PMID: 11909159Mar 23, 2002Paper

Generalized thermodynamics of q-deformed bosons and fermions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Lavagno, P Narayana Swamy

Abstract

We study the thermostatistics of q-deformed bosons and fermions obeying the symmetric (q<-->q(-1)) algebra and show that it can be built on the formalism of q calculus. The entire structure of thermodynamics is preserved if ordinary derivatives are replaced by an appropriate Jackson derivative. In this framework, we derive the most important thermodynamic functions describing the q-boson and q-fermion ideal gases in the thermodynamic limit. We also investigate the semiclassical limit and the low-temperature regime and demonstrate that the nature of the q deformation gives rise to pure quantum statistical effects stronger than undeformed boson and fermion particles.

References

Jun 15, 1991·Physical Review. D·O W Greenberg
Feb 12, 1990·Physical Review Letters·O W Greenberg
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Lavagno, P N Swamy

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Citations

Jun 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Abdullah Algin, Mustafa Senay
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Abdullah AlginGozde Topcu
Dec 11, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A M Gavrilik, Yu A Mishchenko

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