Effective spin-glass Hamiltonian for the anomalous dynamics of the HMF model |
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Authors: | Alessandro Pluchino Vito Latora Andrea Rapisarda |
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Institution: | aDipartimento di Fisica e Astronomia, Università di Catania and INFN sezione di Catania, Via S. Sofia 64, 95123 Catania, Italy |
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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. |
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Keywords: | Long-range Hamiltonian systems Glassy dynamics Replica method |
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