The second class particle in the half-line open TASEP

Fuente: arXiv
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Autor principal: Chen, Kailun
Formato: Preprint
Publicado: 2024
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author Chen, Kailun
author_facet Chen, Kailun
contents We consider the second class particle in half-line open TASEP under two different initial conditions with shock discontinuities. The exact formulas for the distribution of the second class particle can be derived by using the color-position symmetry theorem of colored half-space TASEP. We study the asymptotic distribution of second class particles under the constant scaling and KPZ-type scaling.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00554
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The second class particle in the half-line open TASEP
Chen, Kailun
Probability
Mathematical Physics
Combinatorics
We consider the second class particle in half-line open TASEP under two different initial conditions with shock discontinuities. The exact formulas for the distribution of the second class particle can be derived by using the color-position symmetry theorem of colored half-space TASEP. We study the asymptotic distribution of second class particles under the constant scaling and KPZ-type scaling.
title The second class particle in the half-line open TASEP
topic Probability
Mathematical Physics
Combinatorics
url https://arxiv.org/abs/2409.00554