Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates

zbMath1136.82350arXivcond-mat/0506525MaRDI QIDQ5446514

Gunter M. Schütz, Attila Rákos

Publication date: 6 March 2008

Full work available at URL: https://arxiv.org/abs/cond-mat/0506525

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random matrices (algebraic aspects) (15B52) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (14)

On inhomogeneous polynuclear growth ⋮ Dynamics of finite inhomogeneous particle systems with exclusion interaction ⋮ Markov processes of infinitely many nonintersecting random walks ⋮ Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process ⋮ Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition ⋮ Equivalent T-Q relations and exact results for the open TASEP ⋮ Fluctuation properties of the TASEP with periodic initial configuration ⋮ The transition probability and the probability for the left-most particle's position of the q-totally asymmetric zero range process ⋮ Limits of multilevel TASEP and similar processes ⋮ Parameter permutation symmetry in particle systems and random polymers ⋮ Determinantal transition kernels for some interacting particles on the line ⋮ The relaxation dynamics of the tasep with particle-dependent hopping probabilities on a ring ⋮ 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

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