Nonuniform autonomous one-dimensional exclusion nearest neighbor reaction diffusion models, II

In a recent article the most general non-uniform reaction-diffusion models on a one-dimensional lattice with boundaries were considered, for which the time evolution equations of correlation functions are closed and the stationary profile can be obtained using a transfer-matrix method. Here models are investigated for which also the equation of relaxation towards the stationary profile could be solved through a similar transfer-matrix method. A classification is given, and dynamical phase transitions are studied.