The second class particle process at shocks
Stochastic Processes and their Applications, ISSN: 0304-4149, Vol: 170, Page: 104298
2024
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
We consider the totally asymmetric simple exclusion process (TASEP) starting with a shock discontinuity at the origin, with asymptotic densities λ to the left of the origin and ρ to the right of it and λ<ρ. We find an exact identity for the distribution of a second class particle starting at the origin. Then we determine the limiting joint distributions of the second class particle. Bypassing the last passage percolation model, we work directly in TASEP, allowing us to extend previous one-point distribution results via a more direct and shorter ansatz.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0304414924000048; http://dx.doi.org/10.1016/j.spa.2024.104298; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85183016497&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0304414924000048; https://dx.doi.org/10.1016/j.spa.2024.104298
Elsevier BV
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