Superstatistical properties of the~Dirac oscillator with gamma, lognormal, and F distributions
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 163-180
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We explore the thermal characteristics of fermionic fields with a nonminimal coupling in one, two, and three dimensions using the framework of superstatistics theory. We consider three distinct distributions: the gamma distribution, the lognormal distribution, and the F distribution. Each of these distributions is governed by a specific probability density function. To calculate the partition function, we use the Euler–Maclaurin formula, specifically in the low-energy asymptotic approximation of superstatistics. This calculation takes the remainder term into consideration. In each scenario, using the derived partition functions, we analyze the variations in entropy and specific heat with varying temperatures and the universal parameter denoted as $q$. In general, we observe that increasing the value of $q$ enhances all the curves. Additionally, we note that entropy values tend to increase as the temperature decreases, and tend to decrease as the parameter $q$ increases.
Keywords:
thermal properties, Dirac oscillator, superstatistics, Euler–Maclaurin formula.
@article{TMF_2024_219_1_a10,
author = {S. Siouane and A. Boumali and A. Guvendi},
title = {Superstatistical properties of {the~Dirac} oscillator with gamma, lognormal, and {F} distributions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {163--180},
publisher = {mathdoc},
volume = {219},
number = {1},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a10/}
}
TY - JOUR AU - S. Siouane AU - A. Boumali AU - A. Guvendi TI - Superstatistical properties of the~Dirac oscillator with gamma, lognormal, and F distributions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2024 SP - 163 EP - 180 VL - 219 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a10/ LA - ru ID - TMF_2024_219_1_a10 ER -
%0 Journal Article %A S. Siouane %A A. Boumali %A A. Guvendi %T Superstatistical properties of the~Dirac oscillator with gamma, lognormal, and F distributions %J Teoretičeskaâ i matematičeskaâ fizika %D 2024 %P 163-180 %V 219 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a10/ %G ru %F TMF_2024_219_1_a10
S. Siouane; A. Boumali; A. Guvendi. Superstatistical properties of the~Dirac oscillator with gamma, lognormal, and F distributions. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 1, pp. 163-180. http://geodesic.mathdoc.fr/item/TMF_2024_219_1_a10/