title: Quantum statistics of classical particles derived from the condition of a free diffusion coefficient.
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.
authors.affiliation: Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR-CONICET), Funes 3350, 7600 Mar del Plata, Argentina.|Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600 Mar del Plata, Argentina.
authors.forename: M
authors.initials: M
authors.lastname: Hoyuelos
authors.affiliation: Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600 Mar del Plata, Argentina.
authors.forename: P
authors.initials: P
authors.lastname: Sisterna