title: Phenomenological theory giving the full statistics of the position of fluctuating pulled fronts.
abstract: 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.
authors.affiliation: Laboratoire de Physique Statistique, Ecole Normale Supérieure, Paris, France.
authors.forename: E
authors.initials: E
authors.lastname: Brunet
authors.forename: B
authors.initials: B
authors.lastname: Derrida
authors.forename: A H
authors.initials: AH
authors.lastname: Mueller
authors.forename: S
authors.initials: S
authors.lastname: Munier