Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
We consider Klein-Gordon models with a -correlated spatial disorder. We show that the properties of immobile kinks exhibit strong dependence on the assumptions as to their statistical distribution over the minima of the effective random potential. Namely, there exists a crossover from monotonically increasing (when a kink occupies the deepest potential well) to the non-monotonic (at equiprobable distribution of kinks over the potential minima) dependence of the average kink width as a function of the disorder intensity. We show also that the same crossover may take place with changing size of the system.
Cite
@article{arxiv.cond-mat/9906029,
title = {Interplay of disorder and nonlinearity in Klein-Gordon models: Immobile kinks},
author = {Serge F. Mingaleev and Yuri B. Gaididei and Eva Majernikova and Serge Shpyrko},
journal= {arXiv preprint arXiv:cond-mat/9906029},
year = {2009}
}
Comments
7 pages, 4 figures