Cumulants of the current in a weakly asymmetric exclusion process

DOI10.1088/1751-8113/42/17/175001zbMath1162.82016arXiv0902.0570OpenAlexW3105242720MaRDI QIDQ3628269

Sylvain Prolhac, Kirone Mallick

Publication date: 19 May 2009

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

Full work available at URL: https://arxiv.org/abs/0902.0570

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Exactly solvable models; Bethe ansatz (82B23)

Related Items (19)

Current fluctuations in one dimensional diffusive systems with a step initial density profile ⋮ Large deviations in the symmetric simple exclusion process with slow boundaries ⋮ Perturbative solution for the spectral gap of the weakly asymmetric exclusion process ⋮ Crossover to the KPZ equation ⋮ Dynamical phase transitions in the current distribution of driven diffusive channels ⋮ Calculation of correlation functions in totally asymmetric exactly solvable models on a ring ⋮ Some exact results for the exclusion process ⋮ Microscopic versus macroscopic approaches to non-equilibrium systems ⋮ Two-point generating function of the free energy for a directed polymer in a random medium ⋮ Current fluctuations and large deviations for periodic TASEP on the relaxation scale ⋮ Full absorption statistics of diffusing particles with exclusion ⋮ Extreme current fluctuations of boundary-driven systems in the large-Nlimit ⋮ Glaubers Ising chain between two thermostats ⋮ Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions ⋮ Bethe Ansatz for the weakly asymmetric simple exclusion process and phase transition in the current distribution ⋮ The crossover regime for the weakly asymmetric simple exclusion process ⋮ Current large deviations for partially asymmetric particle systems on a ring ⋮ Current statistics in the q-boson zero range process ⋮ From the Riemann surface of TASEP to ASEP

This page was built for publication: Cumulants of the current in a weakly asymmetric exclusion process