Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0710.0728 · Physics Letters A

Fractional exclusion statistics in general systems of interacting particles

Dragoş-Victor Anghel

Published Jul 28, 2008• 21 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2008.07.044

Related papers

Fractional exclusion statistics: the paradigm to describe interacting particle systems

Dragoş-Victor Anghel

APS•Feb 1, 2012•0 citations

Fractional Exclusion Statistics and Generalized Ideal Gases

Yong-Shi Wu

•Jan 1, 1997•0 citations

Classical and quantum correlations in an ideal gas of particles obeying fractional exclusion statistics

P. Durganandini

The European Physical Journal D•Nov 1, 2012•1 citation

Fractional exclusion statistics: the method for describing interacting particle systems as ideal gases

Dragoş-Victor Anghel

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.

arXiv:1207.6534•Physica Scripta•Nov 1, 2012•10 citations

Properties of Fractional Exclusion Statistics in Interacting Particle Systems

Dragoş-Victor Anghel

We show that fractional exclusion statistics is manifested in general in interacting systems and we discuss the conjecture recently introduced (J. Phys. A: Math. Theor. 40, F1013, 2007), according to which if in a thermodynamic system the mutual exclusion statistics parameters are not zero, then they have to be proportional to the dimension of the Hilbert space on which they act. By using simple, intuitive arguments, but also concrete calculations in interacting systems models, we show that this conjecture is not some abstract consequence of unphysical modeling, but is a natural--and for a long time overlooked--property of fractional exclusion statistics. We show also that the fractional exclusion statistics is the consequence of interaction between the particles of the system and it is due to the change from the description of the system in terms of free-particle energies, to the description in terms of the quasi-particle energies. From this result, the thermodynamic equivalence of systems of the same, constant density of states, but any exclusion statistics follows immediately.

arXiv:0804.1474•Apr 9, 2008•2 citations

The basic properties of the fractional exclusion statistics

Dragoş-Victor Anghel

Bulletin of the American Physical Society•Mar 16, 2010•0 citations
We show that fractional exclusion statistics is manifested in general in interacting systems and we discuss the conjecture recently introduced (J. Phys. A: Math. Theor. 40, F1013, 2007), according to which if in a thermodynamic system the mutual exclusion statistics parameters are not zero, then they have to be proportional to the dimension of the Hilbert space on which they act. By using simple, intuitive arguments, but also concrete calculations in interacting systems models, we show that this conjecture is not some abstract consequence of unphysical modeling, but is a natural--and for a long time overlooked--property of fractional exclusion statistics. We show also that the fractional exclusion statistics is the consequence of interaction between the particles of the system and it is due to the change from the description of the system in terms of free-particle energies, to the description in terms of the quasi-particle energies. From this result, the thermodynamic equivalence of systems of the same, constant density of states, but any exclusion statistics follows immediately.