Density of states for a specified correlation function and the energy landscape

C. J. Gommes, Y. Jiao, S. Torquato

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


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 explained in terms of the roughness of an 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 structures.

Original languageEnglish (US)
Article number080601
JournalPhysical Review Letters
Issue number8
StatePublished - Feb 22 2012
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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