The second class particle in the half-line open TASEP

2024/08/31 by Kailun Chen, Chen, Kailun
Computer Science · #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematics, Computing, and Information Processing #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2409.00554

openalex publication_date 2024/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• The second class particle process at shocks
• Shock fluctuations in TASEP under a variety of time scalings
• Limit law of a second class particle in TASEP with non-random initial\n condition
• The motion of a second class particle for the tasep starting from a decreasing shock profile
• TASEP in half-space