Effect of interactions for one-dimensional asymmetric exclusion processes under periodic and bath-adapted coupling environment
Effect of interactions for one-dimensional asymmetric exclusion processes under periodic and bath-adapted coupling environment
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DOI：
10.1088/1742-5468/aab022
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发表时间：
2018-04-01
影响因子：
2.4
通讯作者：
Gupta, Arvind Kumar
中科院分区：
文献类型：
--
作者：
Midha, Tripti;Kolomeisky, Anatoly B.;Gupta, Arvind Kumar
受车辆交通和运动蛋白中最近邻相互作用影响的刺激，我们研究了一维驱动的晶格气体模型，其中根据热力学概念采用最近邻粒子相互作用。结合聚类平均场分析和蒙特卡罗模拟，在开放和周期性边界条件下分析系统的非平衡稳态特性。有趣的是，电流与密度的基本图显示了一种复杂的行为，其对吸引力和弱排斥力的单峰依赖性转变为对更强排斥相互作用的双峰行为。开放系统的系统-储层耦合的具体细节对固定相有很大影响。我们使用最小和最大电流原理生成了与储层的本体自适应耦合的稳态相图。相互作用能的强度和性质对固定相的数量有显着影响。我们观察到相互作用导致相关性对系统动态特性产生强烈影响。任何两个站点之间的相关性随着站点之间距离的增加而呈指数衰减。此外，人们发现它们的排斥力是短程的，吸引力是长程的。我们的结果还表明，排斥和吸引力不对称地改变了排斥过程中相互作用粒子的动力学。
Stimulated by the effect of the nearest neighbor interactions in vehicular traffic and motor proteins, we study a 1D driven lattice gas model, in which the nearest neighbor particle interactions are taken in accordance with the thermodynamic concepts. The non-equilibrium steady-state properties of the system are analyzed under both open and periodic boundary conditions using a combination of cluster mean-field analysis and Monte Carlo simulations. Interestingly, the fundamental diagram of current versus density shows a complex behavior with a unimodal dependence for attractions and weak repulsions that turns into the bimodal behavior for stronger repulsive interactions. Specific details of system-reservoir coupling for the open system have a strong effect on the stationary phases. We produce the steady-state phase diagrams for the bulk-adapted coupling to the reservoir using the minimum and maximum current principles. The strength and nature of interaction energy has a striking influence on the number of stationary phases. We observe that interactions lead to correlations having a strong impact on the system dynamical properties. The correlation between any two sites decays exponentially as the distance between the sites increases. Moreover, they are found to be short-range for repulsions and long-range for attractions. Our results also suggest that repulsions and attractions asymmetrically modify the dynamics of interacting particles in exclusion processes.