Igor M. Loutsenko, Vyacheslav P. Spiridonov, “A Critical Phenomenon in Solitonic Ising Chains”, SIGMA, 2007, Volume 3,059, 11 pp.

This article is cited in 4 papers

A Critical Phenomenon in Solitonic Ising Chains

Igor M. Loutsenko^a, Vyacheslav P. Spiridonov^b

^a Mathematical Institute, University of Oxford, 24-29 St. Gilles', Oxford, OX1 3LB, UK
^b Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Moscow Region, 141980 Russia

Abstract: We discuss a phase transition of the second order taking place in non-local 1D Ising chains generated by specific infinite soliton solutions of the KdV and BKP equations.

Keywords: Ising chain; solitons; phase transition.

MSC: 70H06; 82B20

Received: December 4, 2006; in final form April 17, 2007; Published online April 24, 2007

Language: English

DOI: 10.3842/SIGMA.2007.059