Exclusion processes with varying system length

par Arita Chikashi (Saarland Univ.)

mardi 6 déc. 2016, 11:00 → 12:30 Europe/Paris

Auditorium (Annecy-le-Vieux)

The totally asymmetric simple exclusion process (TASEP) is a non-equilibrium stochastic process of interacting particles on lattices. In this presentation, I would like to speak about one-dimensional TASEPs with varying system length. These models are motivated by modeling of pedestrian queues and some biological applications, e.g. microtubule dynamics by kinesin motors. In the cases of the queueing process and microtubule dynamics, exact stationary states exist, which enable us to derive dynamical phase transitions. Finally we discuss self-organizing phenomenon of localization of microtubule organizing centers in eukaryotic cells.