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

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• Dynamics at barriers in bidirectional two-lane exclusion processes
• Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
• Generic nonequilibrium steady states in an exclusion process on an inhomogeneous ring
• Steady states and phase transitions in heterogeneous asymmetric exclusion processes
• Exact domain wall theory for deterministic TASEP with parallel update
• Phase transition and phase coexistence in coupled rings with driven exclusion process
• Nonequilibrium steady states in coupled asymmetric and symmetric exclusion processes