Abstract
The existence of the ferromagnetic long-range order (lro) is proved for Gibbs classical lattice systems of linear oscillators interacting via a strong polynomial pair nearest neighbor (n-n) ferromagnetic potential and other (nonpair) potentials that are weak if they are not ferromagnetic. A generalized Peierls argument and two different contour bounds are our main tools.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 3, pp. 388–405, March, 2006.
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Skrypnik, W.I. Long-range order in Gibbs lattice classical linear oscillator systems. Ukr Math J 58, 438–457 (2006). https://doi.org/10.1007/s11253-006-0077-6
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DOI: https://doi.org/10.1007/s11253-006-0077-6