 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Dr. Ali Zahra
Lissabon
spricht am
Dienstag, 23. Juli 2024
um
11:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We study the behavior of a single impurity particle embedded at the interface separating two density regions of the Totally Asymmetric Simple Exclusion Process (TASEP). This impurity can be considered a generalization of the second-class particle, where the two hopping parameters are now arbitrary. We explore its macroscopic impact on the overall system and its own trajectory, offering new insights into the interplay between the impurity and the TASEP environment. We classify the induced hydrodynamic limit shapes based on the initial left and right densities, as well as the hopping parameters. Using a novel coupling tool, we extend, under certain parameter conditions, Ferrari and Kipnis’s known results on the asymptotic speed of a second-class particle in the rarefaction fan to the context of the impurity. We report numerical evidence of a departure from the uniform distribution of speeds under different parameter sets. As a by-product of our formalism, we provide a new, simple proof of the expression of the speed of the impurity in a uniform environment, obtained by K. Mallick and B. Derrida previously only through integrable techniques. This is a joint work with Luigi Cantini |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Stefan Großkinsky |