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The Second-Class Particle in the Half-Line Open Totally Asymmetric Simple Exclusion Process
1Institute of Mathematics, Leipzig University, Augustusplatz 10, 04109 Leipzig, Germany.
Abstract:
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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