2014/03/12 by Yuqing Wang, Yu-Qing Wang, Rui Jiang +3
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods
paper · doi:10.1142/s021798491450064x
This paper studies the periodic one-dimensional exclusion processes constituted by totally asymmetric simple exclusion process (TASEP) and two-lane simple exclusion processes (SEP). TASEP and SEP compete with each other. Complemented by Monte Carlo simulations, mean-field analysis has been performed. Varying current splitting parameter θ, diffusivity rate D 1 (or D 2 ) and the global particle density n p , we have studied phase diagrams, typical density profiles and current diagrams.