Geodesic
On a one-dimensional spin system
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 60-69 
S. A. Molchanov; T. L. Nguyen. On a one-dimensional spin system. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 1, pp. 60-69. http://geodesic.mathdoc.fr/item/TMF_1975_25_1_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The well-known results by M. Kac, P. L. Hemmer and G. Uhlenbeck concerning the one-dimensional classical gas with small exponential interaction are extended to the case of one-dimensional continuous spin system. After a specific limiting procedure a certain three-phase system appears and its equation of state is studied.

[1] M. Kac, Phys. Fluids, 2 (1959), 8 | DOI | MR | Zbl

[2] M. Kats, Veroyatnost i smezhnye voprosy v fizike, «Mir», 1965 | Zbl

[3] M. Kac, G. E. Uhlenbeck, P. C. Hemmer, J. Math. Phys., 4 (1963), 216 ; 229 ; 5 (1964), 60 | DOI | MR | Zbl | MR | Zbl | DOI | Zbl

[4] K. Khuang, Statisticheskaya mekhanika, «Mir», 1966