Transport of particles caused by correlated disorder–noise couplings

In this paper, we study transport of particles for spatially periodic systems with correlated disorder–noise couplings, using two models, i.e., a model with a spatially symmetric potential and a model with a spatially asymmetric potential. For the first model, the nonzero current appears with symmetry breaking, which is caused by the correlation between two disorder–noise couplings. For the second model, the nonzero net flux with symmetry breaking is induced by a joint action of the correlated disorder–noise couplings and the spatial asymmetry of the potential.