Finite Size Fluctuations in Interacting Particle Systems

Details Finite Size Fluctuations in Interacting Particle Systems Finite Size Fluctuations in Interacting Particle Systems

2003-12-19

arxiv.org/abs/cond-mat/0312509v1

Phys. Rev. E 69, 046113 (2004)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevE.69.046113

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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