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Glassy phase in the Hamiltonian Mean Field model

Alessandro Pluchino·Vito Latora·Andrea Rapisarda
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Abstract

We study the relaxation dynamics of a Hamiltonian system of N fully-coupled XY spins. The thermodynamics of the system predicts a ferromagnetic and a paramagnetic phase. Starting from out-of-equilibrium initial conditions, the dynamics at constant energy drives the system into quasi-stationary states (QSS) characterized by dynamical frustration. We introduce the spin polarization as a new order parameter which allows to interpret the dynamically generated QSS regime as a glassy phase of the model.

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Alessandro Pluchino, Vito Latora, Andrea Rapisarda. 2003-10-08. Glassy phase in the Hamiltonian Mean Field model. https://doi.org/10.1103/physreve.69.056113

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