Front Propagation in Reaction-Superdiffusion Dynamics - Taming Lévy Flights with Fluctuations

Simple item page
dc.creatorBrockmann, D.
dc.creatorHufnagel, L.
dc.date2004-01-19
dc.date.accessioned2026-07-07T02:55:57Z
dc.date.available2026-07-07T02:55:57Z
dc.descriptionWe investigate front propagation in a reacting particle system in which particles perform scale-free random walks known as Levy flights. The system is described by a fractional generalization of a reaction-diffusion equation. We focus on the effects of fluctuations caused by a finite number of particles. We show that, inspite of superdiffusive particle dispersion and contrary to mean field theoretical predictions, wave fronts propagate at constant velocities, even for very large particle numbers. We show that the asymptotic velocity scales with the particle number and obtain the scaling exponent.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0401322
dc.identifierhttp://arxiv.org/abs/cond-mat/0401322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23138
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleFront Propagation in Reaction-Superdiffusion Dynamics - Taming Lévy Flights with Fluctuations
dc.typetext

Files

Collections

arXiv