Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion

Abstract

Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincare Probab. Stat. 42 (2006) 567-577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in [J. Stat. Phys. 136 (2009) 1-15].

Published in at http://dx.doi.org/10.1214/11-AOP703 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (4)

• Current Fluctuations in One Dimensional Diffusive Systems with a Step Initial Density Profile
• Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition
• Large Fluctuations of the Macroscopic Current in Diffusive Systems: A Confirmation of the Additivity Principle
• On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion

Cited by in corpus (12)

• Large Deviations in Single File Diffusion
• Exact solution of the macroscopic fluctuation theory for the symmetric exclusion process
• Large deviations of a tracer in the symmetric exclusion process
• Extreme Current Fluctuations in Lattice Gases: Beyond Nonequilibrium Steady States
• Dynamical properties of single-file diffusion
• Generalized Exclusion Processes: Transport Coefficients
• Extreme Current Fluctuations in a Nonstationary Stochastic Heat Flow
• Dynamical fluctuations in the Riesz gas
• Extreme Fluctuations of Current in the Symmetric Simple Exclusion Process: a Non-Stationary Setting
• Current fluctuations in the Dyson Gas
• Gumbel laws in the symmetric exclusion process
• Lecture notes on large deviations in non-equilibrium diffusive systems