The asymmetric simple exclusion process with an open boundary

Abstract

We consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles.

22 pages, 1 figure

References in corpus (3)

• The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line
• Symmetric Exclusion Process with a Localized Source
• Combinatorics of the asymmetric exclusion process on a semi-infinite lattice

Cited by in corpus (8)

• Stochastic six-vertex model in a half-quadrant and half-line open ASEP
• Pfaffian Schur processes and last passage percolation in a half-quadrant
• Half-space Macdonald processes
• Half-space stationary Kardar-Parisi-Zhang equation
• Boundary current fluctuations for the half space ASEP and six vertex model
• Current fluctuations in a semi-infinite line
• Markov duality and Bethe ansatz formula for half-line open ASEP
• Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond