Density of States for a Specified Correlation Function and the Energy Landscape
Statistical Mechanics
2012-05-16 v1
Abstract
The degeneracy of two-phase disordered microstructures consistent with a specified correlation function is analyzed by mapping it to a ground-state degeneracy. We determine for the first time the associated density of states via a Monte Carlo algorithm. Our results are described in terms of the roughness of the energy landscape, defined on a hypercubic configuration space. The use of a Hamming distance in this space enables us to define a roughness metric, which is calculated from the correlation function alone and related quantitatively to the structural degeneracy. This relation is validated for a wide variety of disordered systems.
Keywords
Cite
@article{arxiv.1201.1142,
title = {Density of States for a Specified Correlation Function and the Energy Landscape},
author = {Cedric Gommes and Yang Jiao and Salvatore Torquato},
journal= {arXiv preprint arXiv:1201.1142},
year = {2012}
}
Comments
Accepted for publication in Physical Review Letters