Finite Size Fluctuations in Interacting Particle Systems

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dc.creatorBen-Naim, E.
dc.creatorKrapivsky, P. L.
dc.date2003-12-19
dc.date.accessioned2026-07-07T02:55:29Z
dc.date.available2026-07-07T02:55:29Z
dc.descriptionFluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet finite number of particles, where the final number of particles N_f scales logarithmically with the system size N, N_f ~ ln N. Statistical fluctuations, that become significant as the number of particles diminishes, are responsible for this behavior. This phenomenon underlies a broad range of interacting particle systems including in particular multispecies annihilation processes.
dc.description7 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312509
dc.identifierhttp://arxiv.org/abs/cond-mat/0312509
dc.identifierPhys. Rev. E 69, 046113 (2004)
dc.identifierdoi:10.1103/PhysRevE.69.046113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22961
dc.subjectStatistical Mechanics
dc.titleFinite Size Fluctuations in Interacting Particle Systems
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