Generalizing Planck’s distribution by using the Carati–Galgani model of molecular collisions

Rubens D.B. Carvalho and Andre M.C. Souza

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 9, 2911-2916

Abstract: Classical systems of coupled harmonic oscillators are studied using the Carati–Galgani model. We investigate the consequences for Einstein’s conjecture by considering that the exchange of energy in molecular collisions follows the Lévy type statistics. We develop a generalization of Planck’s distribution admitting that there are analogous relations in the equilibrium quantum statistical mechanics of the relations found using the nonequilibrium classical statistical mechanics approach. The generalization of Planck’s law based on the nonextensive statistical mechanics formalism is compatible with our analysis.

Keywords: Planck’s law; Nonequilibrium; Superstatistics (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:9:p:2911-2916

DOI: 10.1016/j.physa.2011.12.056

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