Totally asymmetric exclusion processes with particles of arbitrary size
Totally asymmetric exclusion processes with particles of arbitrary size
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DOI：
10.1088/0305-4470/36/8/302
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发表时间：
2003-02-28
期刊：
影响因子：
--
通讯作者：
Chou, T
中科院分区：
文献类型：
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作者：
Lakatos, G;Chou, T
本文利用各种平均场近似和蒙特卡罗模拟计算了一维完全不对称不相容过程（TASEP）的稳态电流和密度，其中粒子遮挡了整数个数(d)的晶格位。具有任意大小颗粒的TASEPs与mRNA翻译、囊泡沿微管运动和蛋白质沿DNA滑动等建模系统相关。我们推测，非平衡稳态特性可分为低密度、高密度和与标准（d = 1） TASEP相似的最大电流相。发现稳态粒子电流和密度的简单平均场近似是不准确的。然而，我们发现由离散的Tonks气体配分函数导出的局部平衡粒子分布在最大电流相内产生明显精确的电流。对于边界限制相，平衡Tonks气体分布不能用于预测电流、相边界或相变顺序。然而，我们采用了一种精炼的平均场方法来找到大于或等于1 TASEP的d的稳态电流、边界密度和相图的明显精确表达式。广泛的蒙特卡罗模拟执行，以支持我们的分析，平均场结果。
The steady-state currents and densities of a one-dimensional totally asymmetric exclusion process (TASEP) with particles that occlude an integer number (d) of lattice sites are computed using various mean-field approximations and Monte Carlo simulations. TASEPs featuring particles of arbitrary size are relevant for modelling systems such as mRNA translation, vesicle locomotion along microtubules and protein sliding along DNA. We conjecture that the nonequilibrium steady-state properties separate into low-density, high-density, and maximal current phases similar to those of the standard (d = 1) TASEP. A simple mean-field approximation for steady-state particle currents and densities is found to be inaccurate. However, we find local equilibrium particle distributions derived from a discrete Tonks gas partition function yield apparently exact currents within the maximal current phase. For the boundary-limited phases, the equilibrium Tonks gas distribution cannot be used to predict currents, phase boundaries, or the order of the phase transitions. However, we employ a refined mean-field approach to find apparently exact expressions for the steady-state currents, boundary densities, and phase diagrams' of the d greater than or equal to 1 TASEP. Extensive Monte Carlo simulations are performed to support our analytic, mean-field results.