Microcanonical Foundation for Systems with Power-Law Distributions

Abstract

Starting from microcanonical basis with the principle of equal a priori probability, it is found that, besides ordinary Boltzmann-Gibbs theory with the exponential distribution, a theory describing systems with power-law distributions can also be derived.

9 pages

References in corpus (3)

• Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics
• Lévy Distribution of Single Molecule Line Shape Cumulants in Low Temperature Glass
• Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis

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