Matrix ansatz for the fluctuations of the current in the ASEP with open boundaries

DOI10.1088/1751-8113/46/14/145003zbMath1266.82036arXiv1212.3366OpenAlexW2085775869MaRDI QIDQ4917569

Alexandre Lazarescu

Publication date: 2 May 2013

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

Full work available at URL: https://arxiv.org/abs/1212.3366

zbMATH Keywords

matrix product ansatzXXZ spin chainMarkov matrixasymmetric simple exclusion process (ASEP)non-equilibrium statistical mechanics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Random matrices (algebraic aspects) (15B52) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (14)

Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume ⋮ Large deviations in the symmetric simple exclusion process with slow boundaries ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ Algebraic Bethe ansatz for the XXZ Gaudin models with generic boundary ⋮ Theoretical approaches to the steady-state statistical physics of interacting dissipative units ⋮ Dynamical phase transitions in the current distribution of driven diffusive channels ⋮ Integrable approach to simple exclusion processes with boundaries. Review and progress ⋮ Large deviations for correlated random variables described by a matrix product ansatz ⋮ Rare-event trajectory ensemble approach to study dynamical phase transitions in the zero temperature Glauber model ⋮ Extreme current fluctuations of boundary-driven systems in the large-Nlimit ⋮ Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP ⋮ Equivalent T-Q relations and exact results for the open TASEP ⋮ General limit distributions for sums of random variables with a matrix product representation ⋮ On matrix product ansatz for asymmetric simple exclusion process with open boundary in the singular case

This page was built for publication: Matrix ansatz for the fluctuations of the current in the ASEP with open boundaries