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Kinetic Theory of a Confined Quasi-Two-Dimensional Gas of Hard Spheres

Opened Access Kinetic Theory of a Confined Quasi-Two-Dimensional Gas of Hard Spheres


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Autor: Brey Abalo, José Javier
Buzón Díaz, Vicente
García de Soria Lucena, María Isabel
Maynar Blanco, Pablo
Departamento: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Fecha: 2017-02
Publicado en: Entropy, 19 (2)
Tipo de documento: Artículo
Resumen: The dynamics of a system of hard spheres enclosed between two parallel plates separated a distance smaller than two particle diameters is described at the level of kinetic theory. The interest focuses on the behavior of the quasi-two-dimensional fluid seen when looking at the system from above or below. In the first part, a collisional model for the effective two-dimensional dynamics is analyzed. Although it is able to describe quite well the homogeneous evolution observed in the experiments, it is shown that it fails to predict the existence of non-equilibrium phase transitions, and in particular, the bimodal regime exhibited by the real system. A critical revision analysis of the model is presented , and as a starting point to get a more accurate description, the Boltzmann equation for the quasi-two-dimensional gas has been derived. In the elastic case, the solutions of the equation verify an H-theorem implying a monotonic tendency to a non-uniform steady state. As an example of app...
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Cita: Brey Abalo, J.J., Buzón Díaz, V., García de Soria Lucena, M.I. y Maynar Blanco, P. (2017). Kinetic Theory of a Confined Quasi-Two-Dimensional Gas of Hard Spheres. Entropy, 19 (2)
Tamaño: 589.6Kb
Formato: PDF


DOI: 10.3390/e19020068

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