Geodesic
Conditions for the absence of phase transitions in one-dimensional classical systems
Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 28-48

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We consider a wide class of one-dimensional systems in classical statistical physics which includes both continuous and lattice models. We prove a result concerning the uniqueness of the Gibbs state which generalizes earlier known results. As a consequence of this result we prove the differentiability of the free energy and the uniformly strong mixing property of Gibbs random processes. Bibliography: 20 titles. 
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     author = {R. L. Dobrushin},
     title = {Conditions for the absence of phase transitions in one-dimensional classical systems},
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R. L. Dobrushin. Conditions for the absence of phase transitions in one-dimensional classical systems. Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 28-48. http://geodesic.mathdoc.fr/item/SM_1974_22_1_a2/