Quantum statistics of classical particles derived from the condition of a free diffusion coefficient.
basic_science · Level V
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- Record sourced from PubMed, PMID 28085311.
- Also identified by DOI 10.1103/PhysRevE.94.062115.
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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 noninteracting 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.