Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-07-08
Nucl.Phys. B565 (2000) 487-505
Physics
Condensed Matter
Statistical Mechanics
19 pages, LaTeX, 3 postscript figures
Scientific paper
10.1016/S0550-3213(99)00567-2
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.
Cardy John
Suranyi Peter
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