“…The purpose of this paper is to introduce a new approach for the derivation of quenched strong local equilibrium in order to address this question, which was left open by the previous works [10,21]. In the case of supercritical hydrodynamic density ρ(t, x) > ρ c , we prove that the local equilibrium property fails, and that, locally around "typical points" of the environment, the distribution of the microscopic state is close to the critical measure with density ρ c : this can be viewed as a dynamic version of the loss of mass property studied in [4,7,8]. The dynamic loss of mass that we establish here allows us to remove the convexity assumption used in [7,8], but for a slightly less general class of initial configurations.…”