Quasi-stationary states and incomplete violent relaxation in systems with long-range interactions

Abstract

We discuss the nature of quasi-stationary states (QSS) with non-Boltzmannian distribution in systems with long-range interactions in relation with a process of incomplete violent relaxation based on the Vlasov equation. We discuss several attempts to characterize these QSS and explain why their prediction is difficult in general.

arXiv commentTalk given at the 3rd NEXT-Sigma-Phi Conference, Crete, Aug.2005, 10 pages

References in corpus (11)

• Superstatistics
• Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics
• Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model
• Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model
• Statistical theory of high-gain free-electron laser saturation
• Gravitational instability of isothermal and polytropic spheres
• Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system
• Coarse-grained distributions and superstatistics
• Hamiltonian and Brownian systems with long-range interactions
• On the meaning of Tsallis functional in astrophysics
• Nonextensive Thermodynamics and Glassy behaviour in Hamiltonian systems

Cited by in corpus (43)

• Thermodynamics and dynamics of systems with long-range interactions
• A maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model
• On the core-halo distribution of dark matter in galaxies
• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
• Lynden-Bell and Tsallis distributions for the HMF model
• Incomplete equilibrium in long-range interacting systems
• A note on q-Gaussians and non-Gaussians in statistical mechanics
• Kinetic equations for systems with long-range interactions: a unified description
• Hamiltonian and Brownian systems with long-range interactions: III. The BBGKY hierarchy for spatially inhomogeneous systems
• Brownian particles with long and short range interactions
• Kinetic theory with angle-action variables
• Hamiltonian and Brownian systems with long-range interactions: IV. General kinetic equations from the quasilinear theory
• Scaling of the dynamics of homogeneous states of one-dimensional long-range interacting systems
• Inhomogeneous Tsallis distributions in the HMF model
• Kinetic theory of two dimensional point vortices from a BBGKY-like hierarchy
• Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions
• The role of self-interacting right-handed neutrinos in galactic structure
• Out-of-equilibrium phase transitions in the HMF model: a closer look
• Collisionless relaxation of a Lynden-Bell plasma
• Kinetic theory of collisionless relaxation for systems with long-range interactions
• Predictive model of fermionic dark matter halos with a quantum core and an isothermal atmosphere
• Special Features of Galactic Dynamics
• Kinetic theory of two-dimensional point vortices with collective effects
• Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions
• A heuristic wave equation parameterizing BEC dark matter halos with a quantum core and an isothermal atmosphere
• Curious behaviour of the diffusion coefficient and friction force for the strongly inhomogeneous HMF model
• Caloric curves fitted by polytropic distributions in the HMF model
• Thermodynamics of the HMF model with a magnetic field
• Statistical mechanics of self-gravitating systems: mixing as a criterion for indistinguishability
• Symplectic coarse graining approach to the dynamics of spherical self-gravitating systems
• Lyapunov Exponent and Criticality in the Hamiltonian Mean Field Model
• A Collision Operator for Describing Dissipation in Noncanonical Phase Space
• Extreme Value Laws for Superstatistics
• Double Lynden-Bell Structure of Low-Energy Quasi-Stationary Distributions in the Hamiltonian Mean-Field Model
• Hamiltonian mean field model : effect of temporal perturbation in coupling matrix
• The quasilinear theory in the approach of long-range systems to quasi-stationary states
• Effect of the fluctuations around mean field for N-body systems with long range interactions
• Violent relaxation in one-dimensional self-gravitating system: deviation from the Vlasov limit due to finite-$N$ effect
• Vlasov dynamics of 1D models with long-range interactions
• Incomplete-exclusion Statistical Mechanics in Non-collisional Violent Relaxation of Celestial Objects
• Core-Halo Quasi-Stationary States in the Hamiltonian Mean-Field Model
• Time Parametrizations in Long-Range Interacting Bose-Einstein Condensates