Journal of Statistical Physics, Vol. 62, Nos. 3/4, 1991. p. 759-777.
We derive the time evolution of the normal fluctuations of a classical lattice spin system induced by a generalized Glauber dynamics. The canonical form of this dynamics is derived. We prove that it is asymptotically (i.e., after the central limit) free. The results are applied to give a rigorous proof of the macroscopic reciprocity relations and the linear theory for small deviations from equilibrium.