The second class particle in the half-line open TASEP
Probability
2025-06-27 v2 Mathematical Physics
Combinatorics
math.MP
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.
Keywords
Cite
@article{arxiv.2409.00554,
title = {The second class particle in the half-line open TASEP},
author = {Kailun Chen},
journal= {arXiv preprint arXiv:2409.00554},
year = {2025}
}
Comments
26 pages, 8 figures, Revised version incorporating referee suggestions