2005/12/01 by E. Brunet, Éric Brunet-Gouet, Bernard Derrida +4 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Constant (computer programming) #Cumulant #Diffusion #Front (military) #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Meteorology #Noise (video) #Phenomenological model #Physics #Position (finance) #Quantum mechanics #Statistical physics #Statistics #cond-mat.dis-nn #hep-ph
paper · pdf · doi:10.1103/physreve.73.056126
published as Phys.Rev. E73 (2006) 056126 · 10 pages, 3 figures
arxiv created 2005/12/01 · openalex publication_date 2006/05/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a phenomenological description for the effect of a weak noise on the position of a front described by the Fisher-Kolmogorov-Petrovsky-Piscounov equation or any other traveling-wave equation in the same class. Our scenario is based on four hypotheses on the relevant mechanism for the diffusion of the front. Our parameter-free analytical predictions for the velocity of the front, its diffusion constant and higher cumulants of its position agree with numerical simulations.