Generalized thermodynamics ofq-deformed bosons and fermions

A. Lavagno, P. Narayana Swamy
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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
more » ... regime and demonstrate that the nature of the q-deformation gives rise to pure quantum statistical effects stronger than undeformed boson and fermion particles.
doi:10.1103/physreve.65.036101 pmid:11909159 fatcat:5xwybifebzchdmxgdvg5sjxjne