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Phys. Rev. E 69, 055701(R) (2004) [4 pages]

Improved extremal optimization for the Ising spin glass

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A. Alan Middleton
Department of Physics, Syracuse University, Syracuse, New York 13244, USA

Received 10 February 2004; published 14 May 2004

A version of the extremal optimization (EO) algorithm introduced by Boettcher and Percus is tested on two- and three-dimensional spin glasses with Gaussian disorder. EO preferentially flips spins that are locally “unfit”; the variant introduced here reduces the probability of flipping previously selected spins. Relative to EO, this adaptive algorithm finds exact ground states with a speedup of order 104 (102) for 162‐ (83‐)spin samples. This speedup increases rapidly with system size, making this heuristic a useful tool in the study of materials with quenched disorder.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.055701
DOI:
10.1103/PhysRevE.69.055701
PACS:
02.60.Pn, 75.10.Nr, 89.20.Ff