Lattice field theories with an energy current

Journal article

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.

Authors: Cardy, J; Suranyi, P

• Publication status: Published
• Journal: Nucl.Phys. B
• Volume: 565
• Issue: 3
• Pages: 487-505
• Publication date: 1999-07-08
• DOI: 10.1016/S0550-3213(99)00567-2
• ISSN: 0550-3213
• Language: English
• Keywords: cond-mat.stat-mech; hep-ph