Basic-deformed thermostatistics

Details Basic-deformed thermostatistics Basic-deformed thermostatistics

2007-06-04

arxiv.org/abs/0706.0426v1

J.Phys.A40:8635-8654,2007

Physics

Condensed Matter

Statistical Mechanics

23 pages, 2 fugures, Accepted on J. Phys. A: Math. Gen

Scientific paper

10.1088/1751-8113/40/30/003

Starting 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.

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