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 language | English |
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Article number | 095601 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 49 |
Issue number | 9 |
DOIs | |
State | Published - 21 Jan 2016 |
Keywords
- driven diffusive systems
- lattice gas
- molecular motors
- phase diagrams
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Statistics and Probability
- Mathematical Physics
- Modelling and Simulation