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

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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. 
@article{TMF_1979_38_1_a8,
     author = {A. Naimzhanov},
     title = {Weakening of correlations in one-dimensional spin systems with long-range interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {94--100},
     publisher = {mathdoc},
     volume = {38},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_1_a8/}
}
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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/