We consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. We remark that the diffusive scaling limit proven in our previous work [NY09a] can be extended to wider class of models so that it covers the cases of potlatch/smoothing processes.
"A Note on the Diffusive Scaling Limit for a Class of Linear Systems." Electron. Commun. Probab. 15 68 - 78, 2010. https://doi.org/10.1214/ECP.v15-1530