Multilane Driven Diffusive Systems

Agnese Curatolo, Martin R. Evans, Yariv Kafri, Julien Tailleur

Research output: Contribution to journalArticlepeer-review

Abstract

We consider networks made of parallel lanes along which particles hop according to driven diffusive dynamics. The particles also hop transversely from lane to lane, hence indirectly coupling their longitudinal dynamics. We present a general method for constructing the phase diagram of these systems which reveals that in many cases their physics reduce to that of single-lane systems. The reduction to an effective single-lane description legitimizes, for instance, the use of a single TASEP to model the hopping of molecular motors along the many tracks of a single microtubule. Then, we show how, in quasi-2D settings, new phenomena emerge due to the presence of non-zero transverse currents, leading, for instance, to strong 'shear localization' along the network
Original languageEnglish
Article number095601
Number of pages31
JournalJournal of Physics A: Mathematical and Theoretical
Volume49
Issue number9
DOIs
Publication statusPublished - 21 Jan 2016

Keywords

  • lattice gas
  • driven diffusive systems
  • phase diagrams
  • molecular motors
  • ASYMMETRIC EXCLUSION MODEL
  • OPEN BOUNDARIES
  • TRAFFIC JAMS
  • MICROTUBULES
  • MOTORS
  • TRANSPORT

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