Student Probability/PDE Seminar: Hydrodynamics for ASEP with Open Boundaries

Seminar | February 1 | 2:10-3:30 p.m. | 891 Evans Hall

 Dan Daniel Erdmann-Pham, UC Berkeley

 Department of Mathematics

Rezakhanlou has shown that the hydrodynamic behaviour of ASEP and other attractive asymmetric particle processes on $R^d$ is governed by a class of conservation laws. That is, macroscopic particle density profiles are given by entropy solutions of these conservation laws. In this talk, we will discuss Bahadoran’s recent extension of these results to bounded domains with particle reservoirs at the boundaries, and, if time permits, implications for hydrostatics and phase transitions. No prior knowledge of particle systems or conversation laws is necessary.