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Duality relations for asymmetric exclusion processes

Gunter Markus Schutz

Journal of Statistical PhysicsMar 1, 1997100 citations

On the Asymmetric Simple Exclusion Process with Multiple Species

Craig A. Tracy, Harold Widom

arXiv:1105.4906Journal of Statistical PhysicsJul 2, 201228 citations

Non-stationary probabilities for the asymmetric exclusion process on a ring

V. B. Priezzhev

PramanaJun 1, 200518 citations

Hidden symmetries in the asymmetric exclusion process

O. Golinelli, Kirone Mallick

We present a spectral study of the evolution matrix of the totally asymmetric exclusion process on a ring at half filling. The natural symmetries (translation, charge conjugation combined with reflection) predict only twofold degeneracies. However, we have found that degeneracies of higher order also exist and, as the system size increases, higher and higher orders appear. These degeneracies become generic in the limit of very large systems. This behaviour can be explained by the Bethe ansatz and suggests the presence of hidden symmetries in the model.We present a spectral study of the evolution matrix of the totally asymmetric exclusion process on a ring at half filling. The natural symmetries (translation, charge conjugation combined with reflection) predict only twofold degeneracies. However, we have found that degeneracies of higher order also exist and, as the system size increases, higher and higher orders appear. These degeneracies become generic in the limit of very large systems. This behaviour can be explained by the Bethe ansatz and suggests the presence of hidden symmetries in the model.

arXiv:cond-mat/0412353Journal of Statistical Mechanics Theory and ExperimentDec 3, 200412 citations

A Two-Parametric Family of Asymmetric Exclusion Processes and Its Exact Solution

M. Alimohammadi, Vahid Karimipour, Mohammad Khorrami

arXiv:cond-mat/9805155Journal of Statistical PhysicsOct 1, 199966 citations

Hidden symmetries in the asymmetric exclusion process

O. Golinelli, Kirone Mallick

We present a spectral study of the evolution matrix of the totally asymmetric exclusion process on a ring at half filling. The natural symmetries (translation, charge conjugation combined with reflection) predict only two fold degeneracies. However, we have found that degeneracies of higher order also exist and, as the system size increases, higher and higher orders appear. These degeneracies become generic in the limit of very large systems. This behaviour can be explained by the Bethe Ansatz and suggests the presence of hidden symmetries in the model.We present a spectral study of the evolution matrix of the totally asymmetric exclusion process on a ring at half filling. The natural symmetries (translation, charge conjugation combined with reflection) predict only two fold degeneracies. However, we have found that degeneracies of higher order also exist and, as the system size increases, higher and higher orders appear. These degeneracies become generic in the limit of very large systems. This behaviour can be explained by the Bethe Ansatz and suggests the presence of hidden symmetries in the model.

Jan 1, 20045 citations

Spectral Degeneracies in the Totally Asymmetric Exclusion Process

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