Geodesic
Dynamics of a heavy particle surrounded by a finite number of light particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 110-116 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a dynamic system consisting of a heavy particle of mass $M$ and surrounding light particles moving independently with elastic reflections in the segment $[0,1]$. At a given total energy value independent of $M$, we find the dynamics of the heavy particle with respect to the slow time $t/\sqrt M$. 
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     author = {Ya. G. Sinai},
     title = {Dynamics of a heavy particle surrounded by a finite number of light particles},
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Ya. G. Sinai. Dynamics of a heavy particle surrounded by a finite number of light particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 110-116. http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a6/

[1] E. Lieb, Physica A, 263 (1999), 491–499 | DOI | MR