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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 81, Number 3, Pages 323–335
(Mi tmf5376)
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Metric isomorphism of a classical ideal gas and a local perturbation of it
Yu. A. Terletskii
Abstract:
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.
Received: 26.05.1988
Citation:
Yu. A. Terletskii, “Metric isomorphism of a classical ideal gas and a local perturbation of it”, TMF, 81:3 (1989), 323–335; Theoret. and Math. Phys., 81:3 (1989), 1235–1244
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https://www.mathnet.ru/eng/tmf5376 https://www.mathnet.ru/eng/tmf/v81/i3/p323
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Abstract page: | 282 | Full-text PDF : | 86 | References: | 43 | First page: | 1 |
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