Exactly solved dynamics for an infinite-range spin system - art. no. 026116

It is well known that the dynamical evolution of a system of N spins can be viewed as a walk along the edges of an N-dimensional hypercube. I use this correspondence in an infinite-range spin system to derive a diffusion equa tion for the magnetization. The diffusion equation then leads to an ordinar y differential equation that describes the time evolution of the magnetizat ion for any given initial condition, and it is used to derive both static a nd dynamic properties of the spin system.