D A Adams et al J. Stat. Mech. (2008) P06009 doi:10.1088/1742-5468/2008/06/P06009
D A Adams1,2, B Schmittmann2 and R K P Zia2
Show affiliationsThe 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.
E-print Number: 0804.2717
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Refers: to
92B15 General biostatistics (See also 62P10)
Issue 06 (June 2008)
Received 17 April 2008, accepted for publication 16 May 2008
Published 19 June 2008
D A Adams et al J. Stat. Mech. (2008) P06009
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