On the maximal noise for stochastic and QCD traveling waves
Abstract
Using the relation of a set of nonlinear Langevin equations with reaction-diffusion processes, we note the existence of a maximal strength of the noise for the stochastic traveling wave solutions of these equations. Its determination is obtained using the field-theoretical analysis of branching-annihilation random walks near the directed percolation transition. We study its consequence for the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation. For the related Langevin equation modeling the Quantum Chromodynamic nonlinear evolution of the gluon density with rapidity, the physical maximal-noise limit may appear before the directed percolation transition, due to a shift in the traveling-wave speed. In this regime, an exact solution is known from a coalescence process. Universality and other open problems and applications are discussed in the outlook
Cite
@article{arxiv.0803.2626,
title = {On the maximal noise for stochastic and QCD traveling waves},
author = {Robi Peschanski},
journal= {arXiv preprint arXiv:0803.2626},
year = {2008}
}
Comments
19 pages, 2 figures