Finite-size fluctuations in interacting particle systems

被引:11
作者
Ben-Naim, E [1 ]
Krapivsky, PL
机构
[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[2] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[3] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[4] Boston Univ, Dept Phys, Boston, MA 02215 USA
来源
PHYSICAL REVIEW E | 2004年 / 69卷 / 04期
关键词
D O I
10.1103/PhysRevE.69.046113
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
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)similar toln 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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页数:7
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