Abstract
Long-range order is proved to exist for lattice linear oscillator systems with ferromagnetic potential energy containing a term with strong nearest-neighbor (n-n) quadratic pair potential. A contour bound and a generalized Peierls argument are used in the proof.
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V. Skrypnik, “Long-range order in nonequilibrium systems of interacting brownian linear oscillators,” J. Statist. Phys., 111, No. 1/2 (2003).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 6, pp. 810–817, June, 2004.
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Skrypnik, V.I. Long-range order in linear ferromagnetic oscillator systems. Strong pair quadratic n-n potential. Ukr Math J 56, 964–972 (2004). https://doi.org/10.1007/PL00022185
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DOI: https://doi.org/10.1007/PL00022185