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

Kamel Ourabah and Mouloud Tribeche

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4477-4480

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.

Keywords: Thomas–Fermi model; Tsallis statistical mechanics; n-dimensional space (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4477-4480

DOI: 10.1016/j.physa.2013.05.006

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