# 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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