Occupation time large deviations of two-dimensional symmetric simple exclusion process

Vortices in the Two-Dimensional Simple Exclusion Process

We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact computations of the variance of partial current fluctuations for the symmetric simple exclusion process on general graphs. On a two-dimensional torus, our e...

Large Deviations for the Current and Tagged Particle in 1d Nearest-neighbor Symmetric Simple Exclusion

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 (JaraLandim (2006)). In this article, we prove corresponding large deviation principles, and evaluate the rate functions, showing different growth behaviors near and far from their zer...

Large Deviations for Occupation Time Profiles of Random Interlacements

We derive a large deviation principle for the density profile of occupation times of random interlacements at a fixed level in a large box of Z, d ≥ 3. As an application, we analyze the asymptotic behavior of the probability that atypically high values of the density profile insulate a macroscopic body in a large box. As a step in this program, we obtain a similar large deviation principle for ...

Symmetric Simple Exclusion Process: Regularity of the Self Diffusion Coefficient

Large Deviation of the Density Profile in the Symmetric Simple Exclusion Process

We consider an open one dimensional lattice gas on sites i = 1, . . . , N , with particles jumping independently with rate 1 to neighboring interior empty sites, the simple symmetric exclusion process. The particle fluxes at the left and right boundaries, corresponding to exchanges with reservoirs at different chemical potentials, create a stationary nonequilibrium state (SNS) with a steady flu...