Title: Zero-range processes with applications to transport in random 
media


Abstract: Zero-range processes are perhaps the simplest models for 
transport of interacting particles. Their stationary states are 
analytically tractable and hydrodynamic descriptions for the dynamics can be 
established with mathematical rigour. Yet they capture some fundamental 
features of nonequilibrium systems and have therefore served as a 
testing ground for general theories concerning nonequilibrium stationary 
states.

In this talk, a short introduction to zero-range processes is given. The
basic features such as condensation transitions and equivalence of
ensembles are briefly discussed. The main emphasis is in an application 
to boundary driven transport in disordered one-dimensional media. For 
this particular case, a quantitative analysis of stationary density 
profiles is presented and formulas for functionals of tagged particle paths are 
given.