Large Deviation Function of the Partially Asymmetric Exclusion Process
arXiv:cond-mat/9902001 · doi:10.1103/PhysRevE.59.6476
Abstract
The large deviation function obtained recently by Derrida and Lebowitz for the totally asymmetric exclusion process is generalized to the partially asymmetric case in the scaling limit. The asymmetry parameter rescales the scaling variable in a simple way. The finite-size corrections to the universal scaling function and the universal cumulant ratio are also obtained to the leading order.
10 pages, 2 eps figures, minor changes, submitted to PRE
Cited by in corpus (42)
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Distribution of current in non-equilibrium diffusive systems and phase transitions
- The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
- Universal cumulants of the current in diffusive systems on a ring
- Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries
- Probability distribution of the free energy of a directed polymer in a random medium
- On integrability of zero-range chipping models with factorized steady state
- Exact short-time height distribution in 1D KPZ equation and edge fermions at high temperature
- Current large deviation function for the open asymmetric simple exclusion process
- The inverse scattering of the Zakharov-Shabat system solves the weak noise theory of the Kardar-Parisi-Zhang equation
- Some Exact Results for the Exclusion Process
- Bethe ansatz solution of zero-range process with nonuniform stationary state
- Lower tail of the KPZ equation
- Determinant solution for the Totally Asymmetric Exclusion Process with parallel update
- Cumulants of the current in the weakly asymmetric exclusion process
- Bethe Ansatz for the Weakly Asymmetric Simple Exclusion Process and phase transition in the current distribution
- The Asymmetric Avalanche Process
- Current Fluctuations in the exclusion process and Bethe Ansatz
- Tree structures for the current fluctuations in the exclusion process
- Ground state energy of a non-integer number of particles with delta attractive interactions
- Bethe ansatz solution of discrete time stochastic processes with fully parallel update
- Fluctuations and skewness of the current in the partially asymmetric exclusion process
- Two-point generating function of the free energy for a directed polymer in a random medium
- Exact joint density-current probability function for the asymmetric exclusion process
- Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
- Exact probability function for bulk density and current in the asymmetric exclusion process
- Emergence of jams in the generalized totally asymmetric simple exclusion process
- Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
- Universal fluctuation of the average height in the early-time regime of the one-dimensional Kardar-Parisi-Zhang-type growth
- Extrapolation methods and Bethe ansatz for the asymmetric exclusion process
- Current fluctuations and large deviations for periodic TASEP on the relaxation scale
- KPZ fluctuations in finite volume
- From Vicious Walkers to TASEP
- Surface growth on treelike lattices and the upper critical dimension of the KPZ class
- Current statistics in the q-boson zero range process
- A combinatorial solution for the current fluctuations in the exclusion process
- Asymmetric simple exclusion process in one-dimensional chains with long-range links
- Numerical Method for Accessing the Universal Scaling Function for a Multi-Particle Discrete Time Asymmetric Exclusion Process
- Nonstationary generalized TASEP in KPZ and jamming regimes
- Height distributions in interface growth: The role of the averaging process
- Mapping current and activity fluctuations in exclusion processes: consequences and open questions
- Crossover scaling functions in the asymmetric avalanche process