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

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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. 
@article{TMF_1989_81_3_a0,
     author = {Yu. A. Terletskii},
     title = {Metric isomorphism of~a~classical ideal gas and a~local perturbation of~it},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--335},
     publisher = {mathdoc},
     volume = {81},
     number = {3},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_3_a0/}
}
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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/