We review recent progress on the zero-range process, a model of interacting particles which
hop between the sites of a lattice with rates that depend on the occupancy of the departure …

Mathematical models of motility are often based on random-walk descriptions of discrete
individuals that can move according to certain rules. It is usually the case that large masses …

Single clusters in a vibro-fluidized granular gas in N connected compartments become
unstable at strong shaking. They are experimentally shown to collapse very abruptly. The …

The spontaneous clustering of a vibrofluidized granular gas is employed to generate
directed transport in two different compartmentalized systems: a granular fountain in which …

We introduce an urn model that describes spatial separation of sand. In this dynamical
model, in a certain range of parameters spontaneous symmetry breaking takes place and …

A bidisperse granular gas in a compartmentalized system is experimentally found to cluster
competitively: Depending on the shaking strength, the clustering can be directed either …

The dissipation rate due to inelastic collisions between equally charged, insulating particles
in a granular gas is calculated. It is equal to the known dissipation rate for uncharged …

The main characteristic of a granular gas, which makes it fundamentally different from
ordinary molecular gases, is its tendency to form clusters, ie to spontaneously separate into …

Oscillatory phenomena of compartmentalized bidisperse granular gases are studied through
experiments, molecular dynamics simulations, and a flux model [Mikkelsen, Phys. Rev. E 70 …

We study coarsening in a simplified model of one-dimensional thin films of viscous fluids on
hydrophobic substrates. Lubrication theory shows that such films are unstable and dewet to …