Abstract
We consider a one-dimensional system of particles on the half line ℝ=[0, ∞] interacting through elastic collisions among themselves and with a “wall” at the origin. On the first particle a constant forceE is acting, no external forces act on the other particles. All particles are identical except the first one which has a larger mass. We prove that ifE is such that the Gibbs equilibrium state exists, the corresponding equilibrium dynamical system is a Bernoulli flow.
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Boldrighini, C., Pellegrinotti, A., Presutti, E., Sinai, Ya.G., Soloveichik, M.R.: Ergodic properties of a one-dimensional system of classical statistical mechanics. Commun. Math. Phys.101, 363 (1985)
Boldrighini, C., de Masi, A., Nogeira, A., Presutti, E.: The Dynamics of a particle interacting with a semi-infinite ideal gas is a Bernoulli flow. In: Statistical physics and dynamical systems: rigorous results. Fritz, J., Jaffe, A., Szàsz, D. (eds.). Progress in Physics, Vol. 10. Boston, Basel, Stuttgart: Birkhäuser 1985
Presutti, E., Sinai, Ya.G., Soloveichik, M.R.: Hyperbolicity and Møller morphism for a model of classical statistical mechanics. In: Statistical physics and dynamical systems: rigorous results. Fritz, J., Jaffe, A., Szàsz, D. (eds.). Progress in Physics, Vol. 10. Boston, Basel, Stuttgart: Birkhäuser 1985
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Communicated by Ya. G. Sinai
On leave from Dipartimento di Matematica e Fisica, Università di Camerino, Camerino, Italy. Partially supported by NSF Grant DMR-81-14726
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Boldrighini, C. Bernoulli property for a one-dimensional system with localized interaction. Commun.Math. Phys. 103, 499–514 (1986). https://doi.org/10.1007/BF01211763
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DOI: https://doi.org/10.1007/BF01211763