Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model
arXiv:cond-mat/0506665 · doi:10.1016/j.physa.2006.03.067
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 introducted in the HMF model.
arXiv commentRevtex, 9 pages, 2 figures. New revised version revised according to the referee reports
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- Nonergodicity and Central Limit Behavior for Long-range Hamiltonians
- A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
- Controlling the Range of Interactions in the Classical Inertial Ferromagnetic Heisenberg Model: Analysis of Metastable States
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