Work

The Second-Class Particle in the Half-Line Open Totally Asymmetric Simple Exclusion Process

Year: 2026

Type: article

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.

Source: Journal of Theoretical Probability

DOI: 10.1007/s10959-026-01544-y

Author: Kailun Chen

Institution: Leipzig University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: HORIZON EUROPE European Research Council