On the maximal noise for stochastic and QCD traveling waves
| dc.creator | Peschanski, Robi | |
| dc.date | 2008-03-18 | |
| dc.date.accessioned | 2026-07-07T11:49:10Z | |
| dc.date.available | 2026-07-07T11:49:10Z | |
| dc.description | 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 | |
| dc.description | 19 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0803.2626 | |
| dc.identifier | http://arxiv.org/abs/0803.2626 | |
| dc.identifier | Nucl.Phys.B805:377-390,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.06.010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203141 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the maximal noise for stochastic and QCD traveling waves | |
| dc.type | text |