Relativistic formulation of the generalized nonextensive Thomas–Fermi model

Kamel Ourabah and Mouloud Tribeche

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 470-474

Abstract: We present, for the first time, a formulation of the Thomas–Fermi model, taking into account thermal, nonextensive, and relativistic effects. A new generalized Thomas–Fermi equation is obtained. It is shown that unlike the thermal corrections, the nonextensivity prescription has no influence on the relativistic effects. The latter reduce the Thomas–Fermi screening length, a trend which may be attributed to the concentration of relativistic electrons in the vicinity of the nucleus. Our results may help in interpreting screening process in relativistic dense astrophysical plasmas.

Keywords: Thomas–Fermi model; Thermal effects; Tsallis statistical mechanics; Relativistic effects; Screening process (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:470-474

DOI: 10.1016/j.physa.2013.08.051

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