Elastic manifolds in disordered environments: energy statistics
Disordered Systems and Neural Networks
2009-11-10 v1 Statistical Mechanics
Abstract
The energy of an elastic manifold in a random landscape at T=0 is shown numerically to obey a probability distribution that depends on size of the box it is put into. If the extent of the spatial fluctuations of the manifold is much less than that of the system, a cross-over takes place to the Gumbel-distribution of extreme statistics. If they are comparable, the distributions have non-Gaussian, stretched exponential tails. The low-energy and high-energy stretching exponents are roughly independent of the internal dimension and the fluctuation degrees of freedom.
Cite
@article{arxiv.cond-mat/0301604,
title = {Elastic manifolds in disordered environments: energy statistics},
author = {K. P. J. Kytölä and E. T. Seppälä and M. J. Alava},
journal= {arXiv preprint arXiv:cond-mat/0301604},
year = {2009}
}
Comments
Accepted for publication in Europhysics Letters