2017
Том 69
№ 6

All Issues

Long-range order in linear ferromagnetic oscillator systems. Strong pair quadratic n-n potential

Skrypnik W. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 6, pp 964-972.

Citation Example: Skrypnik W. I. Long-range order in linear ferromagnetic oscillator systems. Strong pair quadratic n-n potential // Ukr. Mat. Zh. - 2004. - 56, № 6. - pp. 810–817.

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