Fourier law in a momentum-conserving chain

Abstract

We introduce a family of Hamiltonian models for heat conduction with and without momentum conservation. They are analytically solvable in the high temperature limit and can also be efficiently simulated. In all cases Fourier law is verified in one dimension.

arXiv comment28 pages, 4 figures, revised version

References in corpus (20)

• Thermal conduction in classical low-dimensional lattices
• Anomalous heat conduction in one dimensional momentum-conserving systems
• Heat conduction in one dimensional chains
• Finite thermal conductivity in 1d lattices
• On the anomalous thermal conductivity of one-dimensional lattices
• Heat conduction in the diatomic Toda lattice revisited
• Heat Conduction and Entropy Production in a One-Dimensional Hard-Particle Gas
• Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
• Anomalous Heat Conduction in a Di-atomic One-Dimensional Ideal Gas
• Finite thermal conductivity in 1D models having zero Lyapunov exponents
• Can disorder induce a finite thermal conductivity in 1D lattices?
• Observation of coupled normal heat and matter transport in a simple model system
• Heat conductivity in linear mixing systems
• Mode-coupling theory and molecular dynamics simulation for heat conduction in a chain with transverse motions
• Absence of local thermal equilibrium in two models of heat conduction
• Finite Heat conduction in 2D Lattices
• One dimensional heat conductivity exponent from random collision model
• Temperature Profiles in Hamiltonian Heat Conduction
• Heat Conduction in Low Dimensions: From Fermi-Pasta-Ulam Chains to Single-Walled Nanotubes
• Heat conduction in 2d nonlinear lattices

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• Duality and exact correlations for a model of heat conduction
• Duality for stochastic models of transport
• Normal heat conduction in one dimensional momentum conserving lattices with asymmetric interactions
• 1D momentum-conserving systems: the conundrum of anomalous versus normal heat transport
• Crossover from ballistic to normal heat transport in the ${\varphi }^4$ lattice: If nonconservation of momentum is the reason, what is the mechanism?
• Duality and hidden equilibrium in transport models
• Self-duality of Markov processes and intertwining functions
• Modulating heat conduction by stretching or compressing
• Gallavotti-Cohen theorem, Chaotic Hypothesis and the zero-noise limit
• Heat transport in nonlinear lattices free from the Umklapp process
• Integrable heat conduction model
• Thermal conductivity in 1d: disorder-induced transition from anomalous to normal scaling
• Normal heat conduction in lattice models with asymmetry harmonic interparticle interactions
• Thermal Conduction in one dimensional ${\Phi }^4$ chains with colliding particles
• Heat transport in an ordered harmonic chain in presence of a uniform magnetic field
• Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes
• The inclusion process: duality and correlation inequalities
• Thermal transport characteristics of Fermi-Pasta-Ulam chains undergoing soft-sphere type collisions
• Energy-exchange stochastic models for non-equilibrium