Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 42, Issue 34, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/34/345002
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Funding
- JSPS [19.7744, 18340112, 19540393]
- Grants-in-Aid for Scientific Research [18340112, 19540393] Funding Source: KAKEN
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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.
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