Fractional exclusion statistics in general systems with interaction

Abstract

I show that fractional exclusion statistics (FES) is manifested in general interacting systems and I calculate the exclusion statistics parameters. Most importantly, I show that the mutual exclusion statistics parameters--when the presence of particles in one Hilbert space influences the dimension of another Hilbert space--are proportional to the dimension of the Hilbert space on which they act. This result, although surprising and different from the usual way of understanding the FES, renders this statistics consistent and valid in the thermodynamic limit, in accordance with the conjucture introduced in J. Phys. A: Math. Theor. 40, F1013 (2007).

I included reference to the published paper The calculations and discussions related to the maximum of the partition function have been transferred to another publication

References in corpus (11)

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• Equation of State of an Anyon Gas in a Strong Magnetic Field
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• Field theory of anyons in the lowest Landau level
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Cited by in corpus (15)

• The thermodynamic limit for fractional exclusion statistics
• From creation and annihilation operators to statistics
• An ansatz for the exclusion statistics parameters in macroscopic physical systems described by fractional exclusion statistics
• Fractional exclusion statistics -- the method to describe interacting particle systems as ideal gases
• Comment on "Statistical Distribution for Generalized Ideal Gas of Fractional-Statistics Particles", Phys. Rev. Lett. {\bf 73}, 922 (1994)
• Fractional exclusion statistics applied to relativistic nuclear matter
• General statistics of particles without spin
• Stochastic simulations for the time evolution of systems which obey generalized statistics: Fractional exclusion statistics and Gentile's statistics
• Equivalence between fractional exclusion statistics and self-consistent mean-field theory in interacting particle systems in any number of dimensions
• Revision of the fractional exclusion statistics
• From Fractional Exclusion Statistics Back to Bose and Fermi Distributions
• Properties of Fractional Exclusion Statistics in Interacting Particle Systems
• Universal features in the thermodynamics and heat transport by particles of any statistics
• The application of the fractional exclusion statistics to the BCS theory--a redefinition of the quasiparticle energies
• Derivation of a statistical model for classical systems obeying fractional exclusion principle