Fractional exclusion statistics -- the method to describe interacting particle systems as ideal gases

Abstract

I show that if the total energy of a system of interacting particles may be written as a sum of quasiparticle energies, then the system of quasiparticles can be viewed in general as an ideal gas with fractional exclusion statistics (FES). The general method for calculating the FES parameters is also provided. The interacting particle system cannot be described as an ideal gas of Bose and Fermi quasiparticles except in trivial situations.

4 pages, 1 figure

References in corpus (14)

• Thermodynamics of an one-dimensional ideal gas with fractional exclusion statistics
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Thermodynamics for Fractional Exclusion Statistics
• Universal behaviour of ideal and interacting quantum gases in two dimensions
• The thermodynamic limit for fractional exclusion statistics
• Thermodynamics of ideal quantum gas with fractional statistics in D dimensions
• Exclusion statistics: A resolution of the problem of negative weights
• Fractional exclusion statistics in general systems with interaction
• Taxonomy of particles in Ising spin chains
• Generalized Pauli principle for particles with distinguishable traits
• Thermodynamics of statistically interacting quantum gas in D dimensions
• An ansatz for the exclusion statistics parameters in macroscopic physical systems described by fractional exclusion statistics
• Comment on "Statistical Distribution for Generalized Ideal Gas of Fractional-Statistics Particles", Phys. Rev. Lett. {\bf 73}, 922 (1994)
• Universal heat conductance of one-dimensional channels

Cited by in corpus (8)

• Condensation of an ideal gas with intermediate statistics on the horizon
• Weakly nonadditive Polychronakos statistics
• Equivalence between fractional exclusion statistics and self-consistent mean-field theory in interacting particle systems in any number of dimensions
• From Fractional Exclusion Statistics Back to Bose and Fermi Distributions
• The application of the fractional exclusion statistics to the BCS theory--a redefinition of the quasiparticle energies
• Fractional Exclusion Statistics as an Occupancy Process
• On the combinatorics of exclusion in Haldane fractional statistics
• Derivation of a statistical model for classical systems obeying fractional exclusion principle