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

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 the equation of relaxation toward the stationary profile could also be solved through a similar transfer-matrix method. A classification is given, and dynamical phase transitions are studied. (paper)