Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability

DOI10.1088/1742-5468/2012/12/P12010zbMath1456.82685arXiv1210.0492WikidataQ61763135 ScholiaQ61763135MaRDI QIDQ3301316

Cesare Nardini, Freddy Bouchet, Stefano Ruffo, Shamik Gupta, Thierry Dauxois

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0492

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (8)

Perturbative calculation of quasi-potential in non-equilibrium diffusions: a mean-field example ⋮ A classification of nonequilibrium steady states based on temperature correlations ⋮ Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations ⋮ The world of long-range interactions: A bird’s eye view ⋮ Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations ⋮ Kuramoto model of synchronization: equilibrium and nonequilibrium aspects ⋮ Lyapunov exponents of stochastic systems—from micro to macro ⋮ Dynamical large deviations for homogeneous systems with long range interactions and the Balescu-Guernsey-Lenard equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermodynamics and dynamics of systems with long-range interactions
• Nonequilibrium work relations: foundations and applications
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• The Fokker-Planck equation. Methods of solution and applications.
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS
• The accuracy of symplectic integrators
• The Gravitational Million–Body Problem
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
• Ergodic Properties of Markov Processes
• Brownian motion in a field of force and the diffusion model of chemical reactions

This page was built for publication: Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability