Abstract
We consider the dynamical system (\(\mathfrak{X}\),μ,T t ) where (\(\mathfrak{X}\),μ) is the Gibbs ensemble at some fixed temperature and density for a semi-infinite one-dimensional ideal gas of point particles. The first particle has massM, all the other particles massm<M. T t is the time evolution which describes free motion of the particles except for elastic collisions with each other and with the wall at the origin. We prove that (\(\mathfrak{X}\),μ,T t ) is aK-flow.
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Communicated by J. L. Lebowitz
on leave of absence from Università di Camerino, Italy
Partially supported by NSF Grant DMR-81-14726
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Boldrighini, C., Pellegrinotti, A., Presutti, E. et al. Ergodic properties of a semi-infinite one-dimensional system of statistical mechanics. Commun.Math. Phys. 101, 363–382 (1985). https://doi.org/10.1007/BF01216095
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DOI: https://doi.org/10.1007/BF01216095