Driven Transport on Parallel Lanes with Particle Exclusion and Obstruction

Abstract

We investigate a driven two-channel system where particles on different lanes mutually obstruct each others motion extending an earlier model by Popkov and Peschel [1]. This obstruction may occur in biological contexts due to steric hinderance where motor proteins carry cargos by `walking' on microtubules. Similarly, the model serves as a description for classical spin transport where charged particles with internal states move unidirectionally on a lattice. Three regimes of qualitatively different behavior are identified depending on the strength of coupling between the lanes. For small and large coupling strengths the model can be mapped to a one-channel problem, whereas a new and rich phase behavior emerges for intermediate ones. We derive an approximate but quantitatively accurate theoretical description in terms of a one-site cluster approximation, and obtain insight into the phase behavior through the current-density relations combined with an extremal-current principle. Our results are confirmed by stochastic simulations. [1] V. Popkov and I. Peschel, Phys. Rev. E 64, 026126 (2001).

12 pages, 10 figures

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Cited by in corpus (10)

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• Crowding and pausing strongly affect dynamics of kinesin-1 motors along microtubules
• Generic transport mechanisms for molecular traffic in cellular protrusions
• Phase-plane analysis of driven multi-lane exclusion models
• Stochastic modelling of collective motor protein transport through a crossing of microtubules
• Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
• Coupling driven exclusion and diffusion processes on parallel lanes: boundary induced phase transitions and boundary layers
• Correlations and transport in exclusion processes with general finite memory
• TASEP on parallel tracks: effects of mobile bottlenecks in fixed segments
• Non-local response in a lattice gas under a shear drive