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Glassy phase in the Hamiltonian mean-field model
Alessandro Pluchino1, Vito Latora, Andrea Rapisarda
1Dipartimento di Fisica e Astronomia, Università di Catania, and INFN Sezione di Catania, Via S. Sofia 64, 95123 Catania, Italy.
This study explores Hamiltonian systems of XY spins, revealing how out-of-equilibrium dynamics lead to quasistationary states (QSSs) and a glassy phase. Spin polarization helps interpret these dynamically generated glassy states.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Complex Systems
Background:
- Hamiltonian systems with N fully coupled XY spins exhibit ferromagnetic and paramagnetic phases.
- Understanding non-equilibrium dynamics is crucial for complex systems.
Purpose of the Study:
- Investigate the relaxation dynamics of N fully coupled XY spins from out-of-equilibrium initial conditions.
- Characterize the emergent quasistationary states (QSSs) and their thermodynamic phases.
- Interpret the QSS regime using a novel order parameter.
Main Methods:
- Simulating a Hamiltonian system of N fully coupled XY spins.
- Analyzing dynamics at constant energy.
- Introducing and utilizing spin polarization as an order parameter.
Main Results:
- The system evolves into quasistationary states (QSSs) under constant energy dynamics.
- These QSSs are characterized by dynamical frustration.
- Spin polarization successfully identifies the QSS regime as a glassy phase.
Conclusions:
- The XY spin system exhibits a dynamically generated glassy phase.
- Quasistationary states are a key feature of this system's non-equilibrium behavior.
- Spin polarization serves as an effective order parameter for glassy phases in such systems.
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