The Kirchhoff Rod as a XY Spin Chain Model

Details The Kirchhoff Rod as a XY Spin Chain Model The Kirchhoff Rod as a XY Spin Chain Model

2005-12-23

arxiv.org/abs/nlin/0512069v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, 1 figure, IOP style

Scientific paper

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.

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