Thomas Fermi Screening Length in q-Deformed Statistical Mechanics

TL;DR

This paper explores how q-deformed statistical mechanics influences the Thomas-Fermi screening length at finite temperatures, revealing significant effects at higher temperatures and different behaviors for various q values.

Contribution

It introduces the impact of q-deformation on screening length calculations within fermionic systems at finite temperature, highlighting temperature-dependent effects and the significance of deformation parameters.

Findings

q-deformation affects screening length at higher temperatures

Effects vanish at zero temperature

Different q values lead to varied screening behaviors

Abstract

The q-deformed statistical mechanics for fermions has been used to investigate the Thomas-Fermi screening length at finite temperature. Considering linear response, the calculations have been made at weakly nondegenerate regime. The results show that q-deformation has significance effects on screening length at higher temperatures. It is also shown that the q-deformation effects vanish at zero temperature limit. One can find that more correction terms of deformation have more effects on screening length. The bahaviour of screening length is different for different values of q.