Kink propagation in a two-dimensional curved Josephson junction

Details Kink propagation in a two-dimensional curved Josephson junction Kink propagation in a two-dimensional curved Josephson junction

2003-08-31

arxiv.org/abs/nlin/0309001v1

Nonlinear Sciences

Pattern Formation and Solitons

8 pages, 4 figures (2 in color)

Scientific paper

10.1103/PhysRevB.69.134506

We consider the propagation of sine-Gordon kinks in a planar curved strip as a model of nonlinear wave propagation in curved wave guides. The homogeneous Neumann transverse boundary conditions, in the curvilinear coordinates, allow to assume a homogeneous kink solution. Using a simple collective variable approach based on the kink coordinate, we show that curved regions act as potential barriers for the wave and determine the threshold velocity for the kink to cross. The analysis is confirmed by numerical solution of the 2D sine-Gordon equation.

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