Quantum statistics of classical particles derived from the condition of free diffusion coefficient
Statistical Mechanics
2017-01-04 v2 Cosmology and Nongalactic Astrophysics
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.
Cite
@article{arxiv.1608.08655,
title = {Quantum statistics of classical particles derived from the condition of free diffusion coefficient},
author = {Miguel Hoyuelos and Pablo Sisterna},
journal= {arXiv preprint arXiv:1608.08655},
year = {2017}
}
Comments
7 pages, 1 figure