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The methods of statistical dynamics are applied to a fluid with 5 conserved fields (the mass, the energy, and the three components of momentum) moving in a given external potential. When the potential is zero, we recover a previously…

数学物理 · 物理学 2009-11-07 M. R. Grasselli , R. F. Streater

A generalized physics-based expression for the drag coefficient of spherical particles moving in a fluid is derived. The proposed correlation incorporates essential rarefied physics, low-speed hydrodynamics, and shock-wave physics to…

A new dynamical solution for a gas sphere under self-gravity is presented to describe a development of a gas sphere from a motion-less state to a state of expansion with a constant speed and a reflection phenomenon in the dynamics of the…

天体物理学 · 物理学 2009-11-10 Souichi Murata , Kazuhiro Nozaki

We derive the pressure tensor and the heat flux to accompany the new macroscopic conservation equations that we developed previously in a volume-based kinetic framework for gas flows. This kinetic description allows for expansion or…

流体动力学 · 物理学 2007-05-23 S. Kokou Dadzie , Jason M. Reese

Pressure is the mechanical force per unit area that a confined system exerts on its container. In thermal equilibrium, it depends only on bulk properties (density, temperature, etc.) through an equation of state. Here we show that in a wide…

统计力学 · 物理学 2015-12-17 A. P. Solon , Y. Fily , A. Baskaran , M. E. Cates , Y. Kafri , M. Kardar , J. Tailleur

We present a method for joint state and parameter estimation for natural gas networks where gas pressures and flows through a network of pipes depend on time-varying injections, withdrawals, and compression controls. The estimation is posed…

系统与控制 · 电气工程与系统科学 2019-12-13 Kaarthik Sundar , Anatoly Zlotnik

The new generalized kinetic equation is offered. This equation represents a hybrid Shakhov's equation and ellipsoidal statistical Holway's equation. Equation constants are expressed through such physically significant quantities, as…

流体动力学 · 物理学 2014-01-21 A. V. Latyshev , A. A. Yushkanov

A modified Reynolds equation governing the steady flow of a fluid with low Reynolds number through a curvilinear, narrow tube, with its derivation from Stokes equations through asymptotic methods is presented. The channel considered may…

数学物理 · 物理学 2019-01-08 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov

A kind of fluid dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gaskinetic model. The differences between these pedestrian specific equations and those for ordinary fluids are…

统计力学 · 物理学 2007-05-23 Dirk Helbing

The phase transitions in Bose gases at constant volume and constant pressure are considered. New results for the chemical potential, the effective Landau-Ginzburg free energy and the equation of state of the Bose condensate in ideal Bose…

量子物理 · 物理学 2009-11-10 Velin G. Ivanov , Dimo I. Uzunov

The well-known fluid equation of cosmology is examined with a view to elucidating the precise conditions under which it is applicable.

综合物理 · 物理学 2008-05-22 Jeremy Dunning-Davies

A picture for thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical paradoxes concerning the Ehrenfest relations…

无序系统与神经网络 · 物理学 2009-10-31 Th. M. Nieuwenhuizen

We consider linear hyperbolic balance law that describe gas flow. Stochastic influences are introduced by series of orthogonal functions. A deterministic stabilization concept, which makes deviations at steady states decay exponentially…

最优化与控制 · 数学 2021-02-25 Stephan Gerster

An equilibrium theory of classical fluids based on the space distribution among the particles is derived in the framework of the energy minimization method. This study is motivated by current difficulties of evaluation of optical properties…

统计力学 · 物理学 2009-11-10 R. D. Rohrmann

The equation of state of nuclear matter suggests that at suitable beam energies the disassembling hot system formed in heavy ion collisions will pass through a liquid-gas coexistence region. Searching for the signatures of the phase…

核理论 · 物理学 2007-05-23 S. Das Gupta , A. Z. Mekjian , M. B. Tsang

In this paper, we examine the thermodynamic features of an exotic fluid known as modified cosmic Chaplygin gas in the context of homogeneous isotropic universe model. For this purpose, the behavior of physical parameters are discussed that…

广义相对论与量子宇宙学 · 物理学 2018-10-05 M. Sharif , Sara Ashraf

The study of Mayer's cluster expansion (CE) for the partition function demonstrates a possible way to resolve the problem of the CE non-physical behavior at condensed states of fluids. In particular, a general equation of state is derived…

统计力学 · 物理学 2018-10-03 M. V. Ushcats , S. Yu. Ushcats , L. A. Bulavin , V. M. Sysoev

The traditional fluid perturbation theory is improved by taking electronic excitations and ionizations into account, in the framework of average ion spheres. It is applied to calculate the equation of state for fluid Xenon, which turns out…

计算物理 · 物理学 2016-12-19 Qiong Li , Hai-Feng Liu , Gong-Mu Zhang , Yan-Hong Zhao , Ming-Feng Tian , Hai-Feng Song

Within the framework of Gaussian equivalent representation method a new procedure of obtaining equations of state for simple liquids is discussed in some technical details. The developed approach permits one to compute partition and…

统计力学 · 物理学 2009-12-15 Dima Bolmatov

We show that under rather general assumptions on the form of the entropy function, the energy balance equation for a system in thermodynamic equilibrium is equivalent to a set of nonlinear equations of hydrodynamic type. This set of…

可精确求解与可积系统 · 物理学 2012-10-01 Giuseppe De Nittis , Antonio Moro