q-deformed structures and generalized thermodynamics
arXiv:cond-mat/0504748 · doi:10.1016/S0034-4877(05)80056-4
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.
11 pages, to appear in Reports on Mathematical Physics
References in corpus (2)
Cited by in corpus (10)
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- The Wigner function of a q-deformed harmonic oscillator model
- Non-extensive entropy of bosonic Fibonacci oscillators
- Addition formulae of discrete KP, q-KP and two-component BKP systems
- Wave packet dynamics of entangled q-deformed states