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Steady self-diffusion in classical gases


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Author: Brey Abalo, José Javier
Ruiz Montero, María José
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Date: 2013-08
Published in: Europhysics Letters, 103 (3), 30010-p1-30010-p6.
Document type: Article
Abstract: A steady self-diffusion process in a gas of hard spheres at equilibrium is analyzed. The system exhibits a constant gradient of labeled particles. Neither the concentration of these particles nor its gradient are assumed to be small. It is shown that the Boltzmann-Enskog kinetic equation has an exact solution describing the state. The hydrodynamic transport equation for the density of labeled particles is derived, with an explicit expression for the involved self-diffusion transport coefficient. Also an approximated expression for the one-particle distribution function is obtained. The system does not exhibit any kind of rheological effects. The theoretical predictions are compared with numerical simulations using the direct simulation Monte Carlo method and a quite good agreement is found.
Cite: Brey Abalo, J.J. y Ruiz Montero, M.J. (2013). Steady self-diffusion in classical gases. Europhysics Letters, 103 (3), 30010-p1-30010-p6.
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DOI: 10.1209/0295-5075/103/30010

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