The method based on the use of the generating functions of spin correlators was proposed for the description of the Glauber dynamics of disordered Ising chain. The partial differential equations was derived for these generating functions and the formal solutions were obtained. The exact solutions for generating functions were found for the Ising chain with alternating coupling constants.
ЦИТАТА
Aliev, M.A. On the description of the Glauber dynamics of one dimensional disordered Ising chain / M.A. Aliev // Physica A: Statistical Mechanics and its Applications. – 2000. – Т. 277. – № 3-4. – P. 261-273