Exclusion in Junction Geometries

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 $\alpha$ for each road, the two roads merge into one, and particles are extracted from the single output road at rate $\beta$.

arXiv comment7 pages, 7 figures, revtex format. Version 2: Some references and introductory sentences added. Version 3: various minor errors corrected; to appear in PRE

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Cited by in corpus (1)

• Particle creation and annihilation in an exclusion process on networks