Divergence in the Density Expansion of the Transport Coefficients of a Two-Dimensional Gas
- 1 September 1966
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 9 (9) , 1685-1696
- https://doi.org/10.1063/1.1761922
Abstract
An analysis is presented of the first density correction to the viscosity and thermal conductivity coefficient of a two‐dimensional gas of rigid disks. The existence of a divergence in the density expansion is established explicitly. For a two‐dimensional gas the triple collision contribution to the transport coefficients diverges logarithmically with the time between collisions. In particular, for rigid disks the coefficient of the logarithmic singularity in the viscosity and thermal conductivity is evaluated in the first Enskog approximation. The possibility that as a consequence the transport coefficients depend logarithmically on the density is discussed.Keywords
This publication has 17 references indexed in Scilit:
- Triple Collision Contribution to the Transport Coefficients of a Rigid Sphere GasPhysics of Fluids, 1966
- Divergent Transport Coefficients and the Binary-Collision ExpansionPhysical Review B, 1966
- Nonanalyticity of Transport Coefficients and the Complete Density Expansion of Momentum Correlation FunctionsPhysical Review B, 1965
- Density Expansion of the Viscosity of a Moderately Dense GasPhysical Review Letters, 1965
- Logarithmic Term in the Density Expansion of Transport CoefficientsPhysical Review B, 1965
- Transport coefficients in dense gases I: The dilute and moderately dense gasPhysica, 1965
- Collisions of Three Hard SpheresPhysical Review Letters, 1964
- Basis of the Functional Assumption in the Theory of the Boltzmann EquationPhysical Review B, 1963
- On the generalization of the boltzmann equation to general order in the densityPhysica, 1962
- The non-equilibrium pair distribution function at low densitiesPhysica, 1958