The Kirchhoff Rod as a XY Spin Chain Model
classification
🌊 nlin.SI
nlin.PS
keywords
chainequationkirchhoffmodelspinstaticcaseconstant
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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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