Thermodynamic consistency of the q-deformed Fermi-Dirac distribution in nonextensive thermostatics

DOI10.1016/j.physleta.2010.09.038zbMath1238.82011arXiv1006.3963OpenAlexW1980419031MaRDI QIDQ418591

J. Herrera, H. S. Yoon

Publication date: 29 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3963

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Statistical thermodynamics (82B30)

Related Items (8)

Non-extensive distributions for a relativistic Fermi gas ⋮ Generalized ensemble theory with non-extensive statistics ⋮ Density matrix for a consistent non-extensive thermodynamics ⋮ Non-extensive statistics in free-electron metals and thermal effective mass ⋮ Relativistic particle in thermal non-equilibrium ⋮ Sharpening celebrated convex inequalities with applications to operators and entropies ⋮ The Effects of Nonextensivity for a General Driven Dissipative Oscillator in the Coherent States ⋮ Exact Lorentz-violating q-deformed O(N) universality class

Cites Work

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• On the cut-off prescriptions associated with power-law generalized thermostatistics
• Generalized thermostatistics and Bose-Einstein condensation
• A statistical mechanical approach to generalized statistics of quantum and classical gases
• Tsallis entropy and quantal distribution functions
• Introduction to Nonextensive Statistical Mechanics
• Asymptotically scale-invariant occupancy of phase space makes the entropy S _q extensive
• Generalized statistics and high-\(T_c\) superconductivity

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