Transport Phenomena in Mixtures of Gases
- 15 October 1939
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 56 (8) , 818-835
- https://doi.org/10.1103/physrev.56.818
Abstract
The theory of transport in gases taking into account the full effect of quantum statistics is extended to include mixtures as well as one-component gases. The method of Lorentz, Hilbert, and Enskog, which was used previously in the development of the quantum theory of transport in a single component gas, is used again in this more general case. As is to be expected, all transport equations have formally the same dependence on velocity, temperature, and pressure gradients as in the classical statistics, the effects of diffraction and interference introduced by the quantum statistics appearing only in the coefficients themselves. Expressions for the viscosity, heat conductivity, pressure diffusion, and thermal diffusion coefficients into which assumptions with regard to the interaction laws may be introduced have been obtained. It is expected that these expressions may form the basis for calculation based on plausible assumptions as to the interaction that will provide a relatively good test of these laws as well as of the theory itself.Keywords
This publication has 8 references indexed in Scilit:
- The low-temperature properties of gaseous heliumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1938
- Viscosity of HeliumPhysical Review B, 1938
- Measurements on the viscosity of helium gas between 293 and 1.6°KPhysica, 1938
- Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. IIPhysical Review B, 1934
- Free paths and transport phenomena in gases and the quantum theory of collisions. II.—The determination of the laws of force between atoms and moleculesProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934
- Free paths and transport phenomena gases and the quantum theory of collisions. I.—The rigid sphere modelProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1933
- Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. IPhysical Review B, 1933
- The Velocity of Sound in a Fermi-Dirac or Einstein-Bose Ideal GasPhysical Review B, 1932