Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics

Abstract

The $q$-deformed statistics for fermions arising within the non-extensive thermostatistical formalism has been applied to the study of various quantum many-body systems recently. The aim of the present note is to point out some subtle difficulties presented by this approach in connection with the problem of thermodynamic consistency. Different possible ways to apply the $q$-deformed quantum distributions in a thermodynamically consistent way are considered.

4 pages, 1 figure

References in corpus (5)

• Nonextensive effects on the relativistic nuclear equation of state
• Nonextensive effects in the Nambu--Jona-Lasinio model of QCD
• Color Superconductivity and Tsallis Statistics
• Nonextensive Quantum H-Theorem
• Generalized Thermostatistics and Bose-Einstein Condensation

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