Temperature Profiles in Hamiltonian Heat Conduction

Abstract

We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a large class of such models. This law contains a parameter $\alpha$, and is linear only when $\alpha =1$. The value of $\alpha$ depends on energy-exchange mechanisms, including the range of motion of tracer particles and their times of flight.

Revised text, same results Second revision

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Cited by in corpus (24)

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• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonequilibrium Energy Profiles for a Class of 1-D Models
• Entropy of Open Lattice Systems
• Heat conduction and Fourier's law in a class of many particle dispersing billiards
• Fourier law from a chain of coupled anharmonic oscillators under energy conserving noise
• Fourier law in a momentum-conserving chain
• A mechanical model for Fourier's law of heat conduction
• Fourier's law from a chain of coupled planar harmonic oscillators under energy conserving noise
• Non-equilibrium steady states for chains of four rotors
• Large deviations of the current in stochastic collisional dynamics
• Hamiltonian model of heat conductivity and Fourier law
• Hot scatterers and tracers for the transfer of heat in collisional dynamics
• Probing local equilibrium in nonequilibrium fluids
• Dissipation and Entropy Production in Deterministic Heat Conduction of Quasi-one-dimensional Systems
• Heat transport along a chain of coupled quantum harmonic oscillators
• Scaling laws and bulk-boundary decoupling in heat flow
• Macroscopic fluctuations theory of aerogel dynamics
• Fourier's Law in a Generalized Piston Model
• On the derivation of Fourier's law for coupled anharmonic oscillators
• Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing
• Diffusion in Energy Conserving Coupled Maps
• Long-range correlations in a simple stochastic model of coupled transport
• Large deviations for a random speed particle