Basic-deformed thermostatistics

Simple item page
dc.creatorLavagno, A.
dc.creatorScarfone, A. M.
dc.creatorSwamy, P. Narayana
dc.date2007-06-04
dc.date.accessioned2026-07-07T10:56:01Z
dc.date.available2026-07-07T10:56:01Z
dc.descriptionStarting from the basic-exponential, a q-deformed version of the exponential function established in the framework of the basic-hypergeometric series, we present a possible formulation of a generalized statistical mechanics. In a q-nonuniform lattice we introduce the basic-entropy related to the basic-exponential by means of a q-variational principle. Remarkably, this distribution exhibits a natural cut-off in the energy spectrum. This fact, already encountered in other formulations of generalized statistical mechanics, is expected to be relevant to the applications of the theory to those systems governed by long-range interactions. By employing the q-calculus, it is shown that the standard thermodynamic functional relationships are preserved, mimicking, in this way, the mathematical structure of the ordinary thermostatistics which is recovered in the q=1 limit.
dc.description23 pages, 2 fugures, Accepted on J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/0706.0426
dc.identifierhttp://arxiv.org/abs/0706.0426
dc.identifierJ.Phys.A40:8635-8654,2007
dc.identifierdoi:10.1088/1751-8113/40/30/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186273
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectNuclear Theory
dc.titleBasic-deformed thermostatistics
dc.typetext

Files

Collections

arXiv