Comment on symmetry properties of the linear Enskog kinetic operators

The one-particle average consistent with the structure of the revised Enskog theory is introduced. Symmetry properties of the linear kinetic operators reflecting those of theN-particle pseudo-Liouville operators are derived, implying a recently proved symmetry of kinetic expressions for equilibrium time correlation functions.     

The inverse conjecture for the revised Enskog equation

It is shown that the pair correlation function (which is by definition the high-density factor in the revised Enskog theory) is not always a well-defined functional of the local density. Moreover, for a finite system with periodic boundary conditions and in the space homogeneous case, this function, computed at the contact value, is bounded at the maximum allowed density (i.e., a densityn _max such that, in one dimension, 1/a–1/Ln _max<1/a; equality sign, which corresponds to the usual close-packing density for whichL/a is an integer, being included as a particular case). At least for the one-dimensional gas model this finite value is shown to approach infinity in the thermodynamic and in the hydrodynamic limits. A new form for the revised Enskog equation, which does not depend on the inverse conjecture, is finally given.     

Numerical analysis of a shock-wave solution of the Enskog equation obtained via a Monte Carlo method

In this paper a planar stationary shock-wave-like solution of the Enskog equation obtained via a Monte Carlo technique is studied; both the algorithm used to obtain the solution and the qualitative behavior of the macroscopic quantities are discussed in comparison with the corresponding solution of the Boltzmann equation.     

On the kinetic theory of a dense gas of rough spheres

The revised Enskog equation for a dense gas of rough spheres is considered. TheH theorem and the conservation equations are discussed.     

Free Transport Limit for <Emphasis Type="Italic">N</Emphasis>-particles Dynamics with Singular and Short Range Potential

We study the limit of systems of interacting particles, when the number of particle becomes very large. The support of the interaction vanishes as the number of particles goes to infinity, so that the natural limit is just free transport, but no limitation is assumed about the strength of the interaction. We obtain explicit estimates for the number of particles effectively interacting and describe the way they do it.     

A Weak Formulation of the Boltzmann Equation Based on the Fourier Transform

In this article we present an alternative formulation of the spatially homogeneous Boltzmann equation. Rewriting the weak form of the equation with shifted test functions and using Fourier techniques, it turns out that the transformed problem contains only a three-fold integral. Explicit formulas for the transformed collision kernel are presented in the case of VHS models for hard and soft potentials. For isotropic Maxwellian molecules, a classical result by Bobylev is recovered, too.     

Anomaly Non-Renormalization,Lattice QFT,and Universality of Transport Coefficients

Recently new methods have been introduced to investigate the non-renormalization properties of the anomalies at a non perturbative level and in presence of a lattice. The issue is relevant in a number of problems ranging from the anomaly-free construction of chiral lattice gauge theory with large cut-off to the universality properties observed in transport coefficients in condensed matter systems. A review of main results and future perspectives is presented.     

Mode-coupling effects in the density dependence of the shear viscosities of dense argon and methane

We argue that the density dependence of the shear viscosities of dense argon at 174, 223, and 301 K and of dense methane at 298 K can be understood on the basis of the mode coupling theory for hard spheres, in particular near the fluid-solid phase transition.     

Transport Coefficients in Dense Plasmas Including Ion‐Ion Structure Factor

Within linear response theory, a general approach to the thermoelectric transport coefficients for fully ionized hydrogen‐type plasma has been given. Different approximations for the collision integral are considered. Particular attention is given to dynamical screening and the ion‐ion structure factor. Results are presented for the electrical conductivity, the thermal conductivity, and the thermopower in the non‐degenerate limit (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Global existence in L1 for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation

For the Enskog equation in a box an existence theorem is proved for initial data with finite mass, energy, and entropy. Then, by letting the diameter of the molecules go to zero, the weak convergence of solutions of the Enskog equation to solutions of the Boltzmann equation is proved.     

On the connection of Joule-Thompson's coefficient with dissipation properties of filtrating media

In the paper is shown that the Joule-Thompson's coefficient may be connected with dissipation properties of filtrating liquid or gas. The calculations are based on the classical Boltzmann's kinetic equation. The connection between Joule-Thompson's coefficient and the viscosity of liquid is found. Received 5 February 2002 and Received in final form 7 February 2003 Published online: 16 April 2003 RID="a" ID="a"e-mail: sglad@newmail.ru     

超越阿贝尔优势近似和色等离子体的输运系数计算

给出了一种超越阿贝尔优势近似求解夸克胶子等离子体输运方程的方法，并用它计算了夸克、反夸克等离子体的输运系数，讨论了输运系数的非阿贝尔修正．     

A convergent nonequilibrium statistical mechanical theory for dense gases. III. Transport coefficients to second order in the density

The purpose of this paper is to obtain general expressions for the second-order terms of the transport coefficients of a dense gas. These expressions are obtained using the convergent kinetic theory proposed recently by Braun and Flores.     

Light scattering in monatomic dense gases from a kinetic model of the Enskog equation

The light scattering spectra of dense monatomic gases are determined from a kinetic model of the Enskog equation in which the reference distribution function is a function of the gradients of velocity and temperature. A good agreement between the theoretical and experimental light scattering spectra is found for values of the pressure going from 0.022 to 10 atm, which correspond to the free molecular and hydrodynamic regimes, respectively.     

On the calculation of equilibrium time correlation functions in hard-sphere fluids

We discuss in detail techniques that have been used to determine single-particle equilibrium time correlation functions in a hard-sphere fluid on the basis of kinetic theory. The accuracy of various procedures is assessed.On leave from Interuniversitair Reactor Instituut, Delft, The Netherlands.     

Kinetic theory of hard spheres

Kinetic equations for the hard-sphere system are derived by diagrammatic techniques. A linear equation is obtained for the one-particle-one particle equilibrium time correlation function and a nonlinear equation for the one-particle distribution function in nonequilibrium. Both equations are nonlocal, noninstantaneous, and extremely complicated. They are valid for general density, since statistical correlations are taken into account systematically. This method derives several known and new results from a unified point of view. Simple approximations lead to the Boltzmann equation for low densities and to a modified form of the Enskog equation for higher densities.     

The Limiting Kinetic Equation of the Consistent Boltzmann Algorithm for Dense Gases

This paper establishes a theoretical foundation for the Consistent Boltzmann Algorithm (CBA) by deriving the limiting kinetic equation. The formulation is similar to the proof by one of the authors that the Boltzmann equation is the limiting kinetic equation for Direct Simulation Monte Carlo [W. Wagner, J. Statist. Phys. 66:1011 (1992)]. For a simplified model distilled from CBA, the limiting equation is solved numerically, and very good agreement with the predictions of the theory is found.     

分子力对气体输运系数的影响

在气体输运过程中,把气体分子看作有引力的弹性球,研究了分子力对气体输运系数的影响,对普通物理中的气体动理论给出的输运系数与气体温度的关系进行了修正,使之更接近于实验结果.     

An Inverse Problem of Determining Coefficients in a One-Dimensional Radiative Transport Equation

We consider an inverse problem of determining unknown coefficients for a one-dimensional analogue of radiative transport equation. We show that some combination of the unknown coefficients can be uniquely determined by giving pulse-like inputs at the boundary and observing the corresponding outputs. Our result can be applied for determination of absorption and scattering properties of an optically turbid medium if the radiative transport equation is appropriate for describing the propagation of light in the medium.