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arXiv · 2212.01622

Generalized TASEP on open chains with a modified injection condition

A. M. Povolotsky·N. C. Pesheva·N. Zh. Bunzarova
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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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A. M. Povolotsky, N. C. Pesheva, N. Zh. Bunzarova. 2022-12-03. Generalized TASEP on open chains with a modified injection condition. https://arxiv.org/abs/2212.01622

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