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Finite Size Fluctuations in Interacting Particle Systems

E. Ben-Naim·P. L. Krapivsky
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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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BibTeXRIS

E. Ben-Naim, P. L. Krapivsky. 2003-12-19. Finite Size Fluctuations in Interacting Particle Systems. https://doi.org/10.1103/physreve.69.046113

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