Geodesic
Metric isomorphism of a classical ideal gas and a local perturbation of it
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 3, pp. 323-335 
Yu. A. Terletskii. Metric isomorphism of a classical ideal gas and a local perturbation of it. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 3, pp. 323-335. http://geodesic.mathdoc.fr/item/TMF_1989_81_3_a0/
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     author = {Yu. A. Terletskii},
     title = {Metric isomorphism of~a~classical ideal gas and a~local perturbation of~it},
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     volume = {81},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_3_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the ergodic properties of the infinite-particles gas with local interaction defined in any finite number of nonintersecting bounded open convex domains $\Lambda_1, \Lambda_2,\dots,\Lambda_N$. To describe the pair interaction of particles ${\mathbf x}_i$ and ${\mathbf x}_j$ situated in some domain $\Lambda_m$ we use the spherical-symmetric potential $\Phi(|{\mathbf x}_i-{\mathbf x}_j|)$ which is repulsive when $|{\mathbf x}_i-{\mathbf x}_j|$ is small and attractive when $|{\mathbf x}_i-{\mathbf x}_j|$ is large. The main result of the paper is the theorem of the metric isomorphism of the classical ideal gas and its local perturbation.

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