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Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model

Author

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  • Pluchino, Alessandro
  • Latora, Vito
  • Rapisarda, Andrea

Abstract

We discuss an effective spin-glass Hamiltonian which can be used to study the glassy-like dynamics observed in the metastable states of the Hamiltonian mean field (HMF) model. By means of the Replica formalism, we were able to find a self-consistent equation for the glassy order parameter which reproduces, in a restricted energy region below the phase transition, the microcanonical simulations for the polarization order parameter recently introduced in the HMF model.

Suggested Citation

  • Pluchino, Alessandro & Latora, Vito & Rapisarda, Andrea, 2006. "Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 573-584.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:573-584
    DOI: 10.1016/j.physa.2006.03.067
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