Stella Brassesco,
Departamento de Matemįticas, Instituto Venezolano de Investigaciones Cientķcas, Caracas, Venezuela

Paolo Buttą,
Dipartimento di Matematica, Universitą di Roma La Sapienza, Roma, Italy

Errico Presutti,
Dipartimento di Matematica, Universitą di Roma Tor Vergata, Roma, Italy

Front Fluctuations in One Dimensional Stochastic Phase Field Equations, AHP Vol. 3, issue 1, pp. 29-86 and

Stochastic Phase Field Equations: Existence and Uniqueness,
AHP Vol. 3, issue 1, pp. 87-98

According to the referee’s report “These twin papers belong to the area of stochastic PDEs connected to dynamical models in statistical mechanics. The authors consider Model C in the classification of Halperin-Hohenberg, consisting of the nonconserved order parameter field coupled to a conserved field which evolve under the
stochastic Ginzburg-Landau dynamics. For zero noise this model is also known as phase field. There is a huge literature on this subject, mostly from the computational
and theoretical physics side, but also, at least for the case of zero noise, from the applied PDE side.
…
In these papers the sharp interface limit is investigated, and the existence and uniqueness of the stochastic PDE is established. The papers are outstanding, on a high technical level with novel results of physical interest. The authors combine rather unique mathematical expertise, build up over many years, with new insights of how to properly handle the phase field."