Generalized thermodynamics of q -deformed bosons and fermions
A. Lavagno, P. Narayana Swamy
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.
arXiv:cond-mat/0111112•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Feb 7, 2002•132 citations