F. Ducastelle, VARIATIONAL AND MEAN-FIELD FORMULATIONS OF THE CLUSTER VARIATION METHOD OF THE PATH PROBABILITY METHOD, Progress of theoretical physics. Supplement, (115), 1994, pp. 255-272
It is shown that the path probability method of Kikuchi is a genuine m
ean field treatment of the kinetic Ising model. The theory for the spi
n-flip dynamics is presented in a general form, completely consistent
with that already put forward for the cluster variation method.