We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in this regime, when initially started from a homogeneous product measure. This provides relevant new information on the coarsening dynamics of condensing interacting particle systems on the infinite lattice. We obtain our result by proving convergence to sticky Brownian motion for the difference of positions of two SIP particles in the sense of Mosco convergence of Dirichlet forms. Our approach implies the convergence of the probabilities of two SIP particles to be together at time t. This, combined with self-duality, allows us to obtain the explicit scaling for the variance of the fluctuation field.

我们研究了缩合体系中的对称包合过程（SIP）。当最初从均质乘积度量开始时，我们获得了在此状态下密度场方差的显式缩放。这提供了有关无限晶格上凝聚相互作用粒子系统的粗化动力学的相关新信息。我们通过证明Dirichlet形式的Mosco收敛意义上的两个SIP粒子的位置差异收敛到粘性布朗运动来获得我们的结果。我们的方法暗示了两个SIP粒子在时间t在一起的概率的收敛。结合自我对偶性，可以使我们获得针对波动场方差的显式缩放。