  We study asymmetric zero-range processes on Z with nearest-neighbour jumps
and site disorder. The jump rate of particles is an arbitrary but bounded
nondecreasing function of the number of particles. We prove quenched strong
local equilibrium at subcritical and critical hydrodynamic densities, and
dynamic local loss of mass at supercritical hydrodynamic densities. Our results
do not assume starting from local Gibbs states. As byproducts of these results,
we prove convergence of the process from given initial configurations with an
asymptotic density of particles to the left of the origin. In particular , we
relax the weak convexity assumption of [7, 8] for the escape of mass property.
1 MSC 2010 subject classification: 60K35, 82C22.
