The Kirchhoff Rod as a XY Spin Chain Model
Exactly Solvable and Integrable Systems
2007-05-23 v1 Pattern Formation and Solitons
Abstract
A XY Heisenberg spin chain model with two perpendicular spins par site is mapped onto a Kirchhoff thin elastic rod. It is shown that in the case of constant curvature the Euler--Lagrange equation leads to the static sine-Gordon equation. The kink-antikink type and periodical static solutions for these models are derived.
Keywords
Cite
@article{arxiv.nlin/0512069,
title = {The Kirchhoff Rod as a XY Spin Chain Model},
author = {Rossen Dandoloff and Georgi Grahovski},
journal= {arXiv preprint arXiv:nlin/0512069},
year = {2007}
}
Comments
6 pages, 1 figure, IOP style