Effective long-range interactions in driven non-equilibrium systems

Driven systems with conserving dynamics tend to exhibit long-range correlations, resulting from the non detailed balance nature of the dynamics. Such correlations can sometimes be expressed by effective long-range interactions, even in cases where the the dynamics is local. On the other hand studies of systems with long-range interactions have demonstrated that they exhibit some unusual properties, such as inequivalence of statistical ensembles and slow relaxation processes, with diverging characteristic time with the system size. Such features in driven systems with local dynamics will be demonstrated, and the interplay between non-equilibrium systems and those with long range interactions will be discussed.