Relativistic formulation of the generalized nonextensive Thomas-Fermi model

DOI10.1016/j.physa.2013.08.051zbMath1395.82237OpenAlexW2021385224WikidataQ58160220 ScholiaQ58160220MaRDI QIDQ1782482

Mouloud Tribeche, Kamel Ourabah

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.08.051

zbMATH Keywords

Thomas-Fermi modelthermal effectsrelativistic effectsTsallis statistical mechanicsscreening process

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Statistical mechanics of plasmas (82D10)

Related Items (8)

On the Thomas-Fermi model at the Planck scale ⋮ Asymptotic solutions for a relativistic formulation of the generalized nonextensive Thomas-Fermi model ⋮ Closed-form solutions of the Thomas-Fermi in heavy atoms and the Langmuir-blodgett in current flow ODEs in mathematical physics ⋮ Electric fields at finite temperature ⋮ Establishing existence and uniqueness of solutions to the boundary value problem involving a generalized Emden equation, embracing Thomas-Fermi-like theories ⋮ Quantum gravity corrections to a system of self-gravitating fermions ⋮ Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions ⋮ Thomas-Fermi theory at the Planck scale: a relativistic approach

Cites Work

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• Thomas-Fermi model for quasi one-dimensional finite crystals
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• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions
• The Relativistic Thomas-Fermi Atom
• Equations of State of Elements Based on the Generalized Fermi-Thomas Theory

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