Kink dynamics in a novel discrete sine-Gordon system

Details Kink dynamics in a novel discrete sine-Gordon system Kink dynamics in a novel discrete sine-Gordon system

1999-11-25

arxiv.org/abs/patt-sol/9911008v1

Nonlinearity 7 (1994) 475-484

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 7 figures, archiving

Scientific paper

10.1088/0951-7715/7/2/009

A spatially-discrete sine-Gordon system with some novel features is
described. There is a topological or Bogomol'nyi lower bound on the energy of a
kink, and an explicit static kink which saturates this bound. There is no
Peierls potential barrier, and consequently the motion of a kink is simpler,
especially at low speeds. At higher speeds, it radiates and slows down.

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