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Density of States for a Specified Correlation Function and the Energy Landscape

Author(s): Gommes, Cedric J.; Jiao, Yang; Torquato, Salvatore

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Abstract: © 2012 American Physical Society. 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.
Publication Date: Feb-2012
Electronic Publication Date: 22-Feb-2012
Citation: Gommes, Cedric J., Jiao, Yang, Torquato, Salvatore (2012). Density of States for a Specified Correlation Function and the Energy Landscape. Physical Review Letters, 108 (8), 10.1103/PhysRevLett.108.080601
DOI: doi:10.1103/PhysRevLett.108.080601
ISSN: 0031-9007
EISSN: 1079-7114
Pages: 108, 080601-1 - 080601-5
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review Letters
Version: Final published version. This is an open access article.

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