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arXiv 2004-02-10 DOI 10.1103/PhysRevE.69.055701 0 views

Improved extremal optimization for the Ising spin glass

Middleton, A. Alan

Original · EN

A version of the extremal optimization (EO) algorithm introduced by Boettcher and Percus is tested on 2D and 3D spin glasses with Gaussian disorder. EO preferentially flips spins that are locally ``unfit''; the variant introduced here reduces the probability to flip previously selected spins. Relative to EO, this adaptive algorithm finds exact ground states with a speed-up of order 10⁴ (10²) for 16²- (8³-) spin samples. This speed-up increases rapidly with system size, making this heuristic a useful tool in the study of materials with quenched disorder.

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