2025/10/31 by Yashina, Marina V., Tatashev, Alexander G.
#FOS: Mathematics #FOS: Physical sciences #G.1.2 #Optimization and Control (math.OC) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2511.00128
A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a vacant site and the probability that a particle occupying the rightmost site departs the system. An approximate approach to compute the particle flow rate and density in sites is proposed. A version of the approach is proposed for an analogous continuous-time process. The accuracy of the approximation is estimated. The approach can be used in traffic models and models of statistical physics.