Speaker
Martin Evans
(University of Edinburgh)
Description
In this talk I shall review the phenomenon of real-space con-
densation wherein a finite fraction of interacting particles
moving on a lattice condense onto a single site. The
phenomenon has manifestations in a number of complex
systems e.g. clustering in granular systems and wealth
condensation in macroeconomies. The phenomenon
can be understood by considering models with particularly
simple stationary states which have a factorised form. To this
end I shall review necessary and sufficient conditions for
factorised stationary states in a simple class of models. Then
the condensation can be analysed and understood in terms of
large deviations of sums of random variables and extreme
value statistics. Finally, I shall consider generalisations such
as multiple condensates and entropy driven condensation in
systems of polydisperse hard spheres.
