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.
Titolo: | Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model |
Autori interni: | |
Data di pubblicazione: | 2006 |
Rivista: | |
Handle: | http://hdl.handle.net/20.500.11769/26709 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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