Abstract :
[en] 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.
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