Theory And Simulation Of Self Driving Particle System With Jump Behavior

Self driven particle system is a kind of simple and representative model to study non-equilibrium system.The common form of this kind of model is asymmetric exclusive process.In order to study the traffic phenomena in people’s daily life and some behaviors of material transportation in organisms,we usually abstract the research object as particles,set different simulation environment and particle motion rules,and establish corresponding models for simulation research.In order to study the particle motion phenomenon found in the molecular motor experiment,this paper first proposes a one-way self driving particle jumping model.On the one-dimensional lattice chain,particles can move forward in two ways: forward and jump.The system flow rate under the corresponding parameters is obtained by computer simulation,and the accuracy of the model is determined by analyzing the equations and demonstrating the results.Next,the forward mode of particles in the unidirectional self driving particle jumping model is changed to be able to move left and right,and the particle exchange rule is added to simulate the process of molecular transmembrane transport in the organism.The simulation analysis shows the effect of exchange and jump parameters on the system flow rate in the model,and the following conclusions are drawn:(1)The closer the ratio of the two particles is,the greater the system flow rate is.(2)When the density is in the middle region(0.3 < < 0.8),the higher the probability of particle jumping,the greater the system flow rate.(3)The larger the exchange probability of oppositional particles is,the larger the system flow rate is,and the flow rate density curve changes from non monotonic to monotonic.(4)There is no hysteresis in the system.Finally,the boundary conditions in the above two models are changed to open conditions,that is,particles can jump in or out of the system from the two ends of the lattice chain.Under such model settings,the number of particles in the system changes and is no longer a fixed value.Through computer simulation,we conclude that the particle exchange jump model with open boundary conditions has the following conclusions:(1)Particle exchange probability determines the maximum value of particle flow rate in the system.The larger the exchange probability is,the greater the system flow rate is.(2)The flow rate of the system increases with the increase of the particle advance probability.(3)When the number of particles in the system is small,increasing the jump probability of particles can increase the system flow rate.