Exact solution of a 1d asymmetric exclusion model using a matrix formulation

@article{Derrida1993ExactSO,
  title={Exact solution of a 1d asymmetric exclusion model using a matrix formulation},
  author={Bernard Derrida and Martin R Evans and Vincent Hakim and Vincent Pasquier},
  journal={Journal of Physics A},
  year={1993},
  volume={26},
  pages={1493-1517}
}
Several recent works have shown that the one-dimensional fully asymmetric exclusion model, which describes a system of particles hopping in a preferred direction with hard core interactions, can be solved exactly in the case of open boundaries. Here the authors present a new approach based on representing the weights of each configuration in the steady state as a product of noncommuting matrices. With this approach the whole solution of the problem is reduced to finding two matrices and two… 
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