2008/04/09 by Dragoş-Victor Anghel, Anghel, Dragoş-Victor
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum Mechanics and Applications #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0804.1474
8 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
arxiv created 2008/04/09 · openalex publication_date 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.