# An H-theorem for the Enskog equation of a binary mixture of dissimilar hard spheres

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- General H-Theorem for Hard Spheres. Bednorz, Adam; Cichocki, Bogdan // Journal of Statistical Physics;Jan2004, Vol. 114 Issue 1/2, p327
The maximum entropy formalism is used to investigate the growth of entropy (H-theorem) for an isolated system of hard spheres in an external potential under general boundary geometry. Assuming that only correlations of a finite number of particles are controlled and the rest maximizes entropy,...

- Enskog Kinetic Equation Modified for a Dense Soft-Sphere Gas. Kurochkin, V. I. // Technical Physics;Nov2002, Vol. 47 Issue 11, p1364
The Enskog kinetic equation is modified for dense soft-sphere gases and gas mixtures when the diameter of the particles depends on their relative velocity. Analytical expressions for the transport coefficient of a monoatomic dense gas are derived, and the viscosity coefficient is calculated...

- Asymptotic solution of the Enskog equation. Kuszell, A.; Makowski, K. // Physics of Fluids A;Apr89, Vol. 1 Issue 4, p746
An asymptotic solution of the Enskog equation is obtained by an expansion in two parameters: Îµ, estimating the deviation from equilibrium and Îµ, the Knudsen number. It is shown that different relations between these parameters imply that the different versions of approximate hydrodynamic...

- A particle scheme for the numerical solution of the Enskog equation. Frezzotti, Aldo // Physics of Fluids;May97, Vol. 9 Issue 5, p1329
Reports on the solution of the kinetic equation proposed by Enskog for a dense hard sphere by a particle simulation method. Preservation of momentum and energy; Example of the calculation of the density profile in a dense gas in equilibrium near a hard wall.

- Extension of the Mott-Smith method to denser gases. Orlov, Alexander V. // Physics of Fluids A;Aug92, Vol. 4 Issue 8, p1856
The Mott-Smith method is used to find the shock wave solution of the Enskog equation in the linear approximation in n0Ïƒ3. The density profile, shock thickness, and nonunity asymmetry factor are found. Modified Hugoniot relations are derived.

- The Enskog theory for transport coefficients of simple fluids with continuous potentials. Miyazaki, Kunimasa; Srinivas, Goundla; Bagchi, Biman // Journal of Chemical Physics;4/8/2001, Vol. 114 Issue 14
The Enskog theory for the self-diffusion coefficient for fluids with continuous potentials, such as the Lennard-Jones, is developed. Starting from the Green-Kubo formula (rather than the conventional kinetic equation) and introducing the similar assumptions upon which the Boltzmann equation is...

- Enskog theory and the Kirkwood instability. Cole, R. G.; Keyes, T. // Journal of Chemical Physics;7/15/1985, Vol. 83 Issue 2, p906
A new test is proposed for approximate kinetic theories of dense fluids: they must reproduce known results concerning the â€˜â€˜Kirkwood instabilityâ€™â€™ (KI). Since analysis of the KI based upon hierarchy truncations has been shown to yield results which depend sensitively...

- Gradâ€™s Moment Equations for Microscale Flows. Struchtrup, Henning // AIP Conference Proceedings;2003, Vol. 663 Issue 1, p792
Grad's moment equations are discussed for application to microscale flows in the transition regime. While Grad's 13 moment equations as well as Hilbert and Chapman-Enskog expansions of the Boltzmann equation cannot resolve the Knudsen boundary layer at the wall, this is different for moment...

- Models for self-diffusion in the square well fluid. Dufty, James W.; Mo, Kingtse C.; Gubbins, Keith E. // Journal of Chemical Physics;2/15/1991, Vol. 94 Issue 4, p3132
Transport properties of moderately dense fluids reflect several effects not present at the Boltzmann level: excluded volumes, finite collision times, and bound states. The description and relative importance of these effects is illustrated here by a discussion of the self-diffusion coefficient...