Total Current Fluctuations in ASEP

Abstract

A limit theorem for the total current in the asymmetric simple exclusion process (ASEP) with step initial condition is proved. This extends the result of Johansson on TASEP to ASEP.

References in corpus (8)

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• Shape Fluctuations and Random Matrices
• Determinantal random point fields
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• Microscopic concavity and fluctuation bounds in a class of deposition processes
• Fluctuation bounds for the asymmetric simple exclusion process

Cited by in corpus (34)

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• A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
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• Exact Current Statistics of the ASEP with Open Boundaries
• Master equations and the theory of stochastic path integrals
• The Physicist's Companion to Current Fluctuations: One-Dimensional Bulk-Driven Lattice Gases
• The crossover regime for the weakly asymmetric simple exclusion process
• On integrability of zero-range chipping models with factorized steady state
• Current large deviation function for the open asymmetric simple exclusion process
• Universality of slow decorrelation in KPZ growth
• Finite time corrections in KPZ growth models
• Some Exact Results for the Exclusion Process
• Facilitated Asymmetric Exclusion
• On ASEP with Step Bernoulli Initial Condition
• Current fluctuations for TASEP: A proof of the Prähofer--Spohn conjecture
• Current moments of 1D ASEP by duality
• Limit processes for TASEP with shocks and rarefaction fans
• Matrix Ansatz for the Fluctuations of the Current in the ASEP with Open Boundaries
• Microscopic concavity and fluctuation bounds in a class of deposition processes
• Crossover to the KPZ equation
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Riemann surfaces for KPZ with periodic boundaries
• Exact Relaxation Dynamics in the Totally Asymmetric Simple Exclusion Process
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice - bulk eigenvalues
• Extrapolation methods and Bethe ansatz for the asymmetric exclusion process
• Formulas for Joint Probabilities for the Asymmetric Simple Exclusion Process
• The current distribution of the multiparticle hopping asymmetric diffusion model
• KPZ fluctuations in finite volume
• Current fluctuations for totally asymmetric exclusion on the relaxation scale
• Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems
• A Unified Interface Model for Dissipative Transport of Bosons and Fermions
• From the Riemann surface of TASEP to ASEP
• Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond