J M Speight and Y Zolotaryuk 2006 Nonlinearity 19 1365 doi:10.1088/0951-7715/19/6/008
J M Speight1 and Y Zolotaryuk2
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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.
37L60 Lattice dynamics (See also 37K60)
37J05 General theory, relations with symplectic geometry and topology
Issue 6 (June 2006)
Received 28 September 2005, in final form 15 March 2006
Published 15 May 2006
J M Speight and Y Zolotaryuk 2006 Nonlinearity 19 1365
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