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arXiv · 1608.08655

Quantum statistics of classical particles derived from the condition of free diffusion coefficient

Miguel Hoyuelos·Pablo Sisterna
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Abstract

We derive an equation for the current of particles in energy space; particles are subject to a mean field effective potential that may represent quantum effects. From the assumption that non-interacting particles imply a free diffusion coefficient in energy space we derive Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein statistics. Other new statistics are associated to a free diffusion coefficient; their thermodynamic properties are analyzed using the grand partition function. A negative relation between pressure and energy density for low temperatures can be derived, suggesting a possible connection with cosmological dark energy models.

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BibTeXRIS

Miguel Hoyuelos, Pablo Sisterna. 2016-08-30. Quantum statistics of classical particles derived from the condition of free diffusion coefficient. https://doi.org/10.1103/physreve.94.062115

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