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We propose a kind of Bak-Sneppen dynamics as a general optimization techniqueto treat magnetic systems. The resulting dynamics shows self-organizedcriticality with power law scaling of the spatial and temporal correlations. Analternative method of the extremal optimization is also analyzed here. Weprovided a numerical confirmation that, for any possible value of its freeparameter $\tau$, the extremal optimization dynamics exhibits a non-criticalbehavior with an infinite spatial range and exponential decay of theavalanches. Using the chiral clock model as our test system, we compare theefficiency of the two dynamics with regard to their abilities to find thesystem's ground state.Comment: 5 pages, 4 figures, revtex

SELF-ORGANIZED CRITICALITY, OPTIMIZATION AND BIODIVERSITY