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Kinks in dipole chains

J. M. Speight·Y. Zolotaryuk
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Abstract

It is shown that the topological discrete sine-Gordon system introduced by Speight and Ward models the dynamics of an infinite uniform chain of electric dipoles constrained to rotate in a plane containing the chain. Such a chain admits a novel type of static kink solution which may occupy any position relative to the spatial lattice and experiences no Peierls-Nabarro barrier. Consequently the dynamics of a single kink is highly continuum like, despite the strongly discrete nature of the model. Static multikinks and kink-antikink pairs are constructed, and it is shown that all such static solutions are unstable. Exact propagating kinks are sought numerically using the pseudo-spectral method, but it is found that none exist, except, perhaps, at very low speed.

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J. M. Speight, Y. Zolotaryuk. 2006-05-05. Kinks in dipole chains. https://doi.org/10.1088/0951-7715%2F19%2F6%2F008

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