Quenched non-equilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder
For a sequence of i.i.d. random variables { : ∈ℤ} bounded above and below by strictly positive finite constants, consider the nearest-neighbor one-dimensional simple exclusion process in which a particle at (resp. +1) jumps to +1 (resp. ) at rate . We examine a quenched non-equilibrium central limit theorem for the position of a tagged particle in the exclusion process with bond disorder { : ∈ℤ}. We prove that the position of the tagged particle converges...