Title

Thomas-Fermi model: Nonextensive statistical mechanics approach

Authors

Authors

E. Martinenko;B. K. Shivamoggi

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Phys. Rev. A

Keywords

FULLY-DEVELOPED TURBULENCE; Optics; Physics, Atomic, Molecular & Chemical

Abstract

In this paper, the Thomas-Fermi model for large atoms is reformulated by incorporating the nonextensive entropy prescription. The entropy nonextensivity contribution dominates the usual thermal correction term in the "low-temperature" limit. On the other hand, the entropy nonextensivity concept appears to provide a useful framework to describe the fractal nature of the Fermi surface in the nondegenerate case. Analytical calculations are given for some atomic properties, such as the total binding energy of the electrons in the atom. The nonextensivity of entropy is indicated to have the potential to provide a means to remedy one of the well-known weaknesses in the Thomas-Fermi model-the boundary effect. The virial theorem has been shown to be a robust result that holds also in the nonextensive entropy regime.

Journal Title

Physical Review A

Volume

69

Issue/Number

5

Publication Date

1-1-2004

Document Type

Article

Language

English

First Page

5

WOS Identifier

WOS:000221813700073

ISSN

1050-2947

Share

COinS