{ "id": "cond-mat/0402295", "version": "v2", "published": "2004-02-10T23:14:16.000Z", "updated": "2004-03-15T20:48:05.000Z", "title": "Improved extremal optimization for the Ising spin glass", "authors": [ "A. Alan Middleton" ], "comment": "4 pages, 3 color figs; minor text changes and new data point in v. 2", "journal": "Physical Review E 69, 055701 (R) (2004)", "doi": "10.1103/PhysRevE.69.055701", "categories": [ "cond-mat.dis-nn" ], "abstract": "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 $10^{4}$ ($10^{2}$) for $16^{2}$- ($8^{3}$-) spin samples. This speed-up increases rapidly with system size, making this heuristic a useful tool in the study of materials with quenched disorder.", "revisions": [ { "version": "v2", "updated": "2004-03-15T20:48:05.000Z" } ], "analyses": { "keywords": [ "ising spin glass", "extremal optimization", "algorithm finds exact ground states", "adaptive algorithm finds exact ground", "eo preferentially flips spins" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }