One-dimensional kinetic diluted Ising model. Exact solution for correlation functions

In the limit of strong magnetic field (H→∞) the closed set of equations for the time evolution of the n-point spin correlation functions has been derived for the case of one-dimensional diluted kinetic Ising model. The distribution of magnetic atoms and nonmagnetic impurities along the infinite lattice has been considered to obey the Markov statistics. The exact solution for the generating functions of the two-point correlators is obtained in quadratures.