Kamel Ourabah (University of Algiers): On the Tsallis statistical mechanics approach to the Thomas - Fermi model: Application to quantum plasmas
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Europe/Budapest
Tanacsterem
Tanacsterem
Description
We present a formulation of the Thomas-Fermi
atomic model within the framework of Tsallis q - statistics.
Starting from the Tsallis counterpart of the Fermi-Dirac distribution and
keeping the same structure, we derive a
generalized Thomas-Fermi equation. It is shown
that the correction due to the Tsallis q - statistics dominates
the usual thermal correction term, in the low-temperature limit.
We apply this model to the investigation of the screening effect in a
quantum plasma. We study the effect of the Tsallis correction on the
Fermi length (counterpart of the Debye length in a quantum plasma) and its
connection with other corrections (thermal and relativistic).
A formulation of the model in an arbitrary n dimensional space
is also presented and some outlooks are discussed.
