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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Revtex, 9 pages, 2 figures. New revised version revised according to the referee reports

Scientific paper

10.1016/j.physa.2006.03.067

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 introducted in the HMF model.

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