Article
Kinetic theory of a confined quasi-one-dimensional gas of hard disks
Author/s | Mayo León, Manuel
Brey Abalo, José Javier García de Soria Lucena, María Isabel Maynar Blanco, Pablo |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2022 |
Deposit Date | 2022-06-24 |
Published in |
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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 ... 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 -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. |
Funding agencies | Junta de Andalucía European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | US-1380729 |
Citation | Mayo León, M., Brey Abalo, J.J., García de Soria Lucena, M.I. y Maynar Blanco, P. (2022). Kinetic theory of a confined quasi-one-dimensional gas of hard disks. Physica A: Statistical Mechanics and its Applications, 597, 127237. |
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