in the system is independent of the entry rate. Since this independence also holds for large $\beta$, we call this a *Meissner phase* in analogy to superconductors, where the magnetic field in the interior bulk is independent of exterior fields. This terminology was also used for the boundary independent phase in the homogeneous TASEP/LK [@pff2]. However, one has to note that while in the homogeneous system there are long-range boundary layers in the density profile which *do* depend on boundary rates, the Meissner phase in the disordered system only exhibits short-range boundary layers. The current profile in fact does not depend on the boundary rates, both in the homogeneous and the inhomogeneous system.

Due to particle-hole-symmetry all considerations made in this section can be transferred to the high density phase by replacing $\alpha$ with $\beta$.

Finite fraction of defects and disordered systems {#sec_MC_finphi}
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If the density of defects $\phi$ is finite and the number of defects is of order of the system size, even a local increase of the density in the vicinity of the defects has considerable impact on the average density due to the large number of defects. The effect can be observed in Fig. \[LD-profs2\] where 