Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states

Abstract

We investigate the delocalization transition appearing in an exclusion process with two internal states resp. on two parallel lanes. At the transition, delocalized domain walls form in the density profiles of both internal states, in agreement with a mean-field approach. Remarkably, the topology of the system's phase diagram allows for the delocalization of a (localized) domain wall when approaching the transition. We quantify the domain wall's delocalization close to the transition by analytic results obtained within the framework of the domain wall picture. Power-law dependences of the domain wall width on the distance to the delocalization transition as well as on the system size are uncovered, they agree with numerical results.

10 pages, 5 figures

References in corpus (9)

• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Traffic of molecular motors through tube-like compartments
• Traffic jams induced by rare switching events in two-lane transport
• Dynamic correlation functions and Boltzmann Langevin approach for driven one dimensional lattice gas
• Weakly coupled, antiparallel, totally asymmetric simple exclusion processes
• Anomalous nucleation far from equilibrium
• Traffic of single-headed motor proteins KIF1A: effects of lane changing
• Will jams get worse when slow cars move over?