Long-range order in Gibbs lattice classical linear oscillator systems

  • W. I. Skrypnik


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.
How to Cite
Skrypnik, W. I. “Long-Range Order in Gibbs Lattice Classical Linear Oscillator Systems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 3, Mar. 2006, pp. 388–405, https://umj.imath.kiev.ua/index.php/umj/article/view/3462.
Research articles