2023
DOI: 10.1088/1751-8121/acc55b
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Integrability of two-species partially asymmetric exclusion processes

Abstract: We work towards the classification of all one-dimensional exclusion processes with two species of particles that can be solved by a nested coordinate Bethe Ansatz. Using the Yang-Baxter equations, we obtain conditions on the model parameters that ensure that the underlying system is integrable. Three classes of integrable models are thus found. Of these, two classes are well known in literature, but the third has not been studied until recently, and never in the context of the Bethe ansatz. The Bethe equations… Show more

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Cited by 4 publications
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“…Constraints on the hopping rates are generally needed for such models to be integrable, see e.g. [505][506][507][508].…”
Section: Several Conserved Quantitiesmentioning
confidence: 99%
“…Constraints on the hopping rates are generally needed for such models to be integrable, see e.g. [505][506][507][508].…”
Section: Several Conserved Quantitiesmentioning
confidence: 99%