The universality class of fluctuating pulled fronts

Abstract

It has recently been proposed that fluctuating ``pulled'' fronts propagating into an unstable state should not be in the standard KPZ universality class for rough interface growth. We introduce an effective field equation for this class of problems, and show on the basis of it that noisy pulled fronts in {\em d+1} bulk dimensions should be in the universality class of the {\em (d+1)+1}D KPZ equation rather than of the {\em d+1}D KPZ equation. Our scenario ties together a number of heretofore unexplained observations in the literature, and is supported by previous numerical results.

4 pages, 2 figures

Cited by in corpus (14)

• Front propagation into unstable states
• Effects of Fluctuations on Propagating Fronts
• Internal Fluctuations Effects on Fisher Waves
• Crossover effects in a discrete deposition model with Kardar-Parisi-Zhang scaling
• The diffusion coefficient of propagating fronts with multiplicative noise
• Universality classes in anisotropic non-equilibrium growth models
• Emergence of pulled fronts in fermionic microscopic particle models
• Kardar-Parisi-Zhang universality class for the critical dynamics of reaction-diffusion fronts
• Kinematic reduction of reaction-diffusion fronts with multiplicative noise: Derivation of stochastic sharp-interface equations
• Fisher Waves and Front Roughening in a Two-Species Invasion Model with Preemptive Competition
• Fluctuating "Pulled" Fronts: the Origin and the Effects of a Finite Particle Cutoff
• Slow Crossover to Kardar-Parisi-Zhang Scaling
• Morphological transitions in supercritical generalized percolation and moving interfaces in media with frozen randomness
• FKPP fronts in quenched random media