Multicanonical Distribution and the Origin of Power Laws

  • G. L. Vasconcelos Departamento de Física, Universidade Federal de Pernambuco
  • D. S. P. Salazar Unidade de Educação a Distância e Tecnologia, Universidade Federal Rural de Pernambuco

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.


 

Published
Aug 14, 2012
How to Cite
VASCONCELOS, G. L.; SALAZAR, D. S. P.. Multicanonical Distribution and the Origin of Power Laws. Revista Cubana de Física, [S.l.], v. 29, n. 1E, p. 1E51-1E54, aug. 2012. ISSN 2224-7939. Available at: <https://revistacubanadefisica.org/index.php/rcf/article/view/RCF_29-1E_051_2012>. Date accessed: 13 aug. 2022.
Section
Original Articles (E)