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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.00128 |
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| _version_ | 1866914127594651648 |
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| author | Yashina, Marina V. Tatashev, Alexander G. |
| author_facet | Yashina, Marina V. Tatashev, Alexander G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries Yashina, Marina V. Tatashev, Alexander G. Statistical Mechanics Optimization and Control G.1.2 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. |
| title | Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries |
| topic | Statistical Mechanics Optimization and Control G.1.2 |
| url | https://arxiv.org/abs/2511.00128 |