Phys. Rev. Lett. 80, 109–112 (1998)Statistical Topography of Glassy InterfacesReceived 8 September 1997; published in the issue dated 5 January 1998 The 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 nonperiodic) and that they satisfy scaling relations characteristic of self-affine rough surfaces. Fully packed loops on the other hand are not affected by disorder with geometrical exponents that take on their pure values. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.109
DOI:
10.1103/PhysRevLett.80.109
PACS:
64.70.Pf, 02.60.Pn, 74.60.Ge
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