A central limit theorem for interacting diffusion processes is shown. The proof is based on an infinite-dimensional stochastic integral representation of smooth functionals of diffusion processes. Exponential decay of correlations and the equation of the fluctuation field are also obtained.
"Central Limit Theorem for an Infinite Lattice System of Interacting Diffusion Processes." Ann. Probab. 16 (2) 700 - 716, April, 1988. https://doi.org/10.1214/aop/1176991781