Are power-law distributions an equilibrium distribution or a stationary nonequilibrium distribution?

Ran Guo and Jiulin Du

Physica A: Statistical Mechanics and its Applications, 2014, vol. 406, issue C, 281-286

Abstract: We examine whether the principle of detailed balance holds for the power-law distributions that are generated from the well-known two-variable Langevin equation and the associated Fokker–Planck equations. With the detailed balance and the generalized fluctuation–dissipation relation, we derive analytically the stationary power-law distribution from the Ito’s, Stratonovich’s and Zwanzig’s Fokker–Planck equations, and conclude that the power-law distributions can either be a stationary nonequilibrium distribution or an equilibrium distribution, which depend on information about the form of the diffusion coefficient function and the existence and uniqueness of an equilibrium state.

Keywords: Power-law distributions; Detailed balance; Generalized fluctuation–dissipation relation; Nonequilibrium stationary-state (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:406:y:2014:i:c:p:281-286

DOI: 10.1016/j.physa.2014.03.056

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