Lack of self-average in weakly disordered one dimensional systems
Condensed Matter
2009-10-22 v1
Abstract
We introduce a one dimensional disordered Ising model which at zero temperature is characterized by a non-trivial, non-self-averaging, overlap probability distribution when the impurity concentration vanishes in the thermodynamic limit. The form of the distribution can be calculated analytically for any realization of disorder. For non-zero impurity concentration the distribution becomes a self-averaging delta function centered on a value which can be estimated by the product of appropriate transfer matrices.
Cite
@article{arxiv.cond-mat/9304025,
title = {Lack of self-average in weakly disordered one dimensional systems},
author = {A. Crisanti and G. Paladin and M. Serva and A. Vulpiani},
journal= {arXiv preprint arXiv:cond-mat/9304025},
year = {2009}
}
Comments
17 pages + 5 figures, TeX dialect: Plain TeX + IOP macros (included)