paper

Lattice field theories with an energy current

arXiv:cond-mat/9907112 · doi:10.1016/S0550-3213(99)00567-2

Abstract

We investigate a lattice scalar field theory in the presence of a bias favouring the establishment of an energy current, as a model for stationary nonequilibrium processes at low temperature in a non-integrable system. There is a transition at a finite value of the bias to a gapless modulated phase which carries a classical current; however, unlike in similar, integrable, models, quantum effects also allow for a non-zero current at arbitrarily small bias. The transition is second order in the magnetically disordered phase, but is pre-empted by a first-order transition in the ferromagnetic case, at least at the mean-field level.

19 pages, LaTeX, 3 postscript figures

References in corpus (1)

Cited by in corpus (5)