Self-Duality for the Two-Component Asymmetric Simple Exclusion Process

@article{Belitsky2015SelfDualityFT,
  title={Self-Duality for the Two-Component Asymmetric Simple Exclusion Process},
  author={Vladimir Belitsky and G.M.Schutz},
  journal={arXiv: Probability},
  year={2015}
}
We study a two-component asymmetric simple exclusion process (ASEP) that is equivalent to the ASEP with second-class particles. We prove self-duality with respect to a family of duality functions which are shown to arise from the reversible measures of the process and the symmetry of the generator under the quantum algebra $U_q[\mathfrak{gl}_3]$. We construct all invariant measures in explicit form and discuss some of their properties. We also prove a sum rule for the duality functions. 
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We consider a two-component asymmetric simple exclusion process (ASEP) on a finite lattice with reflecting boundary conditions. For this process, which is equivalent to the ASEP with second-class
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