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arXiv · 1208.5624

Multicanonical distribution and the origin of power laws

G. L. Vasconcelos·D. S. P. Salazar
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Abstract

A multicanonical formalism is applied to the problem of statistical equilibrium in a complex system with a hierarchy of dynamical structures. At the small scales the system is in quasi-equilibrium and follows a Maxwell-Boltzmann distribution with a slowly fluctuating temperature. The probability distribution for the temperature is determined using Bayesian analysis and it is then used to average the Maxwell-Boltzmann distribution. The resulting energy distribution law is written in terms of generalized hypergeometric functions, which display power-law tails.

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BibTeXRIS

G. L. Vasconcelos, D. S. P. Salazar. 2012-08-28. Multicanonical distribution and the origin of power laws. https://arxiv.org/abs/1208.5624

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