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Optimization and self-organized criticality in a magnetic system

Author

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  • Onody, Roberto N.
  • de Castro, Paulo A.

Abstract

We propose a kind of Bak–Sneppen dynamics as a general optimization technique to treat magnetic systems. The resulting dynamics shows self-organized criticality with power-law scaling of the spatial and temporal correlations. An alternative method of the extremal optimization (EO) is also analyzed here. We provided a numerical confirmation that, for any possible value of its free parameter τ, the EO dynamics exhibits a non-critical behavior with an infinite spatial range and exponential decay of the avalanches. Using the chiral clock model as our test system, we compare the efficiency of the two dynamics with regard to their abilities to find the system's ground state.

Suggested Citation

  • Onody, Roberto N. & de Castro, Paulo A., 2003. "Optimization and self-organized criticality in a magnetic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 247-255.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:247-255
    DOI: 10.1016/S0378-4371(02)01816-2
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