Theoretical analysis reveals exact distributions of second-class particles in half-line open TASEP, highlighting asymptotic behaviors across distinct scaling regimes.
We consider the second-class particle in half-line open totally asymmetric exclusion process (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 distributions of second-class particles under the constant scaling and Kardar–Parisi–Zhang-type scaling.
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Kailun Chen (2026) studied this question.
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