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Exact Solution of the Master Equation for the Asymmetric Exclusion Process

Gunter M. Schütz
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Abstract

Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit expressions for the conditional probabilities P(x_1, ... ,x_N;t|y_1, ... ,y_N;0) of finding N particles on lattice sites x_1, ... ,x_N at time t with initial occupation y_1, ... ,y_N at time t=0.

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Gunter M. Schütz. 1997-01-06. Exact Solution of the Master Equation for the Asymmetric Exclusion Process. https://doi.org/10.1007/bf02508478

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