Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier
László Erdös
Tuyen, Dao Quang
We consider a multidimensional system consisting of a particle of mass M and radius r (molecule), surrounded by an infinite ideal gas of point particles of mass m (atoms). The molecule is confined to the unit ball and interacts with its boundary (barrier) via elastic collision, while the atoms are not affected by the boundary. We obtain convergence to equilibrium for the molecule from almost every initial distribution on its position and velocity. Furthermore, we prove that the infinite composite system of the molecule and the atoms is Bernoulli.
Springer
1990
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https://research-explorer.app.ist.ac.at/record/2721
Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. <i>Journal of Statistical Physics</i>. 1990;59(5-6):1589-1602. doi:<a href="https://doi.org/10.1007/BF01334766">10.1007/BF01334766</a>
info:eu-repo/semantics/altIdentifier/doi/10.1007/BF01334766
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