Microscopic and macroscopic properties of A-superstatistics

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dc.creatorPalev, T. D.
dc.creatorStoilova, N. I.
dc.creatorVan der Jeugt, J.
dc.date2003-06-12
dc.date.accessioned2026-07-07T10:50:36Z
dc.date.available2026-07-07T10:50:36Z
dc.descriptionThe microscopic and the macroscopic properties of A-superstatistics, related to the class A(0,n-1)\equiv sl(1|n) of simple Lie superalgebras are investigated. The algebra sl(1|n) is described in terms of generators f_1^\pm, >..., f_n^\pm, which satisfy certain triple relations and are called Jacobson generators. The Fock spaces of A-superstatistics are investigated and the Pauli principle of the corresponding statistics is formulated. Some thermal properties of A-superstatistics are constructed under the assumption that the particles interact only via statistical interaction imposed by the Pauli principle. The grand partition function and the average number of particles are written down explicitly in the general case and in two particular examples: 1) the particles have one and the same energy and chemical potential; 2) the energy spectrum of the orbitals is equidistant.
dc.description26 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0306032
dc.identifierhttp://arxiv.org/abs/math-ph/0306032
dc.identifierJ.Phys.A36:7093-7112,2003
dc.identifierdoi:10.1088/0305-4470/36/25/313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184583
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleMicroscopic and macroscopic properties of A-superstatistics
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