Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model

Abstract

Out of equilibrium magnetised solutions of the $XY$-Hamiltonian Mean Field ($XY$-HMF) model are build using an ensemble of integrable uncoupled pendula. Using these solutions we display an out-of equilibrium phase transition using a specific reduced set of the magnetised solutions.

References in corpus (3)

• Out-of-equilibrium tricritical point in a system with long-range interactions
• Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
• Stabilizing the intensity of a wave amplified by a beam of particles

Cited by in corpus (6)

• Nonequilibrium stationary states of 3D self-gravitating systems
• Surprises from quenches in long-range interacting systems: Temperature inversion and cooling
• Emergence of a non trivial fluctuating phase in the XY model on regular networks
• Violent relaxation in the Hamiltonian Mean Field model: I. Cold collapse and effective dissipation
• Unveiling the nature of out-of-equilibrium phase transitions in a system with long-range interactions
• Fast collective oscillations and clustering phenomena in an antiferromagnetic mean-field model