284 research outputs found

    Bulk Properties of Anharmonic Chains in Strong Thermal Gradients: Non-Equilibrium ϕ4\phi^4 Theory

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    We study nonequilibrium properties of a one-dimensional lattice Hamiltonian with quartic interactions in strong thermal gradients. Nonequilibrium temperature profiles, T(x), are found to develop significant curvature and boundary jumps. From the determination of the bulk thermal conductivity, we develop a quantitative description of T(x) including the jumps.Comment: 14pp, 5 fig

    Non-Equilibrium Statistical Mechanics of Classical Lattice ϕ4\phi^4 Field Theory

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    Classical ϕ4\phi^4 theory in weak and strong thermal gradients is studied on the lattice in (1+1) dimensions. Classical ϕ4\phi^4 theory in weak and strong thermal gradients is studied on the lattice in (1+1) dimensions. The steady state physics of the theory is investigated from first principles and classified into dynamical regimes. We derive the bulk properties associated with thermal transport, and explore in detail the non-equilibrium statistical mechanics of the theory as well as connections to equilibrium and irreversible thermodynamics. Linear response predictions are found to be valid for systems quite far from equilibrium and are seen to eventually break down simultaneously with local equilibrium.Comment: 28 pages, 20 fig
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