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

Alessandro Pluchino, Vito Latora and Andrea Rapisarda

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 573-584

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.

Keywords: Long-range Hamiltonian systems; Glassy dynamics; Replica method (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:573-584

DOI: 10.1016/j.physa.2006.03.067

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