Finite Size Fluctuations in Interacting Particle Systems
Ben-Naim, E. · Krapivsky, P. L.
Original · EN
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 Nf scales logarithmically with the system size N, Nf 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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