Hamiltonian dynamics reveals the existence of quasi-stationary states for long-range systems in contact with a reservoir

Abstract

We introduce a Hamiltonian dynamics for the description of long-range interacting systems in contact with a thermal bath (i.e., in the canonical ensemble). The dynamics confirms statistical mechanics equilibrium predictions for the Hamiltonian Mean Field model and the equilibrium ensemble equivalence. We find that long-lasting quasi-stationary states persist in presence of the interaction with the environment. Our results indicate that quasi-stationary states are indeed reproducible in real physical experiments.

arXiv commentTitle changed, throughout revision of the text

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Cited by in corpus (29)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Thermodynamics and dynamics of systems with long-range interactions
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• Slow relaxation in long-range interacting systems with stochastic dynamics
• A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
• Incomplete equilibrium in long-range interacting systems
• A note on q-Gaussians and non-Gaussians in statistical mechanics
• Absence of thermalization for systems with long-range interactions coupled to a thermal bath
• Relaxation times of unstable states in systems with long range interactions
• Microcanonical quasi-stationarity of long-range interacting systems in contact with a heat bath
• Dynamical stability of systems with long-range interactions: application of the Nyquist method to the HMF model
• The Brownian Mean Field model
• Quasistationarity in a model of classical spins with long-range interactions
• On the non-Boltzmannian nature of quasi-stationary states in long-range interacting systems
• Noise-induced dynamical phase transitions in long-range systems
• Algebraic Correlation Function and Anomalous Diffusion in the HMF model
• Ensemble in-equivalence in supernova matter within a simple model
• Physical interpretation of the canonical ensemble for long-range interacting systems in the absence of ensemble equivalence
• Quasistationarity in a long-range interacting model of particles moving on a sphere
• Relaxation dynamics of stochastic long-range interacting systems
• Thermodynamics of the HMF model with a magnetic field
• Equilibrium and nonequilibrium properties of systems with long-range interactions
• Manipulating phases in many-body interacting systems with subsystem resetting
• Stationary density matrix of a pumped polariton system
• Nosé-Hoover and Langevin thermostats do not reproduce the nonequilibrium behavior of long-range Hamiltonians
• Hamiltonian mean field model : effect of temporal perturbation in coupling matrix
• Relaxation to equilibrium in models of classical spins with long-range interactions
• Modified Thirring model beyond the excluded-volume approximation
• Dynamics and Thermodynamics of the mean field d-HMF model out-of-equilibrium