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