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Title: Generating random media from limited microstructural information via stochastic optimization

Abstract

Random media abound in nature and in manmade situations. Examples include porous media, biological materials, and composite materials. A stochastic optimization technique that we have recently developed to reconstruct realizations of random media (given limited microstructural information in the form of correlation functions) is investigated further, critically assessed, and refined. The reconstruction method is based on the minimization of the sum of squared differences between the calculated and reference correlation functions. We examine several examples, including one that has appreciable short-range order, and focus more closely on the kinetics of the evolution process. The method is generally successful in reconstructing or constructing random media with target correlation functions, but one must be careful in implementing an earlier proposed time-saving step when treating random media possessing significant short-range order. The issue of the uniqueness of the obtained solutions is also discussed. [copyright] [ital 1999 American Institute of Physics.]

Authors:
;  [1]
  1. (Princeton Materials Institute, Princeton University, Princeton, New Jersey 08544 (United States))
Publication Date:
OSTI Identifier:
6463372
Alternate Identifier(s):
OSTI ID: 6463372
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 86:6; Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ALGORITHMS; BIOLOGICAL MATERIALS; COMPOSITE MATERIALS; CORRELATION FUNCTIONS; MICROSTRUCTURE; OPTIMIZATION; POROUS MATERIALS; RANDOMNESS; STOCHASTIC PROCESSES; FUNCTIONS; MATERIALS; MATHEMATICAL LOGIC 665000* -- Physics of Condensed Matter-- (1992-)

Citation Formats

Cule, D., and Torquato, S. Generating random media from limited microstructural information via stochastic optimization. United States: N. p., 1999. Web. doi:10.1063/1.371225.
Cule, D., & Torquato, S. Generating random media from limited microstructural information via stochastic optimization. United States. doi:10.1063/1.371225.
Cule, D., and Torquato, S. Wed . "Generating random media from limited microstructural information via stochastic optimization". United States. doi:10.1063/1.371225.
@article{osti_6463372,
title = {Generating random media from limited microstructural information via stochastic optimization},
author = {Cule, D. and Torquato, S.},
abstractNote = {Random media abound in nature and in manmade situations. Examples include porous media, biological materials, and composite materials. A stochastic optimization technique that we have recently developed to reconstruct realizations of random media (given limited microstructural information in the form of correlation functions) is investigated further, critically assessed, and refined. The reconstruction method is based on the minimization of the sum of squared differences between the calculated and reference correlation functions. We examine several examples, including one that has appreciable short-range order, and focus more closely on the kinetics of the evolution process. The method is generally successful in reconstructing or constructing random media with target correlation functions, but one must be careful in implementing an earlier proposed time-saving step when treating random media possessing significant short-range order. The issue of the uniqueness of the obtained solutions is also discussed. [copyright] [ital 1999 American Institute of Physics.]},
doi = {10.1063/1.371225},
journal = {Journal of Applied Physics},
issn = {0021-8979},
number = ,
volume = 86:6,
place = {United States},
year = {1999},
month = {9}
}