Geodesic
Weakening of correlations in one-dimensional spin systems with long-range interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 94-100 
A. Naimzhanov. Weakening of correlations in one-dimensional spin systems with long-range interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 1, pp. 94-100. http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that in a one-dimensional ferromagnet with long-range potential that decreases as $r^{-\alpha}$, $1<\alpha$, the binary correlation function decreases asymptotically at high temperatures in the same manner as the interaction potential. A theorem of Griffiths, which gives bounds for the higher correlation functions, is also generalized.

[1] G. Galovotti, S. Miracle-Sole, Commun. Math. Phys., 5 (1967), 317 | DOI | MR

[2] R. B. Griffiths, Commun. Math. Phys., 6 (1967), 121 | DOI | MR

[3] R. B. Griffiths, J. Math. Phys., 8 (1967), 478 | DOI

[4] D. G. Kelly, S. Sherman, J. Math. Phys., 9 (1968), 466 | DOI

[5] D. Iagollnitzer, B. Souillard, Preprint Ref. T. H. 2284, CERN, 1977