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The nonextensive Thomas–Fermi theory in an n-dimensional space

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  • Ourabah, Kamel
  • Tribeche, Mouloud

Abstract

We present a generalization of the extended nonextensive Thomas–Fermi model with thermal effects to n-dimensional space. A generalized Thomas–Fermi equation is derived. It is shown that both the linearities (thermal and nonextensive) are independent on the dimensionality of the space. It is also shown that for n=2, we have only nonextensive corrections, without the usual thermal correction term. The nonextensive corrections appear therefore to be a good correction and a way to include thermal effects in the two-dimensional Thomas–Fermi treatment for compact systems, such as graphene.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4477-4480
    DOI: 10.1016/j.physa.2013.05.006
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    1. 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.

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