带交换和跳跃的一维双向自驱动系统的仿真研究

Simulation of One-dimensional Bidirectional Self-driving System with Switching and Jumping

自驱动粒子系统在生物系统、交通运输系统领域具有广泛的应用价值。本文提出了一维双向自驱动粒子模型,在模型中考虑粒子的跳跃、粒子间的换位等行为。运用模拟仿真方法分别讨论了左右向移动的粒子密度比、换位概率、跳跃率对系统流量的影响,结果表明:两种粒子的比例越接近,系统流率越大;在密度位于中段区域时(0.3<ρ<0.8),粒子跳跃概率越高,系统流率就越大;对向粒子交换概率越大,系统流率越大,流率-密度曲线由非单调转变为单调递增;系统没有出现回滞现象。这些研究结果有助于理解非平衡态系统的一些重要性质。

Self-driven particle system has wide application in the field of biological system and transportation system.In this paper,a one-dimensional two-way self-driven particle model is proposed,in which the jumping and transposition of particles are considered.Through the simulation,the influence is discussed,such as of the left and right moving particle density ratio,transposition probability and jump rate on the system flow.The results are shown as followsing.The closer the ratio of the two particles is,the greater the system flow rate is.When the density is in the middle region(0.3<ρ<0.8),the higher the probability of particle hopping,the greater the system flow rate.The higher the probability of opposite particle exchange is,the greater the system flow rate is,and the flow rate density curve changes from non-monotonic to monotonic increasing.There is no hysteresis in the system.The results are helpful to understand some important properties of non-equilibrium systems.