Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries

Abstract

We derive the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process with the most general open boundary conditions. For totally asymmetric diffusion we calculate the spectral gap, which characterizes the approach to stationarity at large times. We observe boundary induced crossovers in and between massive, diffusive and KPZ scaling regimes.

4 pages, 2 figures, published version

References in corpus (2)

• Dynamic correlation functions and Boltzmann Langevin approach for driven one dimensional lattice gas
• The Asymmetric Avalanche Process

Cited by in corpus (8)

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• Inhomogeneous exclusion processes with extended objects: The effect of defect locations
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• Non-equilibrium processes: driven lattice gases, interface dynamics, and quenched disorder effects on density profiles and currents
• Scaling properties of the asymmetric exclusion process with long-range hopping
• Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries
• From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation