  We consider a lattice of weakly interacting quantum Markov processes. Without
interaction, the dynamics at each site is relaxing exponentially to a unique
stationary state. With interaction, we show that there remains a unique
stationary state in the thermodynamic limit, i.e. absence of phase coexistence,
and the relaxation towards it is exponentially fast for local observables. We
do not assume that the quantum Markov process is reversible (detailed balance)
w.r.t. a local Hamiltonian.
