Influence of nonconservative external forces on self-diffusion in dilute gases

V. Garzó, A. Santos and J.J. Brey

Physica A: Statistical Mechanics and its Applications, 1990, vol. 163, issue 2, 651-671

Abstract: The influence of a nonconservative force proportional to the velocity acting on a system described by the Boltzmann equation is analyzed. When this force is the only external action on the system, an H-theorem is proved, showing that the distribution function tends towards a Maxwellian with a time-dependent temperature. Self-diffusion in such a state is analyzed in the case of Maxwell molecules. It is shown that the external force can even prevent the system to reach a hydrodynamic stage. Next, self-diffusion in a system under uniform shear flow is considered. For Maxwell molecules, the conditions under which a hydrodynamic regime is reached are discussed. In the hydrodynamic regime, a self-diffusion tensor is obtained to first order in the concentration gradient. This tensor is a highly nonlinear function of both the shear rate and the strength of the external force. Comparison with previous work is carried out.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:163:y:1990:i:2:p:651-671

DOI: 10.1016/0378-4371(90)90150-Q

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