From creation and annihilation operators to statistics
arXiv:1706.01795 · doi:10.1016/j.physa.2017.09.006
Abstract
A procedure to derive the partition function of non-interacting particles with exotic or intermediate statistics is presented. The partition function is directly related to the associated creation and annihilation operators that obey some specific commutation or anti-commutation relations. The cases of Gentile statistics, quons, Polychronakos statistics, and ewkons are considered. Ewkons statistics was recently derived from the assumption of free diffusion in energy space (Phys. Rev. E 94, 062115, 2016); an ideal gas of ewkons has negative pressure, a feature that makes them suitable for the description of dark energy.
15 pages, 1 figure
References in corpus (14)
- Cosmological Imprint of an Energy Component with General Equation of State
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Non Linear Kinetics underlying Generalized Statistics
- The Physics of Cosmic Acceleration
- Planck 2015 results. XIV. Dark energy and modified gravity
- Probabilities and Path-Integral Realization of Exclusion Statistics
- Kinetic model for q-deformed bosons and fermions
- Thermodynamic Geometry of Fractional Statistics
- Thermodynamics for Fractional Exclusion Statistics
- Calculating statistical distributions from operator relations: the statistical distributions of various intermediate statistics
- Fractional exclusion statistics in general systems with interaction
- Quantum statistics of classical particles derived from the condition of free diffusion coefficient
- Mean field approach for diffusion of interacting particles
- Thermodynamic Bethe ansatz for generalized extensive statistics
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