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.
@article{arxiv.nlin/0305043,
title = {Diffusion of intrinsic localised modes by attractor hopping},
author = {Matthias Meister and Luis Vázquez},
journal= {arXiv preprint arXiv:nlin/0305043},
year = {2007}
}