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Relativistic formulation of the generalized nonextensive Thomas–Fermi model

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  • Ourabah, Kamel
  • Tribeche, Mouloud

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.

Suggested Citation

  • Ourabah, Kamel & Tribeche, Mouloud, 2014. "Relativistic formulation of the generalized nonextensive Thomas–Fermi model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 470-474.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:470-474
    DOI: 10.1016/j.physa.2013.08.051
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    1. Ourabah, Kamel & Tribeche, Mouloud, 2013. "The nonextensive Thomas–Fermi theory in an n-dimensional space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4477-4480.
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