A mechanical model for Fourier's law of heat conduction

DOI10.1007/s00220-011-1304-zzbMath1246.82075arXiv1102.5488OpenAlexW3103330412MaRDI QIDQ422400

David Pierre Ruelle

Publication date: 16 May 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5488

zbMATH Keywords

energy transportFourier's lawnonequilibrium statistical mechanics

Mathematics Subject Classification ID

Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items

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 ⋮ Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit ⋮ Existence of nonequilibrium steady state for a simple model of heat conduction ⋮ Hypertemperature effects in heterogeneous media and thermal flux at small-length scales ⋮ Nonequilibrium statistical mechanics of a solid immersed in a continuum ⋮ Statistical properties of mostly contracting fast-slow partially hyperbolic systems ⋮ Nonequilibrium statistical mechanics of Hamiltonian rotators with alternated spins

Cites Work

• Unnamed Item
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• Energy transfer in a fast-slow Hamiltonian system
• Nonequilibrium energy profiles for a class of 1-D models
• Differentiability and analyticity of topological entropy for Anosov and geodesic flows
• Heat conduction and entropy production in anharmonic crystals with self-consistent stochastic reservoirs
• On decay of correlations in Anosov flows
• Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
• Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
• Differentiation of SRB states
• What are SRB measures, and which dynamical systems have them?
• Dynamical ensembles in stationary states.
• On differentiability of SRB states for partially hyperbolic systems
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Fourier's law for a harmonic crystal with self-consistent stochastic reservoirs
• Smooth Anosov flows: Correlation spectra and stability
• Singularities of the susceptibility of a Sinai–Ruelle–Bowen measure in the presence of stable–unstable tangencies
• Temperature profiles in Hamiltonian heat conduction
• Gibbs measures for partially hyperbolic attractors
• Prevalence of rapid mixing in hyperbolic flows
• Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
• Topics in Non-Equilibrium Quantum Statistical Mechanics
• Differentiation of SRB states for hyperbolic flows
• Invariant manifolds