Far-from-equilibrium transport with constrained resources

被引：61

作者：

Adams, D. A. ^{[1
,2
]}

Schmittmann, B. ^{[2
]}

Zia, R. K. P. ^{[2
]}

机构：

[1] Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA

[2] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2008年

基金：

美国国家科学基金会;

关键词：

driven diffusive systems ( theory); molecular motors ( theory); stationary states; traffic models;

D O I：

10.1088/1742-5468/2008/06/P06009

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页数：13

共 23 条

[1]

[Anonymous], 2001, MECH MOTOR PROTEINS

[2] Traffic of interacting ribosomes: Effects of single-machine mechanochemistry on protein synthesis [J].

Basu, Aakash ;

Chowdhury, Debashish .

PHYSICAL REVIEW E, 2007, 75 (02)

[3]

BELITZKY V, 2002, EL J PROB, V7

[4] Clustered bottlenecks in mRNA translation and protein synthesis [J].

Chou, T ;

Lakatos, G .

PHYSICAL REVIEW LETTERS, 2004, 93 (19) :198101-1

[5] Ribosome recycling, diffusion, and mRNA loop formation in translational regulation [J].

Chou, T .

BIOPHYSICAL JOURNAL, 2003, 85 (02) :755-773

[6] Statistical physics of vehicular traffic and some related systems [J].

Chowdhury, D ;

Santen, L ;

Schadschneider, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (4-6) :199-329

[7] AN EXACT SOLUTION OF A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL WITH OPEN BOUNDARIES [J].

DERRIDA, B ;

DOMANY, E ;

MUKAMEL, D .

JOURNAL OF STATISTICAL PHYSICS, 1992, 69 (3-4) :667-687

[8] An exactly soluble non-equilibrium system: The asymmetric simple exclusion process [J].

Derrida, B .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 301 (1-3) :65-83

[9] Inhomogeneous exclusion processes with extended objects: The effect of defect locations [J].

Dong, J. J. ;

Schmittmann, B. ;

Zia, R. K. P. .

PHYSICAL REVIEW E, 2007, 76 (05)

[10]

Dong JJ, 2007, J STAT PHYS, V128, P21, DOI 10.1007/S10955-006-9134-7

← 1 2 3 →