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In this comment, we discuss the mathematical formalism used in Boumali et al. (2020) which describes the superstatistical thermal properties of a one-dimensional Dirac oscillator. In particular, we point out the importance of maintaining…

Statistical Mechanics · Physics 2020-10-05 Jorge David Castaño-Yepes , I. A. Lujan-Cabrera , C. F. Ramirez-Gutierrez

We study the effects of the environment described by the Tsallis nonextensive statistics on physical quantities using an optimization method in the case of small deviation from the Boltzmann-Gibbs statistics. The $x^4$ model is used and the…

Statistical Mechanics · Physics 2014-12-23 Masamichi Ishihara

The incapability of thermal models to accurately reproduce the horn-like structure of the Kaon-to-pion ratio measured at AGS, SPS, and low RHIC energies, as well as confirmed in the beam energy scan program, has long been a persistent…

High Energy Physics - Phenomenology · Physics 2024-11-19 Abdel Nasser Tawfik , Eman R. Abou Elyazeed , A. A. Alshehri , Hayam Yassin

The linear $\delta$ expansion is used to obtain corrections up to O$(\delta^2)$ to the self-energy for a complex scalar field theory with a $\lambda (\phi^{\star}\phi)^2$ interaction at high temperature and non-zero charge density. The…

High Energy Physics - Theory · Physics 2011-07-19 H. F. Jones , Philip Parkin

We investigate the nonextensivity and the q-distribution of a relativistic gas under an external electromagnetic field. We derive a formula expression of the nonextensive parameter q based on the relativistic generalized Boltzmann equation,…

Statistical Mechanics · Physics 2015-08-10 Zhipeng Liu , Jiulin Du , Lina Guo

We discuss the potential advantages of calculating the effective mass of quasiparticles in the interacting electron liquid from the low-temperature free energy vis-a-vis the conventional approach, in which the effective mass is obtained…

Strongly Correlated Electrons · Physics 2017-07-26 F. G. Eich , Markus Holzmann , G. Vignale

We perform nonadiabatic simulations of warm dense aluminum based on the electron-force field (EFF) variant of wave-packet molecular dynamics. Comparison of the static ion-ion structure factor with density functional theory (DFT) is used to…

Plasma Physics · Physics 2020-12-08 Ryan A. Davis , W. A. Angermeier , R. Hermsmeier , Thomas G. White

The $q$-deformed statistics for fermions arising within the non-extensive thermostatistical formalism has been applied to the study of various quantum many-body systems recently. The aim of the present note is to point out some subtle…

Statistical Mechanics · Physics 2014-11-21 J. M. Conroy , H. G. Miller , A. R. Plastino

This is a concise introduction to the topic of nonextensive Tsallis statistics meant especially for those interested in its relation to high energy proton-proton, proton-nucleus, and nucleus-nucleus collisions. The three types of Tsallis…

High Energy Physics - Phenomenology · Physics 2021-10-11 Joseph I. Kapusta

Theoretical descriptions of the spectrum of electronic excitations in real metals have not yet reached a fully predictive, "first-principles" stage. In this paper we begin by presenting brief highlights of recent progress made in the…

Materials Science · Physics 2007-05-23 Adolfo G. Eguiluz , Wolf-Dieter Schoene

Temperature variations of the heat capacity (C) are studied in a low temperature regime for 2D-, and 3D-systems with N~100-10000 treated as a canonical ensemble of N-noninteracting fermions. The analysis of C is performed by introducing…

Mesoscale and Nanoscale Physics · Physics 2008-12-01 N. K. Kuzmenko , V. M. Mikhajlov

We discuss experimental constraints on the free parameter of the nonextensive kinetic theory from measurements of the thermal dispersion relation in a collisionless plasma. For electrostatic plane-wave propagation, we show through a…

Statistical Mechanics · Physics 2009-11-11 R. Silva , J. S. Alcaniz , J. A. S. Lima

The aim of this work is to describe the thermodynamic properties of an electron gas in graphene placed in a constant magnetic field. The electron gas is constituted by $N$ Bloch electrons in the long wavelength approximation. The partition…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Juan Sebastian Ardenghi , Pablo Bechthold , Estela Gonzalez , Paula Jasen , Alfredo Juan

We obtain an analytic expression for the specific heat of a system of N rigid rotators exactly in the high temperature limit, and via a pertubative approach in the low temperature limit. We then evaluate the specific heat of a diatomic gas…

Statistical Mechanics · Physics 2009-11-13 R. Chakrabarti , R. Chandrashekar , S. S. Naina Mohammed

Gibbsian statistical mechanics is extended into the domain of non-negligible {though non-specified} correlations in phase space while respecting the fundamental laws of thermodynamics. The appropriate Gibbsian probability distribution is…

Statistical Mechanics · Physics 2014-06-26 R. A. Treumann , W. Baumjohann

We introduce an investigation about M dimers through half-filled two-site Hubbard model, that is, with two electrons. We utilize the third version of nonextensive statistical mechanics as tool for cal-culating thermodynamical and magnetic…

Statistical Mechanics · Physics 2010-02-16 F. A. R. Navarro , J. F. V. Flores

In current work, we investigate the density and temperature dependence of polarization parameter; using the relativistic formalism for the electron-electron interaction within the Fermi liquid model. we calculate the spin dependent…

Statistical Mechanics · Physics 2011-03-28 H. Gholizade , D. Momeni

An unified thermodynamical framework based in the use of a generalized Massieu-Planck thermodynamic potential is proposed and a new formulation of Boltzmann-Gibbs Statistical Mechanics is established. Under this philosophy a generalization…

Mathematical Physics · Physics 2007-05-23 V. Garcia-Morales , J. Pellicer

We develop a unified framework connecting quantum Tsallis statistics to electronic transport in strongly interacting systems. Starting from R\'enyi and Tsallis entropies, we construct a quantum Tsallis distribution that reduces to the…

Strongly Correlated Electrons · Physics 2025-12-02 Xian-Hui Ge

The simulation of non-equilibrium electron distributions is essential for capturing light-metal interactions and therefore the study of photoabsorption, photocatalysis, laser ablation, and many other phenomena. Current methodologies, such…

Materials Science · Physics 2025-03-13 M. Uehlein , H. T. Snowden , C. Seibel , T. Held , S. T. Weber , R. J. Maurer , B. Rethfeld