Аннотация:We introduce and analyze two general dynamical models for unidirectional movement of particles
along a circular chain and an open chain of sites. The models include a soft version of the simple
exclusion principle, that is, as the density in a site increases the effective entry rate into this site
decreases. This allows one to model and study the evolution of “traffic jams” of particles along
the chain. A unique feature of these two new models is that each site along the chain can have a
different size.