisy pulled fronts in unstable states belong to a different universality class than previously thought. Our findings suggest these fronts align with the ((d+1)+1)D Kardar-Parisi-Zhang (KPZ) equation, not the (d+1)D KPZ equation.

Area of Science:

  • Physics
  • Complex Systems
  • Statistical Mechanics

Background:

  • The standard Kardar-Parisi-Zhang (KPZ) universality class describes rough interface growth.
  • Recent proposals challenge the classification of fluctuating pulled fronts in unstable states within the standard KPZ framework.

Purpose of the Study:

  • To introduce an effective field equation for analyzing noisy pulled fronts.
  • To determine the correct universality class for these fronts in d+1 bulk dimensions.

Main Methods:

  • Development of an effective field equation.
  • Theoretical analysis based on the derived field equation.

Main Results:

  • Noisy pulled fronts in d+1 bulk dimensions are shown to belong to the universality class of the ((d+1)+1)D KPZ equation.

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  • This differs from the previously assumed (d+1)D KPZ equation universality class.

    • Conclusions:

    • The proposed scenario reconciles previously unexplained observations in the literature regarding pulled front dynamics.
    • The findings are supported by existing numerical results, providing a unified understanding of rough interface growth phenomena.