Quantum statistics of classical particles derived from the condition of free diffusion coefficient
arXiv:1608.08655 · doi:10.1103/PhysRevE.94.062115
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.
arXiv comment7 pages, 1 figure
References in corpus (8)
- A nonequilibrium equality for free energy differences
- Coupled Quintessence
- Non Linear Kinetics underlying Generalized Statistics
- The Physics of Cosmic Acceleration
- H-Theorem and Generalized Entropies Within the Framework of Non Linear Kinetics
- A one-parameter formula for testing slow-roll dark energy: observational prospects
- Mean field approach for diffusion of interacting particles
- On the transport of interacting particles in a chain of cavities: Description through a modified Fick-Jacobs equation