Cumulants of the current in the weakly asymmetric exclusion process
arXiv:0902.0570 · doi:10.1088/1751-8113/42/17/175001
Abstract
We study the fluctuations of the total current for the partially asymmetric exclusion process in the scaling of a weak asymmetry (asymmetry of order the inverse of the size of the system) using Bethe Ansatz. Starting from the functional formulation of the Bethe equations, we obtain for all the cumulants of the current both the leading and next-to-leading contribution in the size of the system.
24 pages, 2 figures
References in corpus (11)
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
- The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
- Exact Spectral Gaps of the Asymmetric Exclusion Process with Open Boundaries
- Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
- Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
- Current Fluctuations in the exclusion process and Bethe Ansatz
- Fluctuations and skewness of the current in the partially asymmetric exclusion process
- Family of Commuting Operators for the Totally Asymmetric Exclusion Process
- Connected Operators for the Totally Asymmetric Exclusion Process
Cited by in corpus (7)
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Dynamical symmetry breaking and phase transitions in driven diffusive systems
- Two-point generating function of the free energy for a directed polymer in a random medium
- Mutually avoiding paths in random media and largests eigenvalues of random matrices
- Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
- KPZ fluctuations in finite volume
- Tracer and current fluctuations in driven diffusive systems