Poincaré's observation and the origin of Tsallis generalized canonical distributions

C. Vignat and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2006, vol. 365, issue 1, 167-172

Abstract: In this paper, we present some geometric properties of the maximum entropy Tsallis-distributions under energy constraint. In the case q>1, these distributions are proved to be marginals of uniform distributions on the sphere; in the case q<1, they can be constructed as conditional distributions of a Cauchy law built from the same uniform distribution on the sphere using a gnomonic projection. As such, these distributions reveal the relevance of using Tsallis distributions in the microcanonical setup: an example of such application is given in the case of the ideal gas.

Keywords: MaxEnt; Poincaré observation; Tsallis distributions (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:365:y:2006:i:1:p:167-172

DOI: 10.1016/j.physa.2006.01.028

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