Brownian soliton motion
Optics
2009-11-13 v1 Pattern Formation and Solitons
Abstract
We reveal fundamental analogies between soliton dynamics in light-induced random photonic lattices and Brownian motion of particles. In particular, we discover that the average squared soliton displacement increases linearly with distance after an initial ballistic regime of propagation. We also find that in shallow lattices the average soliton displacement grows linearly with increasing lattice depth.
Keywords
Cite
@article{arxiv.0804.2755,
title = {Brownian soliton motion},
author = {Yaroslav V. Kartashov and Victor A. Vysloukh and Lluis Torner},
journal= {arXiv preprint arXiv:0804.2755},
year = {2009}
}
Comments
14 pages, 4 figures, to appear in Physical Review A