1966•Journal of Mathematical PhysicsRequires access

The Generalization of Choh-Uhlenbeck's Method in the Kinetic Theory of Dense Gases

Leopoldo S. Garcı́a-Colı́n, Asdrúbal Flores

Open publisher page 16 citations

Abstract

The method proposed by Choh and Uhlenbeck to deal with kinetic phenomena in dense gases is generalized to all orders in the density. The set of integral equations for the functions defining the transport coefficients is derived. It is shown that the thermal conductivity and the shear viscosity are independent of the way in which the local temperature is introduced, namely, through the kinetic energy and through the total energy density. However, the bulk viscosity does depend on the particular definition of temperature. The relationship between the corresponding bulk viscosities is explicitly obtained.

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What this paper is about

The method proposed by Choh and Uhlenbeck to deal with kinetic phenomena in dense gases is generalized to all orders in the density. The set of integral equations for the functions defining the transport coefficients is derived. It is shown that the thermal conductivity and the shear viscosity are independent of the way in which the local temperature is introduced, namely, through the kinetic energy and through the total energy density. However, the bulk viscosity does depend on the particular definition of temperature. The relationship between the corresponding bulk viscosities is explicitly obtained.

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Available abstract

The method proposed by Choh and Uhlenbeck to deal with kinetic phenomena in dense gases is generalized to all orders in the density. The set of integral equations for the functions defining the transport coefficients is derived. It is shown that the thermal conductivity and the shear viscosity are independent of the way in which the local temperature is introduced, namely, through the kinetic energy and through the total energy density. However, the bulk viscosity does depend on the particular definition of temperature. The relationship between the corresponding bulk viscosities is explicitly obtained.

Key concepts: Kinetic energy, Kinetic theory, Viscosity, Thermal conductivity, Generalization, Thermodynamics, Shear viscosity, Statistical physics

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