Year: 2019
Type: article
Abstract: We investigate the dynamics of the asymmetric exclusion process at a junction. When two input roads are initially fully occupied and a single output road is initially empty, the ensuing rarefaction wave has a rich spatial structure. The density profile also changes dramatically as the initial densities are varied. Related phenomenology arises when one road feeds into two. Finally, we determine the phase diagram of the open system, where particles are fed into two roads at rate α for each road, the two roads merge into one, and particles are extracted from the single output road at rate β.
Source: Physical review. E
Authors: Keming Zhang, P. L. Krapivsky, S. Redner
Institutions: Rice University, Boston University, Santa Fe Institute
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2925609538