Driven diffusive systems with mutually interactive Langmuir kinetics

Abstract

We investigate the simple one-dimensional driven model, the totally asymmetric exclusion process, coupled to mutually interactive Langmuir kinetics. This model is motivated by recent studies on clustering of motor proteins on microtubules. In the proposed model, the attachment and detachment rates of a particle are modified depending upon the occupancy of neighbouring sites. We first obtain continuum mean-field equations and in certain limiting cases obtain analytic solutions. We show how mutual interactions increase (decrease) the effects of boundaries on the phase behavior of the model. We perform Monte Carlo simulations and demonstrate that our analytical approximations are in good agreement with the numerics over a wide range of model parameters. We present phase diagrams over a selective range of parameters.

9 pages, 8 Figures

References in corpus (7)

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• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
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Cited by in corpus (8)

• Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
• Crowding and pausing strongly affect dynamics of kinesin-1 motors along microtubules
• Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics
• On-site residence time in a driven diffusive system: violation and recovery of mean-field
• Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics
• Dynamics of relaxation to a stationary state for interacting molecular motors
• Particle creation and annihilation in an exclusion process on networks
• Critical dynamics of non-conserved strongly anisotropic permutation symmetric three-vector model