Properties of Fractional Exclusion Statistics in Interacting Particle Systems

Simple item page
dc.creatorAnghel, Dragoş-Victor
dc.date2008-04-09
dc.date.accessioned2026-07-07T09:31:19Z
dc.date.available2026-07-07T09:31:19Z
dc.descriptionWe 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.
dc.description8 pages, 3 figures, to appear in Rom. J. Phys. Is a continuation of J. Phys. A: Math. Theor. 40 F1013-F1019 (2007); arXiv:0710.0724, and arXiv:0710.0728
dc.identifierhttps://arxiv.org/abs/0804.1474
dc.identifierhttp://arxiv.org/abs/0804.1474
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158416
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleProperties of Fractional Exclusion Statistics in Interacting Particle Systems
dc.typetext

Files

Collections

arXiv