Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators.
From MaRDI portal
Publication:1581653
DOI10.1007/s002200000216zbMath1044.82008arXivchao-dyn/9909035OpenAlexW2096987252MaRDI QIDQ1581653
Jean-Pierre Eckmann, Martin Hairer
Publication date: 8 October 2000
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9909035
Related Items
Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential ⋮ Effective Mori-Zwanzig equation for the reduced-order modeling of stochastic systems ⋮ Strong Feller properties for degenerate SDEs with jumps ⋮ Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths ⋮ Nonequilibrium statistical mechanics of weakly stochastically perturbed system of oscillators ⋮ Non-equilibrium steady states for chains of four rotors ⋮ Null-controllability of hypoelliptic quadratic differential equations ⋮ The long time behavior of Brownian motion in tilted periodic potentials ⋮ Fundamental solutions of nonlocal Hörmander's operators ⋮ On the fundamental solution and a variational formulation for a degenerate diffusion of Kolmogorov type ⋮ Regularity of laws and ergodicity of hypoelliptic SDEs driven by rough paths ⋮ Non-equilibrium steady states for networks of oscillators ⋮ Slow energy dissipation in anharmonic oscillator chains ⋮ Dynamical-system models of transport: chaos characteristics, the macroscopic limit, and irre\-versibility ⋮ Short and long time behavior of the Fokker-Planck equation in a confining potential and applications ⋮ On the Generalized Langevin Equation for Simulated Annealing ⋮ Ergodicity and energy distributions for some boundary driven integrable Hamiltonian chains ⋮ Energy dissipation in Hamiltonian chains of rotators ⋮ Anomalous transport in low-dimensional systems: a pedagogical overview ⋮ Exponential return to equilibrium for hypoelliptic quadratic systems ⋮ Improving the Convergence Rates for the Kinetic Fokker–Planck Equation by Optimal Control ⋮ From ballistic to diffusive behavior in periodic potentials ⋮ Optimal friction matrix for underdamped Langevin sampling ⋮ Continuous-time Random Walks for the Numerical Solution of Stochastic Differential Equations ⋮ A note on Harris' ergodic theorem, controllability and perturbations of harmonic networks ⋮ Non-equilibrium steady states in Kac's model coupled to a thermostat ⋮ Towards a derivation of Fourier's law for coupled anharmonic oscillators ⋮ Controlling general polynomial networks ⋮ Nonequilibrium statistical mechanics of a solid immersed in a continuum ⋮ Hypoellipticity and the Mori–Zwanzig formulation of stochastic differential equations ⋮ Entropic fluctuations in thermally driven harmonic networks ⋮ Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats ⋮ Green-Kubo formula for weakly coupled systems with noise ⋮ Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics ⋮ Ergodicity of some open systems with particle-disk interactions ⋮ Multiscale expansion of invariant measures for SPDEs ⋮ Nonequilibrium steady states for certain Hamiltonian models ⋮ Large deviations and Gallavotti-Cohen principle for dissipative PDEs with rough noise ⋮ On strong Feller property, exponential ergodicity and large deviations principle for stochastic damping Hamiltonian systems with state-dependent switching ⋮ Scaling limits for the generalized Langevin equation ⋮ Exponential mixing under controllability conditions for \textsc{sde}s driven by a degenerate Poisson noise ⋮ Hypocoercive relaxation to equilibrium for some kinetic models ⋮ Sub-exponential mixing of open systems with particle-disk interactions ⋮ The optimal spectral gap for regular and disordered harmonic networks of oscillators ⋮ Entropy productions in dissipative systems ⋮ On the local space–time structure of non-equilibrium steady states ⋮ Stationary state solutions for a gently stochastic nonlinear wave equation with ultraviolet cutoffs ⋮ How hot can a heat bath get? ⋮ Sensitivity of steady states in a degenerately damped stochastic Lorenz system ⋮ Persistent energy flow for a stochastic wave equation model in nonequilibrium statistical mechanics ⋮ Non-reversible processes: GENERIC, hypocoercivity and fluctuations ⋮ A reduction scheme for coupled Brownian harmonic oscillators