Energy transfer in a fast-slow Hamiltonian system
From MaRDI portal
Publication:647380
DOI10.1007/s00220-011-1317-7zbMath1235.82065arXiv1010.3972OpenAlexW3103152417WikidataQ126185249 ScholiaQ126185249MaRDI QIDQ647380
Dmitry Dolgopyat, Carlangelo Liverani
Publication date: 23 November 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3972
Transport processes in time-dependent statistical mechanics (82C70) Geodesic flows in symplectic geometry and contact geometry (53D25) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
Related Items (25)
Local thermal equilibrium for certain stochastic models of heat transport ⋮ Nonequilibrium statistical mechanics of weakly stochastically perturbed system of oscillators ⋮ On the polynomial convergence rate to nonequilibrium steady states ⋮ Asymptotic Localization of Energy in Nondisordered Oscillator Chains ⋮ Energy separation in oscillatory Hamiltonian systems without any non-resonance condition ⋮ Duality for stochastic models of transport ⋮ Existence of nonequilibrium steady state for a simple model of heat conduction ⋮ Stochastic stability of Pollicott-Ruelle resonances ⋮ A mechanical model for Fourier's law of heat conduction ⋮ Nonconventional limit theorems in averaging ⋮ Energy fluctuations in simple conduction models ⋮ Energy transport through rare collisions ⋮ Equidistribution for standard pairs in planar dispersing billiard flows ⋮ Nonequilibrium statistical mechanics of a solid immersed in a continuum ⋮ On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas ⋮ Green-Kubo formula for weakly coupled systems with noise ⋮ Averaging principle and normal deviations for multiscale stochastic systems ⋮ Statistical properties of mostly contracting fast-slow partially hyperbolic systems ⋮ A Hamilton-Jacobi PDE associated with hydrodynamic fluctuations from a nonlinear diffusion equation ⋮ Exponential mixing for skew products with discontinuities ⋮ Open sets of exponentially mixing Anosov flows ⋮ Quantitative statistical properties of two-dimensional partially hyperbolic systems ⋮ Diffusion of Energy in Chains of Oscillators with Conservative Noise ⋮ Nonequilibrium statistical mechanics of Hamiltonian rotators with alternated spins ⋮ Toward the Fourier law for a weakly interacting anharmonic crystal
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Thermal conductivity for a momentum conservative model
- Energy transport in stochastically perturbed lattice dynamics
- Nonequilibrium energy profiles for a class of 1-D models
- Energy transport in weakly anharmonic chains
- A regularity lemma for functions of several variables
- Random walk in Markovian environment
- Thermal conductivity for a noisy disordered harmonic chain
- Random walks in space time mixing environments
- Non-perturbative approach to random walk in Markovian environment
- Nonlinear diffusion limit for a system with nearest neighbor interactions
- On decay of correlations in Anosov flows
- Spectral rigidity of a compact negatively curved manifold
- Geodesic flows
- On contact Anosov flows
- Towards a derivation of Fourier's law for coupled anharmonic oscillators
- Toward the Fourier law for a weakly interacting anharmonic crystal
- Anomalous energy transport in the FPU-β chain
- Random Walk in deterministically changing environment
- Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
- SOME SMOOTH ERGODIC SYSTEMS
- A model of heat conduction
This page was built for publication: Energy transfer in a fast-slow Hamiltonian system
