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Sutherland formula for a square-well fluid.

¹Institute of Theoretical Physics, Warsaw University, 00-681 Warsaw, Hoza 69, Poland. abednorz@fuw.edu.pl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 21, 2006

Summary

We present a new kinetic equation for smooth interactions, analogous to the Enskog equation for hard spheres. This formula provides Green-Kubo expressions for transport coefficients, including bulk viscosity, with high-temperature corrections.

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Area of Science:

Statistical Mechanics
Kinetic Theory

Background:

Existing kinetic equations often rely on approximations for interactions.
The Enskog equation is a well-established model for hard-sphere systems.

Purpose of the Study:

To develop a closed, Onsager-symmetric set of linear kinetic equations for smooth interactions.
To provide a theoretical framework for calculating transport coefficients in systems with finite-range potentials.

Main Methods:

Introduction of a novel kinetic equation equivalent to the Enskog equation.
Derivation of Green-Kubo expressions for transport coefficients.
Inclusion of high-temperature corrections using the Sutherland formula.

Main Results:

A closed set of linear kinetic equations for smooth interactions is established.
Expressions for thermal conductivity, shear viscosity, and bulk viscosity are derived.
The square-well potential case is discussed, incorporating finite potential corrections.

Conclusions:

The new kinetic equation offers a more comprehensive approach for systems with smooth interactions.
The derived Green-Kubo expressions and corrections are valuable for predicting transport properties.
This work extends the applicability of kinetic theory to a wider range of interaction potentials.

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