Geodesic
Possibility of high-temperature phase transitions due to the many-particle nature of the potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 163-169 
R. L. Dobrushin; M. R. Martirosyan. Possibility of high-temperature phase transitions due to the many-particle nature of the potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 75 (1988) no. 2, pp. 163-169. http://geodesic.mathdoc.fr/item/TMF_1988_75_2_a0/
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     title = {Possibility of high-temperature phase transitions due to the many-particle nature of the potential},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Small nonfinite perturbations of a Gibbs random field are considered. It is shown that if certain natural conditions on the rate of decrease of the perturbing potential at arbitrarily high temperatures are violated then the free energy may cease to be analytic.

[1] Dobrushin R. L., Funkts. analiz i ego prilozh., 2:4 (1968), 44–57 | MR | Zbl

[2] Malyshev V. A., Minlos R. A., Gibbsovskie sluchainye polya. Metod klasternykh razlozhenii, Nauka, M., 1985 | MR

[3] Malyshev V. A., Mat. zametki, 34:3 (1983), 443–452 | MR | Zbl

[4] Dobrushin R. L., Mat. sb., 94 (136):1 (1974), 16–48 | MR | Zbl

[5] Dobrushin R. L., Martirosyan M. R., TMF, 74:1 (1988), 16–28 | MR | Zbl

[6] Dobrushin R. L., Shlosman S. B., Vpolne analiticheskie gibbsovskie polya, Preprint, IPPI AN SSSR, M., 1986; Dobrushin R. L., Shlosman S. B., J. Stat. Phys., 46:5/6 (1987), 983–1014 | DOI | MR | Zbl