Exclusion Processes and boundary conditions

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 cont...

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Bibliographic Details
Published in:arXiv.org 2004-03
Main Authors: Roshani, Farinaz, Khorrami, Mohammad
Format: Article
Language:English
Subjects:
Boundary conditions
Pushing
Online Access:Get full text
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Summary: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].
ISSN:2331-8422
DOI:10.48550/arxiv.0211167