TASEP with dynamic defects

I will present a model I have developed in collaboration with Philip Greulich and (more recently) with Juraj. The model is biologically motivated and is a simple extension of TASEP (totally asymmetric simple exclusion process) in which particles hopping between sites of a one-dimensional lattice can be blocked by “defects” that stochastically bind to the sites and detach from them. Despite a much more complex dynamics compared to “standard” TASEP, the model has the same phase diagram and a very similar current-density relationship. We have not found a way to solve the model exactly, but I will show the results of numerical simulations and some simple calculations that quite accurately predict various features of the model.