Thermostatistics of aq-deformed boson gas

A. Lavagno, P. Narayana Swamy
2000 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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.
doi:10.1103/physreve.61.1218 pmid:11046398 fatcat:fohd74zmovfu3b44tpppogma2i