Finite Size Fluctuations in Interacting Particle Systems

2003/12/19 by E. Ben-Naim, P. L. Krapivsky · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.69.046113

published as Phys. Rev. E 69, 046113 (2004) · 7 pages, 3 figures

arxiv created 2003/12/19 · arxiv updated 2009/12/01

Abstract

Fluctuations 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.

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