Generalized Boltzmann factors induced by Weibull-type distributions

A.M. Mathai and Serge B. Provost

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 545-551

Abstract: The inverse Mellin transform technique is utilized to obtain closed form representations of the generalized Boltzmann factors associated with several Weibull-type models such as the generalized gamma, Maxwell, Rayleigh and half-normal distributions. The results complement those already available in the Physics literature in connection with the distribution of certain variables affecting the behavior of nonequilibrium systems subject to complex dynamics, which include for instance computable expressions for the generalized Boltzmann factors induced by the gamma, F, uniform and lognormal statistical models.

Keywords: Boltzmann factor; Superstatistics; Tsallis’ statistics; Inverse Mellin transform; Weibull distribution; Generalized gamma distribution; Statistical thermodynamics (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:545-551

DOI: 10.1016/j.physa.2012.10.030

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