Smoothly-varying hopping rates in driven flow with exclusion

Details Smoothly-varying hopping rates in driven flow with exclusion Smoothly-varying hopping rates in driven flow with exclusion

2011-04-13

arxiv.org/abs/1104.2482v2

Physical Review E 83, 061113 (2011)

Physics

Condensed Matter

Statistical Mechanics

RevTeX 4.1, 14 pages, 9 figures (published version)

Scientific paper

10.1103/PhysRevE.83.061113

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved,in a mean field/adiabatic approximation, for a general (smooth) form of spatial rate variation. Numerical simulations of systems with hopping rates varying linearly against position (constant rate gradient), for both periodic and open boundary conditions, provide detailed confirmation of theoretical predictions, concerning steady-state average density profiles and currents, as well as open-system phase boundaries, to excellent numerical accuracy.

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