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The nonextensive statistical ensembles are revisited for the complex systems with long-range interactions and long-range correlations. An approximation, the value of nonextensive parameter (1-q) is assumed to be very tiny, is adopted for…

统计力学 · 物理学 2020-02-26 Yahui Zheng , Jiulin Du , Linxia Liu , Huijun Kong

We have applied the non-extensive statistical mechanics to free electrons in several metals to calculate the electronic specific heat at low temperature. In this case, the Fermi-Dirac (FD) function is modified from its Boltzmann-Gibbs (BG)…

统计力学 · 物理学 2019-04-09 Arvind Khuntia , Gayatri Sahu , Raghunath Sahoo , Durga P. Mahapatra , Niranjan Barik

This work investigates a quantum system described by a Hamiltonian operator in a two dimensional noncommutative space. The system consists of an electron subjected to a perpendicular magnetic field $\mathbf{B}$, coupled to a harmonic…

量子物理 · 物理学 2025-11-27 Bienvenu Gnim Adewi , Isiaka Aremua

Based on the Tsallis entropy, the nonextensive thermodynamic properties are studied as a q-deformation of classical statistical results using only probabilistic methods and straightforward calculations. It is shown that the constant in the…

统计力学 · 物理学 2007-05-23 Franck Jedrzejewski

We derive the nonextensive thermodynamics of an ideal quantum gas composed by bosons and/or fermions with finite chemical potentials. We find agreement with previous works when $\mu \le m$, and some inconsistencies are corrected for…

高能物理 - 唯象学 · 物理学 2015-06-22 Eugenio Megias , Debora P. Menezes , Airton Deppman

The non extensive thermodynamics of an ideal gas composed by bosons and/or fermions is derived from its partition function for systems with finite chemical potentials. It is shown that the thermodynamical quantities derived in the present…

高能物理 - 唯象学 · 物理学 2014-11-19 Eugenio Megias , Debora P. Menezes , Airton Deppman

To analyze nonidealities inherent to degenerate plasma, a quantum collective approach is developed. Thermodynamic functions of a system of partially degenerate electrons and strongly coupled ions are derived from first principles. The model…

等离子体物理 · 物理学 2007-05-23 Abdelhamid Khalfaoui , Djamila Bennaceur-Doumaz

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…

统计力学 · 物理学 2014-11-21 J. M. Conroy , H. G. Miller , A. R. Plastino

Quark matter is being expected to be found in heavy ion collisions on the basis of calculations in the framework of traditional, extensive thermodynamics. Recently a non-extensive generalization of the thermodynamics is emerging in the…

核理论 · 物理学 2007-05-23 T. S. Biro

A generalized Mott relation of metal melting entropy is derived by means of non-extensive solid and liquid quantum entropy that we calculate from grand partition functions of localized ordered quantum solid and of disordered quantum…

统计力学 · 物理学 2014-10-07 P. Quarati , A. M. Scarfone

This work deals with the physical system governed by a Hamiltonian operator, in two-dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential in the context of…

统计力学 · 物理学 2025-04-30 Bienvenu Gnim Adewi , Isiaka Aremua , Laure Gouba

With the help of a general expression of the entropies in extensive and nonextensive systems, some important relations between thermodynamics and statistical mechanics are revealed through the views of thermodynamics and statistic physics.…

统计力学 · 物理学 2009-11-13 Zhifu Huang , Congjie Ou , A. Le Mehaute , Qiuping A. Wang , Jincan Chen

We examine the non-extensive approach to the statistical mechanics of Hamiltonian systems with $H=T+V$ where $T$ is the classical kinetic energy. Our analysis starts from the basics of the formalism by applying the standard variational…

统计力学 · 物理学 2015-05-28 J. F. Lutsko , J. P. Boon

This paper systematically investigates the thermodynamic properties of classical oscillators under different statistical distributions, focusing on the behavior of uniform distribution, two-level distribution, gamma distribution, log-normal…

统计力学 · 物理学 2025-03-11 Huilin Wang

In this work, we present a detailed thermodynamic analysis of a bound quantum system: the Morse oscillator within the framework of Tsallis nonextensive statistics. Using the property of the bound spectrum (upper bound) of the Morse…

统计力学 · 物理学 2025-11-04 Arpita Goswami

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations.…

统计力学 · 物理学 2020-03-19 V. V. Ryazanov

We study the diffusion and thermal conductivity of charged particles in the weakly ionized plasma with the power-law q-distributions in nonextensive statistics and without the magnetic field. Electrons and ions have different q-parameters…

等离子体物理 · 物理学 2019-03-19 Xiaoxue Ji , Jiulin Du

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the…

统计力学 · 物理学 2021-05-13 David C. Johnston

The intrinsic fluctuations, memory effects and long-range color interactions in high energy nuclear collisions imply the presence of non-Markovian processes in the fireball evolution, which affects the thermalization process towards…

高能物理 - 唯象学 · 物理学 2025-11-21 Zhi-Ying Qin , Jia-Hao Shi , Jin-Peng Zhang , Jian Cao , Bo Feng , Wen-Chao Zhang , Hua Zheng , Shi-Jun Mao

The thermodynamics and covariant kinetic theory have been elaborately investigated in a non-extensive environment considering the non-extensive generalization of Bose-Einstein (BE) and Fermi-Dirac (FD) statistics. Starting with Tsallis'…

核理论 · 物理学 2018-02-08 Sukanya Mitra
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