Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings

Details Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings

1997-12-19

arxiv.org/abs/cond-mat/9712226v1

Physics

Condensed Matter

Statistical Mechanics

10 Revtex pages, 8 Eps figures, to appear in Phys. Rev.E 57(1998)

Scientific paper

10.1103/PhysRevE.57.1139

The spatiotemporal dynamics of a damped sine-Gordon chain with sinusoidal nearest-neighbor couplings driven by a constant uniform force are discussed. The velocity characteristics of the chain versus the external force is shown. Dynamics in the high- and low-velocity regimes are investigated. It is found that in the high-velocity regime, the dynamics is dominated by rotating modes, the velocity shows a branching bifurcation feature, while in the low-velocity regime, the velocity exhibits step-like dynamical transitions, broken by the destruction of strong resonances.

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