Bulk properties of anharmonic chains in strong thermal gradients: non-equilibrium \(\phi^4\) theory

DOI10.1016/S0375-9601(99)00899-3zbMath0940.82043arXivchao-dyn/9910015MaRDI QIDQ1569513

Kenichiro Aoki, Dimitri Kusnezov

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9910015

zbMATH Keywords

nonequilibrium temperaturebulk thermal conductivityone-dimensional lattice Hamiltonianquartic interactions in strong thermal gradients

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (16)

Nosé–Hoover nonequilibrium dynamics and statistical mechanics ⋮ Energy transport in weakly anharmonic chains ⋮ Hydrodynamics and transport in the long-range-interacting φ ⁴ chain ⋮ Time-reversible deterministic thermostats ⋮ Ising chain: thermal conductivity and first-principle validation of Fourier's law ⋮ Energy super-diffusion in 1d deterministic nonlinear lattices with broken standard momentum ⋮ Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain ⋮ Anomalous transport in low-dimensional systems: a pedagogical overview ⋮ Thermal transport properties of one-dimensional \(\Phi^4\) chains with colliding particles ⋮ Dynamics of Oscillator Chains ⋮ The second law of thermodynamics and multifractal distribution functions: bin counting, pair correlations, and the Kaplan-Yorke conjecture ⋮ Thermal parameter identification for non-Fourier heat transfer from molecular dynamics ⋮ The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal ⋮ Nonequilibrium statistical mechanics of classical lattice \(\Phi^4\) field theory ⋮ Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states ⋮ Effective approach for anharmonic chains of oscillators: analytical description of negative differential thermal resistance

Cites Work

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• Canonical ensembles from chaos
• Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
• Chaos, Scattering and Statistical Mechanics
• Hamiltonian dynamics of the two-dimensional lattice model
• Fourier’s law and the Green-Kubo formula in a cellular-automaton model
• Role of Low-Energy Phonons in Thermal Conduction

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