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http://hdl.handle.net/2289/4206| Title: | Bidirectional transport in a multispecies totally asymmetric exclusion-process model |
| Authors: | Muhuri, Sudipto Shagolsem, Lenin Rao, Madan |
| Issue Date: | Sep-2011 |
| Publisher: | The Americal Physical Society |
| Citation: | Physical Review E, 2011, Vol.84, 031921 |
| Abstract: | We study a minimal lattice model which describes bidirectional transport of “particles” driven along a onedimensional track, as is observed in microtubule based, motor protein driven bidirectional transport of cargo vesicles, lipid bodies, and organelles such asmitochondria. Thisminimal model, a multispecies totally asymmetric exclusion process (TASEP) with directional switching, can provide a framework for understanding the interplay between the switching dynamics of individual particles and the collectivemovement of particles in one dimension. When switching is much faster than translocation, the steady-state density and current profiles of the particles are homogeneous in the bulk and are well described by mean-field (MF) theory, as determined by comparison to a Monte Carlo simulation. In this limit, we can map this model to the exactly solvable partially asymmetric exclusion-process (PASEP) model. Away from this fast switching regime the MF theory fails, although the average bulk density profile still remains homogeneous. We study the steady-state behavior as a function of the ratio of the translocation and net switching rates Q and find a unique first-order phase transition at a finite Q associated with a discontinuous change of the bulk density.When the switching rate is decreased further (keeping translocation rate fixed), the system approaches a jammed phase with a net current that tends to zero as J ∼ 1/Q. We numerically construct the phase diagram for finite Q. |
| Description: | Open Access |
| URI: | http://hdl.handle.net/2289/4206 |
| ISSN: | 1539-3755 1550-2376 (Online) |
| Alternative Location: | http://adsabs.harvard.edu/abs/2011PhRvE..84c1921M http://dx.doi.org/10.1103/PhysRevE.84.031921 |
| Copyright: | 2011 The American Physical Society |
| Appears in Collections: | Research Papers (SCM) |
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|---|---|---|---|---|
| 2011_PhysRevE_V84_p031921.pdf Restricted Access | Restricted access | 355.31 kB | Adobe PDF | View/Open Request a copy |
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