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Phase diagram of two-lane driven diffusive systems | | M. R. Evans
; Y. Kafri
; K. E. P. Sugden
; J. Tailleur
; | | Date: |
24 Mar 2011 | | Abstract: | We consider a large class of two-lane driven diffusive systems in contact
with reservoirs at their boundaries and develop a stability analysis as a
method to derive the phase diagrams of such systems. We illustrate the method
by deriving phase diagrams for the asymmetric exclusion process coupled to
various second lanes: a diffusive lane; an asymmetric exclusion process with
advection in the same direction as the first lane, and an asymmetric exclusion
process with advection in the opposite direction. The competing currents on the
two lanes naturally lead to a very rich phenomenology and we find a variety of
phase diagrams. It is shown that the stability analysis is equivalent to an
’extremal current principle’ for the total current in the two lanes. We also
point to classes of models where both the stability analysis and the extremal
current principle fail. | | Source: | arXiv, 1103.4677 | | Services: | Forum | Review | PDF | Favorites | |
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