Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 059, 11 pages      arXiv:0704.3173
Contribution to the Vadim Kuznetsov Memorial Issue

A Critical Phenomenon in Solitonic Ising Chains

Igor M. Loutsenko a and 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

Received December 04, 2006, in final form April 17, 2007; Published online April 24, 2007

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.

Key words: Ising chain; solitons; phase transition.

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