Some conditional probabilities in the TASEP with second class particles

DOI10.1063/1.4994940zbMath1377.81259arXiv1707.02539OpenAlexW3103473684MaRDI QIDQ4600230

Eunghyun Lee

Publication date: 8 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02539

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration ⋮ On the TASEP with second class particles ⋮ Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process ⋮ Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: analytical analyses of steady state evolving from initial state ⋮ Simplified forms of the transition probabilities of the two-species ASEP with some initial orders of particles ⋮ Twisted traces and positive forms on generalized \(q\)-Weyl algebras

Cites Work

• The transition probability of the \(q\)-TAZRP (\(q\)-bosons) with inhomogeneous jump rates
• The current distribution of the multiparticle hopping asymmetric diffusion model
• Asymmetric simple exclusion process and modified random matrix ensembles
• Integral formulas for the asymmetric simple exclusion process
• Exact solution of the master equation for the asymmetric exclusion process
• Level-spacing distributions and the Airy kernel
• On the TASEP with second class particles
• On the asymmetric simple exclusion process with multiple species
• Determinant representation for some transition probabilities in the TASEP with second class particles
• Shape fluctuations and random matrices
• On the integrability of zero-range chipping models with factorized steady states
• Quantum Field Theory III: Gauge Theory
• Two Ways to Solve ASEP
• Blocks in the asymmetric simple exclusion process
• The transition probability and the probability for the left-most particle's position of the q-totally asymmetric zero range process
• Matrices and matroids for systems analysis

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