## 36 Citations

Derivation of a statistical model for classical systems obeying fractional exclusion principle

- Physics
- 2022

The violation of the Pauli principle has been surmised in several models of the Fractional Exclusion Statistics and successfully applied to several quantum systems. In this letter, a classical…

A drift-diffusion model based on the fractional exclusion statistics

- Physics
- 2016

We propose a drift-diffusion model for systems which obey fractional exclusion statistics (FES), in a framework where the species include classical degrees of freedom such as positions. The…

Thermostatistics of Deformed Bosons and Fermions

- Physics
- 2010

Based on the q-deformed oscillator algebra, we study the behavior of the mean occupation number and its analogies with intermediate statistics and we obtain an expression in terms of an infinite…

DEFORMED QUANTUM STATISTICS IN TWO DIMENSIONS

- Physics
- 2009

It is known from the early work of May in 1964 that ideal Bose gas do not exhibit condensation phenomenon in two dimensions. On the other hand, it is also known that the thermostatistics arising from…

Generalized Quasi-classical Boltzmann Equation for Homogeneous Reacting Gases

- Physics
- 2003

Abstract In various fields of nuclear and condensed matter physics there exists experimental evidence which suggests the need for introduction of new statistics, different from Boltzmann–Gibbs,…

Nonextensive relativistic nuclear and subnuclear equation of state

- Physics
- 2009

Following the basic prescriptions of the Tsallis' nonextensive relativistic thermodynamics, we investigate the relevance of nonextensive statistical effects on the relativistic nuclear and subnuclear…

## References

SHOWING 1-10 OF 50 REFERENCES

Statistical distribution for generalized ideal gas of fractional-statistics particles.

- PhysicsPhysical review letters
- 1994

The occupation-number distribution in a generalized ideal gas of particles obeying fractional statistics, including mutual statistics, is derived by adopting a state-counting definition and applications to the thermodynamic properties of quasiparticle excitations in the Laughlin quantum Hall fluid are discussed.

Thomas-Fermi Method for Particles Obeying Generalized Exclusion Statistics.

- PhysicsPhysical review letters
- 1995

The Thomas-Fermi method is used to examine the thermodynamics of particles obeying Haldane exclusion statistics and obtains the exact one-particle spatial density and a closed form for the equation of state at finite temperature, which are both new results.

Classical model of bosons and fermions.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1994

This work extends this kinetics to [ital D]-dimensional continuous or discrete space, in order to study the distribution function of particles obeying a generalized exclusion-inclusion Pauli principle (EIP), and attributes to the parameter [kappa] the meaning of the degree ofmore » indistinguishability of identical particles, the degrees of antisymmetrization, or the symmetrizations of the wave function of the particle system.

Exclusion statistics: Low-temperature properties, fluctuations, duality, and applications.

- PhysicsPhysical review letters
- 1994

Some physical properties of ideal assemblies of identical particles obeying generalized exclusion statistics are derived, and an application to Mott insulators is suggested.

Statistical mechanics for a class of quantum statistics.

- PhysicsPhysical review letters
- 1994

The system of one-dimensional bosons with a two-body potential that can be solved by means of the thermodynamic Bethe ansatz is shown to be equivalent thermodynamically to a system of free particles obeying statistical distributions of the above class.

Haldane exclusion statistics and second virial coefficient.

- MathematicsPhysical review letters
- 1994

We show that Haldane's new definition of statistics, when generalized to infinite dimensional Hilbert spaces, is determined by the high temperature limit of the second virial coefficient. We thus…

A generalization of Haldane's state-counting procedure and π-deformations of statistics

- Mathematics
- 1995

Statistical mechanics of anyons

- Physics
- 1994

We propose a new generalized statistical mechanics for anyons based on a simple ansatz that has the correct familiar limiting cases. We derive the anyon equation of state from the grand partition…