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Generalized thermodynamics of q-deformed bosons and fermions | A. Lavagno
; P. Narayana Swamy
; | Date: |
7 Nov 2001 | Journal: | Phys.Rev. E65 (2002) 036101 | Subject: | Statistical Mechanics | cond-mat.stat-mech hep-ph quant-ph | Abstract: | We study the thermostatistics of q-deformed bosons and fermions obeying the symmetric 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 semi-classical 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. | Source: | arXiv, cond-mat/0111112 | Other source: | [GID 559521] pmid11909159 | Services: | Forum | Review | PDF | Favorites |
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