Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2012-01-05
Physics
Condensed Matter
Statistical Mechanics
Accepted for publication in Physical Review Letters
Scientific paper
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.
Gommes Cedric
Jiao Yangxiu
Torquato Salvatore
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