Generalized TASEP on open chains with a modified injection condition

2022/12/03 by A. M. Povolotsky, Povolotsky, A. M., N. C. Pesheva +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2212.01622

openalex publication_date 2022/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report here our preliminary results in the study of a new version of the generalized Totally Asymmetric Simple Exclusion process (gTASEP) on open tracks. In the gTASEP an additional interaction between the particles is considered, besides the hard-core exclusion, which exists in the standard TASEP. It is modeled by the introduction of a second hopping probability p_m for the particles, belonging to the same cluster, in addition to the standard hopping probability p, which now applies only for single particles and the head (rightmost) particle of a cluster. We briefly describe how one can obtain analytically solvable version of gTASEP by modifying the left (injection) boundary condition. A short comparison is made with the previously studied version of gTASEP on open tracks.

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