Dynamic boundaries in asymmetric exclusion processes.
Dynamic boundaries in asymmetric exclusion processes.
复制标题
不对称排除过程中的动态边界。
DOI：
10.1103/physreve.76.031135
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Chou,Tom
中科院分区：
文献类型：
--
作者：
Nowak,SarahA;Fok,Pak-Wing;Chou,Tom
我们研究了一维具有朗缪尔动力学和波动壁的非对称排斥过程的动力学。在左侧边界，粒子被注入晶格；从那里，粒子跳到右侧。沿着晶格，粒子可以吸附或解吸，右边的边界由一个壁粒子定义。围墙颗粒具有固有的向前和向后跳跃，净向左漂移，不能解吸。通过蒙特卡罗模拟，采用与平均场理论相结合的移动框架有限段方法，我们得到了墙体达到稳态位置时的参数区间。在其他情况下，壁会向左漂移，并在注入点处从晶格上脱落，或者无限向右漂移。我们的结果是在系统的非平衡相、波动边界层以及实验室框架和波动墙框架中的粒子密度的背景下讨论的。
We investigate the dynamics of a one-dimensional asymmetric exclusion process with Langmuir kinetics and a fluctuating wall. At the left-hand boundary, particles are injected onto the lattice; from there, the particles hop to the right. Along the lattice, particles can adsorb or desorb, and the right-hand boundary is defined by a wall particle. The confining wall particle has intrinsic forward and backward hopping, a net leftward drift, and cannot desorb. Performing Monte Carlo simulations and using a moving-frame finite segment approach coupled to mean field theory, we find the parameter regimes in which the wall acquires a steady-state position. In other regimes, the wall will either drift to the left and fall off the lattice at the injection site, or drift indefinitely to the right. Our results are discussed in the context of nonequilibrium phases of the system, fluctuating boundary layers, and particle densities in the laboratory frame versus the frame of the fluctuating wall.