Non-Equilibrium Statistical Mechanics of Classical Lattice $φ^4$ Field Theory

Details Non-Equilibrium Statistical Mechanics of Classical Lattice $φ^4$ Field Theory Non-Equilibrium Statistical Mechanics of Classical Lattice $φ^4$ Field Theory

2000-02-15

arxiv.org/abs/hep-ph/0002160v1

Annals Phys. 295 (2002) 50-80

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 20 figs

Scientific paper

10.1006/aphy.2001.6207

Classical $\phi^4$ theory in weak and strong thermal gradients is studied on the lattice in (1+1) dimensions. Classical $\phi^4$ 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.

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