The Temperature Dependence of the Linear-in-Density Thermal Conductivity Coefficient Arising from the Lennard-Jones (12-6) Potential

13 June 2022, Version 1
This content is a preprint and has not undergone peer review at the time of posting.


Results of the modified Rainwater-Friend theory for the initial density dependence of the thermal conductivity arising from the Lennard-Jones (12-6) potential in the range of reduced temperature 0.5 ≤ T*≤ 100 have been correlated. Informed by theory, a collection of 41 functional temperature terms was narrowed to the eight most significant terms by structural optimization. The new formulation is the first that extrapolates correctly beyond the data range to reduced temperatures of 0.01 and 150. It contributes significantly to an improved understanding of thermal conductivities of gases at low densities and low temperatures where measurements are rare.


initial density dependence
Lennard-Jones potential
thermal conductivity
virial coefficients


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