论文信息 - The Statistical Mechanical Theory of Transport Processes. III. The Coefficients of Shear and Bulk Viscosity of Liquids

The Statistical Mechanical Theory of Transport Processes. III. The Coefficients of Shear and Bulk Viscosity of Liquids

A molecular theory of the coefficients of shear and bulk viscosity of monatomic liquids is developed on the basis of the general theory of transport processes presented in the first article of this series. With the use of the Lennard-Jones potential and a reasonable analytic approximation to the experimental radial distribution function, calculations of the coefficients of shear and bulk viscosity of liquid argon at 89°K have been carried out. The theory leads explicitly to ratios of the coefficients to the friction constant of the theory of Brownian motion. With a preliminary estimate of the friction constant, a value of the shear viscosity of liquid argon in moderately good agreement with experiment is obtained.

[1] G. S. Rushbrooke. XV.—A Theoretical Atomic Distribution Curve for Liquid Argon at 90° K , 1940 .

[2] J. Kirkwood. The Statistical Mechanical Theory of Transport Processes I. General Theory , 1946 .

[3] J. Kirkwood. Statistical Mechanics of Fluid Mixtures , 1935 .

[4] N. S. Gingrich,et al. The Diffraction of X-Rays by Argon in the Liquid, Vapor, and Critical Regions , 1942 .

[5] S. Chandrasekhar. Stochastic problems in Physics and Astronomy , 1943 .

[6] J. Corner. Zero-point energy and lattice distances , 1939 .

[7] J. Kirkwood,et al. The Radial Distribution Function in Liquids , 1942 .

[8] H. S. Green,et al. A general kinetic theory of liquids. II. Equilibrium properties , 1947, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9] J. Galt. Sound Absorption and Velocity in Liquefied Argon, Oxygen, Nitrogen, and Hydrogen , 1948 .