Long-range order in Gibbs lattice classical linear oscillator systems
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.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 3, pp 438-457.
Citation Example: Skrypnik W. I. Long-range order in Gibbs lattice classical linear oscillator systems // Ukr. Mat. Zh. - 2006. - 58, № 3. - pp. 388–405.