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Título: | Mesoscopic description of the adiabatic piston: kinetic equations and H -Theorem |
Autor: | Khalil, Nagi CSIC ORCID | Palabras clave: | Adiabatic piston Kinetic theory Boltzmann equation H-theorem |
Fecha de publicación: | sep-2019 | Editor: | Springer Nature | Citación: | Journal of Statistical Physics 176: 1138-1160 (2019) | Resumen: | The adiabatic piston problem is solved at the mesoscale using a kinetic theory approach. The problem is to determine the evolution towards equilibrium of two gases separated by a wall with only one degree of freedom (the adiabatic piston). A closed system of equations for the distribution functions of the gases conditioned to a position of the piston and the distribution function of the piston is derived, under the assumption of a generalized molecular chaos. It is shown that the resulting kinetic description has the canonical equilibrium as a steady-state solution. Moreover, the Boltzmann entropy, which includes the motion of the piston, verifies the H-theorem. The kinetic description is not limited to the thermodynamic limit nor to a small ratio between the masses of the particle and the piston, and collisions among particles are explicitly considered. | Versión del editor: | http://doi.org/10.1007/s10955-019-02336-x | URI: | http://hdl.handle.net/10261/204998 | DOI: | 10.1007/s10955-019-02336-x | Identificadores: | doi: 10.1007/s10955-019-02336-x issn: 0022-4715 e-issn: 1572-9613 |
Aparece en las colecciones: | (IFISC) Artículos |
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