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Efficient search of critical points in Ising-like systems

Author

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  • Fulco, U.L.
  • Lucena, L.S.
  • Viswanathan, G.M.

Abstract

We propose a simulation method inspired by self-organization that drives Ising-like magnetic systems rapidly to criticality. We develop a feedback control rule with very few parameters for use with the standard methods of local spin updatings that spontaneously leads the system to the critical temperature. This method for predicting the critical values requires small lattices. It gives good results eg., 1% accuracy for TC in 3-D for 103 systems, with reduced computer times, for both Glauber and Metropolis dynamics.

Suggested Citation

  • Fulco, U.L. & Lucena, L.S. & Viswanathan, G.M., 1999. "Efficient search of critical points in Ising-like systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 171-179.
    • Handle: RePEc:eee:phsmap:v:264:y:1999:i:1:p:171-179
    DOI: 10.1016/S0378-4371(98)00469-5
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    Cited by:

    1. Sastre, Francisco, 2021. "Critical point determination from probability distribution functions in the three dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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