Phys. Rev. E 68, 055104(R) (2003) [4 pages]Stable equilibrium based on Lévy statistics: Stochastic collision models approach
We investigate equilibrium properties of two very different stochastic collision models: (i) the Rayleigh particle and (ii) the driven Maxwell gas. For both models the equilibrium velocity distribution is a Lévy distribution, the Maxwell distribution being a special case. We show how these models are related to fractional kinetic equations. Our work demonstrates that a stable power-law equilibrium, which is independent of details of the underlying models, is a natural generalization of Maxwell’s velocity distribution. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.055104
DOI:
10.1103/PhysRevE.68.055104
PACS:
05.70.-a, 02.50.-r, 05.40.Fb, 51.10.+y
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