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Exclusion Processes and boundary conditions

Farinaz Roshani·Mohammad Khorrami
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Abstract

A family of boundary conditions corresponding to exclusion processes is introduced. This family is a generalization of the boundary conditions corresponding to the simple exclusion process, the drop-push model, and the one-parameter solvable family of pushing processes with certain rates on the continuum [1-3]. The conditional probabilities are calculated using the Bethe ansatz, and it is shown that at large times they behave like the corresponding conditional probabilities of the family of diffusion-pushing processes introduced in [1-3].

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Farinaz Roshani, Mohammad Khorrami. 2004-03-10. Exclusion Processes and boundary conditions. https://doi.org/10.1142/s0217984904006664

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