3 papers
cond-mat.stat-mech2026
Hydrodynamics and boundary-induced phase transitions in the -species particle-exchange process
Gunter M. Schutz, Ali Zahra
The -species particle-exchange process (PEP()) is an exclusion process in which particles of different species exchange positions on neighbouring sites with rates chosen…
math-ph2025
Hydrodynamics of Multi-Species Driven Diffusive Systems with Open Boundaries: A Two-Tasep Study
Ali Zahra
In this short note, we review a recently developed method for analysing multi-component driven diffusive systems with open boundaries. The approach generalises the extremal-current…
cond-mat.stat-mech2024
Single impurity in the Totally Asymmetric Simple Exclusion Process
Luigi Cantini, Ali Zahra
We examine the behavior of a single impurity particle embedded within a Totally Asymmetric Simple Exclusion Process (TASEP). By analyzing the impurity's dynamics, characterized by…