Thermostatistics of q-deformed boson gas

Details Thermostatistics of q-deformed boson gas Thermostatistics of q-deformed boson gas

1999-12-27

arxiv.org/abs/quant-ph/9912111v1

Phys.Rev.E61:1218,2000

Physics

Quantum Physics

19 pages, 5 figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.61.1218

We show that a natural realization of the thermostatistics of q-bosons can be built on the formalism of q-calculus and that the entire structure of thermodynamics is preserved if we use an appropriate Jackson derivative in place of the ordinary thermodynamics derivative. This framework allows us to obtain a generalized q-boson entropy which depends on the q-basic number. We study the ideal q-boson gas in the thermodynamic limit which is shown to exhibit Bose-Einstein condensation with higher critical temperature and discontinuous specific heat.

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