Abbreviated Journal Title
Phys. Rev. A
FULLY-DEVELOPED TURBULENCE; Optics; Physics, Atomic, Molecular & Chemical
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.
Physical Review A
Martinenko, Evgeny and Shivamoggi, Bhimsen K., "Thomas-Fermi model: Nonextensive statistical mechanics approach" (2004). Faculty Bibliography 2000s. 4573.