On the dynamics of the Ising model of cooperative phenomena.
A two-dimensional (and to some degree three-dimensional) version of Glauber's one-dimensional spin relaxation model is described. The model is constructed to yield the Ising model of cooperative phenomena at equilibrium. A complete hierarchy of differential equations for multispin correlation functions is constructed. Some remarks are made concerning the solution of them for the initial value problem of determining the relaxation of an initial set of spin distributions.
Montroll
E W
EW
Institute for Fundamental Studies, Department of Physics and Astronomy, University of Rochester, New York 14627.