An ansatz for the exclusion statistics parameters in macroscopic physical systems described by fractional exclusion statistics
arXiv:0909.0030 · doi:10.1209/0295-5075/90/10006
Abstract
I introduce an ansatz for the exclusion statistics parameters of fractional exclusion statistics (FES) systems and I apply it to calculate the statistical distribution of particles from both, bosonic and fermionic perspectives. Then, to check the applicability of the ansatz, I calculate the FES parameters in three well-known models: in a Fermi liquid type of system, a one-dimensional quantum systems described in the thermodynamic Bethe ansatz and quasiparticle excitations in the fractional quantum Hall (FQH) systems. The FES parameters of the first two models satisfy the ansatz, whereas those of the third model, although close to the form given by the ansatz, represent an exception. With this ocasion I also show that the general properties of the FES parameters, deduced elsewhere (EPL 87, 60009, 2009), are satisfied also by the parameters of the FQH liquid.
6 pages, EPL style
References in corpus (3)
Cited by in corpus (9)
- Fractional exclusion statistics -- the method to describe interacting particle systems as ideal gases
- Fractional exclusion statistics applied to relativistic nuclear matter
- Universal heat conductance of one-dimensional channels
- 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
- From Fractional Exclusion Statistics Back to Bose and Fermi Distributions
- 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
- Fractional exclusion statistics in disordered interacting particle systems