Far-from-equilibrium transport with constrained resources

Abstract

The totally asymmetric simple exclusion process (TASEP) is a well studied example of far-from-equilibrium dynamics. Here, we consider a TASEP with open boundaries but impose a global constraint on the total number of particles. In other words, the boundary reservoirs and the system must share a finite supply of particles. Using simulations and analytic arguments, we obtain the average particle density and current of the system, as a function of the boundary rates and the total number of particles. Our findings are relevant to biological transport problems if the availability of molecular motors becomes a rate-limiting factor.

14 pages, 7 figures, uses iopart12.clo and iopart.cls

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• Far-from-equilibrium transport with constrained resources
• Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
• Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion
• Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
• Matrix Ansatz for the Fluctuations of the Current in the ASEP with Open Boundaries
• Motor proteins traffic regulation by supply-demand balance of resources
• Multiple phase transitions in a system of exclusion processes with limited reservoirs of particles and fuel carriers
• Limited Resources Induce Bistability in Microtubule Length Regulation
• Interplay between finite resources and local defect in an asymmetric simple exclusion process
• Asymmetric exclusion processes with fixed resources: Reservoir crowding and steady states
• Dynamical phase transition of a 1D transport process including death
• Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process
• Density-feedback control in traffic and transport far from equilibrium
• Competition for finite resources
• Exclusion Process on two intersected lanes with constrained resources: Symmetry breaking and shock dynamics
• Exact Large Deviations of the Current in the Asymmetric Simple Exclusion Process with Open Boundaries
• Velocity control for improving flow through a bottleneck
• Self-organized system-size oscillation of a stochastic lattice-gas model
• Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice
• Reservoir crowding in a totally asymmetric simple exclusion process with Langmuir Kinetics
• Realization of the open-boundary totally asymmetric simple exclusion process on a ring
• Power spectra of TASEPs with a localized slow site
• Exclusion process subject to conformational size changes
• A Model for Competition for Ribosomes in the Cell