Generalizing Planck's distribution by using the Carati-Galgani model of molecular collisions

Details Generalizing Planck's distribution by using the Carati-Galgani model of molecular collisions Generalizing Planck's distribution by using the Carati-Galgani model of molecular collisions

2011-08-12

arxiv.org/abs/1108.2658v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

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 exchanges of energy, in molecular collisions, follows the L\'evy 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 the our analysis.

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