On the Distribution of a Second Class Particle in the Asymmetric Simple Exclusion Process

Abstract

We give an exact expression for the distribution of the position X(t) of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin and the first class particles occupy the sites {1,2,...}.

References in corpus (3)

• Integral Formulas for the Asymmetric Simple Exclusion Process
• A Fredholm Determinant Representation in ASEP
• Exact soultion of asymmetric diffusion with second-class particles of arbitrary size

Cited by in corpus (6)

• A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
• Current moments of 1D ASEP by duality
• Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two
• Crystal Growth Inside an Octant
• Second Class Particle Behaviour in Blocking ASEP
• Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration