Thomas–Fermi Screening Length in q-Deformed Statistical Mechanics

Main Article Content

M. Mohammadi Sabet

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 in a weakly nondegenerate regime. The results show that q-deformation has significant effects on screening length at higher temperatures. The results also show that the q-deformation effects vanish at zero temperature limit and that more correction terms of deformation have more effects on screening length. The behavior of screening length is different for different values of q.

Article Details

How to Cite
[1]
M. Mohammadi Sabet, “Thomas–Fermi Screening Length in q-Deformed Statistical Mechanics”, Acta Phys. Pol. A, vol. 147, no. 1, p. 6, Jan. 2025, doi: 10.12693/APhysPolA.147.6.
Section
Regular segment

References

J.C. Slater, H.M. Krutter, Phys. Rev. 47, 559 (1935)

L. Spruch, Rev. Mod. Phys. 63, 151 (1991)

K. Nozari, Z. Haghani, J. Vahedi, Adv. High Energy Phys. 2014, 418342 (2014)

H. Shababi, K. Ourabah, Phys. Lett. A 383, 1105 (2019)

H. Shababi, K. Ourabah, Ann. Phys. 413, 168051 (2020)

H. Shababi, Eur. Phys. J. Plus 137, 376 (2022)

B.K. Shivamoggy, P. Mulser, Phys. Rev. A 54, 4830 (1996)

E.P. Borges, C. Tsallis, G.F.J. Añaños, P.M.C. de Oliveira, Phys. Rev. Lett. 89, 254103 (2002)

O. Sotolongo-Costa, A. Posadas, Phys. Rev. Lett. 92, 048501 (2004)

S. Jang, S. Shin, Y. Pak, Phys. Rev. Lett. 91, 058305 (2003)

C. Tsallis, J. Stat. Phys. 52, 479 (1988)

L.C. Biedenharn, J. Phys. A Math. Gen. 22, L873 (1989)

A. Macfarlane, J. Phys. A Math. Gen. 22, 4581 (1989)

R. Caracciolo, M.R. Monteiro, Phys. Lett. B 308, 58 (1993)

A. Lerda, S. Sciuto, Nucl. Phys. B 401, 613 (1993)

H. Liu, F. Men, Y. Li, B. Guan, M. Zhang, Wuhan Univ. J. Nat. Sci. 15, 057 (2010)

S. Cai, G. Su, J. Chen, J. Phys. A Math. Theor. 40, 11245 (2007)

C.R. Lee, J.P. Yu, Phys. Lett. A 150, 63 (1990)

W. Sang Chung, H. Hassanabadi, Mod. Phys. Lett. A 35, 2050074 (2020)

W.S. Chung, A. Algin, Phys. Scr. 99, 055229 (2024)