Physical Review Letters
Print Issue of 23 September 2002

Phys. Rev. Lett. 89, 135501 (2002)

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Uniqueness of Reconstruction of Multiphase Morphologies from Two-Point Correlation Functions

M. G. Rozman, Marcel Utz
Institute of Materials Science and Department of Physics, University of Connecticut, Storrs, Connecticut 06269
Received 3 December 2001; published 4 September 2002

The restoration of the spatial structure of heterogeneous media, such as composites, porous materials, microemulsions, ceramics, or polymer blends from two-point correlation functions, is a problem of relevance to several areas of science. In this contribution we revisit the question of the uniqueness of the restoration problem. We present numerical evidence that periodic, piecewise uniform structures with smooth boundaries are completely specified by their two-point correlation functions, up to a translation and, in some cases, inversion. We discuss the physical relevance of the results.

©2002 The American Physical Society

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