Far-from-equilibrium transport with constrained resources
Statistical Mechanics
2008-07-02 v2
Abstract
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.
Cite
@article{arxiv.0804.2717,
title = {Far-from-equilibrium transport with constrained resources},
author = {D. A. Adams and B. Schmittmann and R. K. P. Zia},
journal= {arXiv preprint arXiv:0804.2717},
year = {2008}
}
Comments
14 pages, 7 figures, uses iopart12.clo and iopart.cls