Boundary conditions may change the phase diagram of non-equilibrium st
atistical systems like the one-dimensional asymmetric simple exclusion
process with and without particle number conservation. Using the quan
tum Hamiltonian approach, the model is mapped onto an XXZ quantum chai
n and solved using the Bethe ansatz. This system is related to a two-d
imensional vertex model in thermal equilibrium. The phase transition c
aused by a point-like boundary defect in the dynamics of the one-dimen
sional exclusion model is in the same universality class as a continuo
us (bulk) phase transition of the two-dimensional vertex model caused
by a line defect at its boundary.