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Optimal paths and domain walls in the strong disorder limit

Optimal paths and domain walls in the strong disorder limit An optimization problem that may be cast in the context of domain walls in ferromagnets and spin glasses, latice animals, and percolation is described. Numerical calculations in two and three dimensions show that a new universality class is obtained. In the strong disorder limit interfaces are not self-affine but fractal. Further, the nontrivial ground state of frustrated spin glasses is straightforwardly obtained in this limit. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Optimal paths and domain walls in the strong disorder limit

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1994 The American Physical Society
ISSN
1079-7114
DOI
10.1103/PhysRevLett.72.2320
Publisher site
See Article on Publisher Site

Abstract

An optimization problem that may be cast in the context of domain walls in ferromagnets and spin glasses, latice animals, and percolation is described. Numerical calculations in two and three dimensions show that a new universality class is obtained. In the strong disorder limit interfaces are not self-affine but fractal. Further, the nontrivial ground state of frustrated spin glasses is straightforwardly obtained in this limit.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Apr 11, 1994

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