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In order to improve the teaching of the course of statistical physics in universities, in this article we introduce nonextensive statistics, a new statistical theory about complex systems. We study the two modification coefficients a and b…

综合物理 · 物理学 2018-09-12 Lining Zheng , Jiulin Du

In this paper, we characterize a class of solutions to the unsteady 2-dimensional flow of a van der Waals fluid involving shock waves, and derive an asymptotic amplitude equation exhibiting quadratic and cubic nonlinearities including…

数学物理 · 物理学 2017-10-11 Neelam Gupta , V. D. Sharma

We show that ideal Bose-Einstein condensation (BEC) in $d = 3$ dimensions is a non-classical critical second order phase transition with exponents $\alpha = -1$, $\beta = 1$, $\gamma = 1$, $\delta = 2$, $\eta = 1$ and $\nu = 1$, obeying all…

量子气体 · 物理学 2020-01-29 I. Reyes-Ayala , F. J. Poveda-Cuevas , V. Romero-Rochin

We study $P-V$ critical behavior of 4-dimensional AdS black hole in the Einstein-Maxwell gravity with conformal anomaly by treating the cosmological constant as a variable related to the thermodynamic pressure. It shows that there is no…

高能物理 - 理论 · 物理学 2014-12-04 Ming Zhang , Rui-Hong Yue , Zhan-Ying Yang

The equation of state with quantum statistics corrections is used for particle number fluctuations $\omega$ of isotopically symmetric nuclear matter with interparticle van der Waals and Skyrme local density interactions. The fluctuations,…

核理论 · 物理学 2023-03-01 A. G. Magner , S. N. Fedotkin , U. V. Grygoriev

In this paper, we modify the VDW equation of state by adding a temperature factor to it. As a result, we give out a good phase diagram and the correlation of the reduced pressure and the reduced temperature when a balanced liquid-gas…

统计力学 · 物理学 2007-05-23 Jianxiang Tian , Yuanxing Gui

We study thermo-mechanical properties of matter at extreme conditions deep in the supercritical state, at temperatures exceeding the critical one up to four orders of magnitude. We calculate the Gr\"{u}neisen parameter {\gamma} and find…

软凝聚态物质 · 物理学 2017-07-10 L. Wang , M. T. Dove , K. Trachenko , Yu. D. Fomin , V. V. Brazhkin

A FRWL cosmological model with perfect fluid comprising of van der Waals gas and dust has been studied in the context of dynamical analysis of a three-component autonomous non-linear dynamical system for the particle number density $n$, the…

广义相对论与量子宇宙学 · 物理学 2019-02-12 Rossen I. Ivanov , Emil M. Prodanov

We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in $\H{m}$, for $m$ large enough. To do so, we introduce a specific symmetrisation allowing areas of…

偏微分方程分析 · 数学 2010-04-08 Magali Mercier

The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations. The gas and liquid densities in the coexisting state are determined with high accuracy. The critical point…

统计力学 · 物理学 2013-11-28 Hiroshi Watanabe , Nobuyasu Ito , Chin-Kun Hu

The parametric cubic van der Waals polynomial $p V^3 - (R T + b p) V^2 + a V - a b$ is analysed mathematically and some new generic features (theoretically, for any substance) are revealed - if the pressure is not allowed to take negative…

统计力学 · 物理学 2024-09-04 Emil M. Prodanov

The Van der Waals-like phase transition is observed in temperature-thermal entropy plane in spherically symmetric charged Gauss-Bonnet-AdS black hole background. In terms of AdS/CFT, the non-local observables such as holographic…

高能物理 - 理论 · 物理学 2017-02-01 Song He , Li-Fang Li , Xiao-Xiong Zeng

Despite its importance in geological sciences, our understanding of interactions between gas and condensed phases (comprising solids and liquids) remains clouded by the fact that, often, only indirect evidence remains for their occurrence.…

地球与行星天体物理 · 物理学 2019-02-14 Paolo A. Sossi , Bruce Fegley

By means of Cornwall-Jackiw-Tomboulis effective action approach we investigate a homogeneous dilute weakly interacting Bose gas at finite temperature in vicinity of critical region. A longstanding debate, the shift of critical temperature,…

量子气体 · 物理学 2024-04-02 Nguyen Van Thu , Pham Duy Thanh

The Gr\"uneisen ratio ($\Gamma$), i.e.\,the ratio of the linear thermal expansivity to the specific heat at constant pressure, quantifies the degree of anharmonicity of the potential governing the physical properties of a system. While…

There has been many studies on gases which obeys Van der Waal's equation of state. However there is no specific and direct studies of Van der Waal's gas which undergoes adiabatic processes are available in the undergraduate text books and…

统计力学 · 物理学 2018-02-06 Kiran S. Kumar , Aravind P. Babu , M. Ponmurugan

A one dimensional stochastic exclusion process with two species of particles, $+$ and $-$, is studied where density of each species can fluctuate but the total particle density is conserved. From the exact stationary state weights we show…

统计力学 · 物理学 2017-01-10 Urna Basu

This paper is devoted to analyzing the critical phenomenon and phase transition of quintessential Kerr-Newman-anti-de Sitter black hole in the framework of Maxwell equal-area law. For this purpose, we first derive thermodynamic quantities…

广义相对论与量子宇宙学 · 物理学 2020-10-08 M. Sharif , Qanitah Ama-Tul-Mughani

The steady-state phase diagram of the one-dimensional reaction-diffusion model 2A -> 3A, 2A -> 0 is studied through the non-hermitian density matrix renormalization group. In the absence of single-particle diffusion the model reduces to the…

统计力学 · 物理学 2009-10-31 Enrico Carlon , Malte Henkel , Ulrich Schollwoeck

The model of dipole fluid for the ionic liquids similar to the molten NaCl is proposed. The estimates for the critical parameters are obtained with the help of the van der Waals equation of state. The influence of the rotation on the…

软凝聚态物质 · 物理学 2009-11-07 V. L. Kulinskii , N. P. Malomuzh