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

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arxiv 1006.3963 v1 pith:ZIG4XHSS submitted 2010-06-20 cond-mat.stat-mech hep-ph

J. M. Conroy , H. G. Miller , A. R. Plastino This is my paper · ORCID
classification cond-mat.stat-mechhep-ph
keywords deformedconsistencyquantumthermodynamicappliedapplyapproacharising
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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.

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  1. Thermodynamic Analysis of Transverse Momentum Spectra in Pb-Pb Collisions at 2.76 TeV: Centrality Dependence of Temperature, Freezeout Parameters and Non-Extensitivity

    hep-ph 2025-07 conditional novelty 3.0 of 10

    Individual Tsallis fits to ALICE Pb-Pb 2.76 TeV pion, kaon, and proton spectra give effective temperatures and freezeout volumes that rise toward central collisions while the nonextensivity parameter q falls, a patter...

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