Far-from-equilibrium transport with constrained resources

Details Far-from-equilibrium transport with constrained resources Far-from-equilibrium transport with constrained resources

2008-04-17

arxiv.org/abs/0804.2717v2

J. Stat. Mech. (2007) P06009

Physics

Condensed Matter

Statistical Mechanics

14 pages, 7 figures, uses iopart12.clo and iopart.cls

Scientific paper

10.1088/1742-5468/2008/06/P06009

The totally asymmetric simple exclusion process (TASEP) is a well studied example of far-from-equilibrium dynamics. Here, we consider a TASEP with open boundaries but impose a global constraint on the total number of particles. In other words, the boundary reservoirs and the system must share a finite supply of particles. Using simulations and analytic arguments, we obtain the average particle density and current of the system, as a function of the boundary rates and the total number of particles. Our findings are relevant to biological transport problems if the availability of molecular motors becomes a rate-limiting factor.

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