Diffusion of intrinsic localised modes by attractor hopping

Matthias Meister; Luis Vázquez

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arXiv · nlin/0305043

Diffusion of intrinsic localised modes by attractor hopping

Matthias Meister·Luis Vázquez

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Abstract

Propagating intrinsic localised modes (discrete breathers) exist in the dissipative driven sine-Gordon chain as attractors of the dynamics. Thermal fluctuations induce random transitions between attracting configurations corresponding to opposite signs of the propagation velocity, effecting a diffusive motion of the breather. Results for the mean value and the variance of the position from numerical simulations (Heun method) are compared with predictions from a two-parameter model developed in this paper.

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Matthias Meister, Luis Vázquez. 2003-05-22. Diffusion of intrinsic localised modes by attractor hopping. https://arxiv.org/abs/nlin/0305043

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