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Exclusion process subject to conformational size changes

by Yvan Rousset, Luca Ciandrini, Norbert Kern

Submission summary

As Contributors: Luca Ciandrini · Norbert Kern
Arxiv Link: https://arxiv.org/abs/1902.03645v1
Date submitted: 2019-02-12
Submitted by: Ciandrini, Luca
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Statistical and Soft Matter Physics

Abstract

We introduce a model for stochastic transport on a one-dimensional substrate with particles assuming different conformations during their stepping cycles. These conformations correspond to different footprints on the substrate: in order to advance, particles are subject to successive contraction and expansion steps with different characteristic rates. We thus extend the paradigmatic exclusion process, provide predictions for all regimes of these rates that are in excellent agreement with simulations, and show that the current-density relation may be affected considerably. Symmetries are discussed, and exploited. We discuss our results in the context of molecular motors, confronting a hand-over-hand and an inchworm stepping mechanism, as well as for ribosomes.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1902.03645v1 on 12 February 2019

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