Finite Size Fluctuations in Interacting Particle Systems
Statistical Mechanics
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/0312509,
title = {Finite Size Fluctuations in Interacting Particle Systems},
author = {E. Ben-Naim and P. L. Krapivsky},
journal= {arXiv preprint arXiv:cond-mat/0312509},
year = {2007}
}
Comments
7 pages, 3 figures