Statistical Topography of Glassy Interfaces

Details Statistical Topography of Glassy Interfaces Statistical Topography of Glassy Interfaces

1997-09-08

arxiv.org/abs/cond-mat/9709092v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, REVTEX, 4 figures included. Further information can be obtained from chenz@physics.rutgers.edu

Scientific paper

10.1103/PhysRevLett.80.109

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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