Kinetic theory of a confined quasi-one-dimensional gas of hard disks

M. Mayo, J. Javier Brey, M.I. García de Soria and P. Maynar

Physica A: Statistical Mechanics and its Applications, 2022, vol. 597, issue C

Abstract: A dilute gas of hard disks confined between two straight parallel lines is considered. The distance between the two boundaries is between one and two particle diameters, so that the system is quasi-one-dimensional. A Boltzmann-like kinetic equation, that takes into account the limitation in the possible scattering angles, is derived. It is shown that the equation verifies an H-theorem implying a monotonic approach to equilibrium. The implications of this result are discussed, and the equilibrium properties are derived. Closed equations describing how the kinetic energy is transferred between the degrees of freedom parallel and perpendicular to the boundaries are derived for states that are homogeneous along the direction of the boundaries. The theoretical predictions agree with results obtained by means of Molecular Dynamics simulations.

Keywords: Boltzmann equation; Kinetic theory of gases and liquids; Transport properties (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:597:y:2022:i:c:s0378437122002175

DOI: 10.1016/j.physa.2022.127237

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