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arXiv · 2409.00554

The second class particle in the half-line open TASEP

Kailun Chen
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Abstract

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.

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Kailun Chen. 2024-08-31. The second class particle in the half-line open TASEP. https://arxiv.org/abs/2409.00554

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