Wang Yu-Qing, Wang Ji-Xin, Li Wan-He, Zhou Chao-Fan, Jia Bin
School of Mechanical Engineering, Hefei University of Technology, Hefei, 230009, China.
MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing, 100044, China.
Sci Rep. 2018 Nov 2;8(1):16287. doi: 10.1038/s41598-018-34579-1.
Totally asymmetric simple exclusion process (namely, TASEP) is one of the most vital driven diffusive systems, which depicts stochastic dynamics of self-driven particles unidirectional updating along one-dimensional discrete lattices controlled by hard-core exclusions. Different with pre-existing results, driven diffusive system composed by multiple TASEPs with asymmetric heterogeneous interactions under two-dimensional periodic boundaries is investigated. By using detailed balance principle, particle configurations are extensively studied to obtain universal laws of characteristic order parameters of such stochastic dynamic system. By performing analytical analyses and Monte-Carlo simulations, local densities are found to be monotone increase with global density and spatially homogeneous to site locations. Oppositely, local currents are found to be non-monotonically increasing against global density and proportional to forward rate. Additionally, by calculating different cases of topologies, changing transition rates are found to have greater effects on particle configurations in adjacent subsystems. By intuitively comparing with pre-existing results, the improvement of our work also shows that introducing and considering totally heterogeneous interactions can improve the total current in such multiple TASEPs and optimize the overall transport of such driven-diffusive system. Our research will be helpful to understand microscopic dynamics and non-equilibrium dynamical behaviors of interacting particle systems.
完全非对称简单排斥过程（即TASEP）是最重要的驱动扩散系统之一，它描述了自驱动粒子在硬核排斥控制下沿一维离散晶格单向更新的随机动力学。与现有结果不同，研究了在二维周期性边界下由具有非对称异质相互作用的多个TASEP组成的驱动扩散系统。通过使用细致平衡原理，对粒子构型进行了广泛研究，以获得这种随机动力系统特征序参量的普遍规律。通过进行解析分析和蒙特卡罗模拟，发现局部密度随全局密度单调增加且在空间上与格点位置均匀。相反，发现局部电流相对于全局密度非单调增加且与向前速率成正比。此外，通过计算不同拓扑情况，发现改变跃迁速率对相邻子系统中的粒子构型有更大影响。通过与现有结果直观比较，我们工作的改进还表明，引入并考虑完全异质相互作用可以提高这种多个TASEP中的总电流，并优化这种驱动扩散系统的整体输运。我们的研究将有助于理解相互作用粒子系统的微观动力学和非平衡动力学行为。
