Entrainment and unit velocity: Surprises in an accelerated exclusion process

Abstract

We introduce a class of distance-dependent interactions in an accelerated exclusion process (AEP) inspired by the observation of transcribing RNA polymerase speeding up when "pushed" by a trailing one. On a ring, the AEP steady state displays a discontinuous transition, from being homogeneous (with augmented currents) to phase-segregated. In the latter state, the holes appear loosely bound and move together, much like a train. Surprisingly, the current-density relation is simply $J=1-\rho$, signifying that the "hole-train" travels with \textit{unit} velocity.

5 pages, 3 figures

References in corpus (16)

• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• The totally asymmetric exclusion process with extended objects, a model for protein synthesis
• Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
• Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
• Inhomogeneous exclusion processes with extended objects: The effect of defect locations
• Towards a model for protein production rates
• Towards a model for protein production rates
• Ribosome recycling, diffusion, and mRNA loop formation in translational regulation
• Mixed population of competing TASEPs with a shared reservoir of particles
• Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
• Active Absorbing State Phase Transition Beyond Directed Percolation : A Class of Exactly Solvable Models
• Facilitated Asymmetric Exclusion
• Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
• Dynamic Singularities in Cooperative Exclusion
• Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process

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• Exclusion Processes with Avalanches
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