The asymmetric simple exclusion process with non-diagonal boundary conditions
by Caley Finn
Abstract: The asymmetric simple exclusion process (ASEP) is a model describing the diffusion of hard core particles along a one-dimensional chain of sites. With periodic boundary conditions the number of particles is conserved and the spectrum of the transition matrix of this integrable system can be determined by standard bethe ansatz techniques. By introducing a non-diagonal twist matrix, the boundary conditions change to allow creation and annihilation of particles. In this talk I will describe a method of Galleas for determining the spectrum of such a system from functional relations contained in the Yang-Baxter algebra.
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