Modeling irreversible aggregation and jam formation by a generalized TASEP
Seminars
Theory of Condensed Matter – Seminar “Statistical Mechanics”
Date and Time: Tuesday, 19 September 2017, at 4:00 PM
Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Modeling irreversible aggregation and jam formation by a generalized TASEP»
Speaker: Nadezhda Bunzarova (BLTP JINR)
Abstract:
We define and study a model of irreversible aggregation of particles in one dimension or, alternatively, jam formation on open segments of a single-lane road. The particles (cars) obey a stochastic discrete-time dynamics which is a limit case of the generalized Totally Asymmetric Simple Exclusion Process. The model exhibits three stationary phases: a many-particle one (MP), a phase with completely filled (jammed) configuration (CF), and a boundary perturbed MP+CF phase. The non-equilibrium phase transitions between these phases are studied. Analytical expressions are obtained for the local density at the chain ends, the probability of finding a completely filled configuration. By using a random walk theory, we find three different regimes of the inter-cluster gap evolution depending on the boundary conditions.