Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration

Abstract

In this paper, we consider the two-species asymmetric simple exclusion process consisting of $N-1$ first-class particles and one second-class particle. We assume that the second-class particle is the rightmost particle at t=0. We provide an alternative method to Tracy and Widom's method in [J. Phys. A, 42, 425002, (2009)] to find the probability distribution of the second-class particle's position.

arXiv commentPublished version (to appear in Journal of Statistical Physics)

References in corpus (13)

• Integral Formulas for the Asymmetric Simple Exclusion Process
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Matrix representation of the stationary measure for the multispecies TASEP
• Competition interfaces and second class particles
• Matrix product solution of the multispecies partially asymmetric exclusion process
• The motion of a second class particle for the tasep starting from a decreasing shock profile
• On the asymmetric simple exclusion process with multiple species
• Determinant representation for some transition probabilities in the TASEP with second class particles
• KPZ statistics of second class particles in ASEP via mixing
• On the Distribution of a Second Class Particle in the Asymmetric Simple Exclusion Process
• Distribution of a particle's position in the ASEP with the {alternating} initial condition
• Matrix product solution of a left-permeable two-species asymmetric exclusion process
• Some conditional probabilities in the TASEP with second class particles