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Statistical Topography of Glassy Interfaces

Chen Zeng·J. Kondev·D. McNamara·A. A. Middleton
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Abstract

Statistical topography of two-dimensional interfaces in the presence of quenched disorder is studied utilizing combinatorial optimization algorithms. Finite-size scaling is used to measure geometrical exponents associated with contour loops and fully packed loops. We find that contour-loop exponents depend on the type of disorder (periodic ``vs'' non-periodic) and they satisfy scaling relations characteristic of self-affine rough surfaces. Fully packed loops on the other hand are unaffected by disorder with geometrical exponents that take on their pure values.

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Chen Zeng, J. Kondev, D. McNamara, A. A. Middleton. 1997-09-08. Statistical Topography of Glassy Interfaces. https://doi.org/10.1103/physrevlett.80.109

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