aqora

Two-species asymmetric simple exclusion process with open boundaries

Masaru Uchiyama

arXiv:cond-mat/0703660Chaos Solitons & FractalsJul 12, 200649 citations

24pAJ-9 Construction of integrable multi-state asymmetric simple exclusion processes

Chihiro Matsui

日本物理学会講演概要集Mar 21, 20150 citations

The Completeness of the Bethe Ansatz for the Asymmetric Simple Exclusion Process

Eric Brattain

Jan 1, 20160 citations

The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line

Craig A. Tracy, Harold Widom

arXiv:1205.4054Journal of Statistical PhysicsJan 1, 201324 citations

Spectrum of a multi-species asymmetric simple exclusion process on a ring

Chikashi Arita, Atsuo Kuniba, Kazumitsu Sakai +1 more

The spectrum of the Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is found to coincide with the one-species case. It implies that the system belongs to the Kardar–Parisi–Zhang or Edwards–Wilkinson universality classes depending on whether the hopping rate is asymmetric or symmetric, respectively. Our derivation exploits a poset structure of the particle sectors, leading to a new spectral duality and inclusion relations. The Bethe ansatz integrability is also demonstrated.The spectrum of the Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is found to coincide with the one-species case. It implies that the system belongs to the Kardar–Parisi–Zhang or Edwards–Wilkinson universality classes depending on whether the hopping rate is asymmetric or symmetric, respectively. Our derivation exploits a poset structure of the particle sectors, leading to a new spectral duality and inclusion relations. The Bethe ansatz integrability is also demonstrated.

arXiv:0904.1481Journal of Physics A Mathematical and TheoreticalJul 31, 200943 citations

Spectrum in multi-species asymmetric simple exclusion process on a ring

Chikashi Arita, Atsuo Kuniba, Kazumitsu Sakai +1 more

The spectrum of Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is found to coincide with the one-species case. It implies that the system belongs to the Kardar-Parisi-Zhang or Edwards-Wilkinson universality classes depending on whether the hopping rate is asymmetric or symmetric, respectively. Our derivation exploits a poset structure of the particle sectors, leading to a new spectral duality and inclusion relations. The Bethe ansatz integrability is also demonstrated.The spectrum of Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is found to coincide with the one-species case. It implies that the system belongs to the Kardar-Parisi-Zhang or Edwards-Wilkinson universality classes depending on whether the hopping rate is asymmetric or symmetric, respectively. Our derivation exploits a poset structure of the particle sectors, leading to a new spectral duality and inclusion relations. The Bethe ansatz integrability is also demonstrated.

Jul 31, 200951 citations

On the Asymmetric Simple Exclusion Process with Multiple Species

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