q-deformed structures and generalized thermodynamics
Statistical Mechanics
2010-02-02 v1 Nuclear Theory
Quantum Physics
Abstract
On the basis of the recently proposed formalism [A. Lavagno and P.N. Swamy, Phys. Rev. E 65, 036101 (2002)], we show that the realization of the thermostatistics of q-deformed algebra can be built on the formalism of q-calculus. It is found that the entire structure of thermodynamics is preserved if we use an appropriate Jackson derivative instead of the ordinary thermodynamic derivative. Furthermore, in analogy with the quantum q-oscillator algebra, we also investigate a possible q-deformation of the classical Poisson bracket in order to extend a generalized q-deformed dynamics in the classical regime.
Cite
@article{arxiv.cond-mat/0504748,
title = {q-deformed structures and generalized thermodynamics},
author = {A. Lavagno and A. M. Scarfone and P. Narayana Swamy},
journal= {arXiv preprint arXiv:cond-mat/0504748},
year = {2010}
}
Comments
11 pages, to appear in Reports on Mathematical Physics