q-deformed structures and generalized thermodynamics

Details q-deformed structures and generalized thermodynamics q-deformed structures and generalized thermodynamics

2005-04-28

arxiv.org/abs/cond-mat/0504748v1

Rept.Math.Phys.55:423-433,2005

Physics

Condensed Matter

Statistical Mechanics

11 pages, to appear in Reports on Mathematical Physics

Scientific paper

10.1016/S0034-4877(05)80056-4

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.

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