Classical $φ^4$ Lattice Field Theory in Strong Thermal Gradients

Details Classical $φ^4$ Lattice Field Theory in Strong Thermal Gradients Classical $φ^4$ Lattice Field Theory in Strong Thermal Gradients

1999-11-22

arxiv.org/abs/hep-ph/9911430v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4pp, 4 figs, Talk given by K.A. at the Thermal Field Theory Conference, Kyoto, August 1999

Scientific paper

The dynamics of classical $\phi^4$ theory under weak and strong thermal gradients is studied. We obtain the thermal conductivity of the theory including its temperature dependence. Under moderately strong thermal gradients, the temperature profiles become visibly non-linear, yet the phenomenon can be understood using the linear response theory. When we move further away from equilibrium, we find that the linear response theory eventually breaks down, and the concept of local equilibrium also fails.

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