Non-Equilibrium Steady States and Transport in the Classical Lattice $φ^4$ Theory

Details Non-Equilibrium Steady States and Transport in the Classical Lattice $φ^4$ Theory Non-Equilibrium Steady States and Transport in the Classical Lattice $φ^4$ Theory

1999-11-21

arxiv.org/abs/hep-ph/9911428v1

Phys.Lett. B477 (2000) 348-354

Physics

High Energy Physics

High Energy Physics - Phenomenology

7pp, 4 figs

Scientific paper

10.1016/S0370-2693(00)00189-1

We study the classical non-equilibrium statistical mechanics of scalar field theory on the lattice. Steady states are analyzed near and far from equilibrium. The bulk thermal conductivity is computed, including its temperature dependence. We examine the validity of linear response predictions, as well as properties of the non-equilibrium steady state. We find that the linear response theory applies to visibly curved temperature profiles as long as the thermal gradients are not too strong. We also examine the transition from local equilibrium to local non-equilibrium.

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