Abstract
For an exactly soluble classical spin model with long-range inhomogeneous coupling it is proved that in the absence of external magnetic field the free energy is aC ∞ function of the temperature at the critical point.
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References
H.-O. Georgii,Gibbs Measures and Phase Transitions (de Gruyter, 1988).
M. Miyamoto,J. Math. Kyoto Univ. 24:679 (1984).
M. Miyamoto,J. Math. Kyoto Univ. 25:59 (1985).
G. Winkler,Math. Nachr. 104:101 (1981).
Ya. G. Sinai,Theory of Phase Transitions: Rigorous Results (Pergamon Press, 1982).
L. Pontriaguine,Équations Différentielles Ordinaires (Mir, Moscow, 1969).
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Costin, O., Costin, R.D. & Grünfeld, C.P. Infinite-order phase transition in a classical spin system. J Stat Phys 59, 1531–1546 (1990). https://doi.org/10.1007/BF01334762
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DOI: https://doi.org/10.1007/BF01334762