In a thin heterogeneous porous layer, we carry out multiscale analysis of Smoluchowski’s discrete diffusion–coagulation equations describing the evolution density diffusing particles that are subject to coagulation in pairs. Assuming layer is made up microstructures uniformly distributed inside, obtain limit an upscaled model lower space dimension. We also prove corrector-type result very usefu...

A collision model, modified from the Smoluchowski model, is developed for simulating coagulation and growth of a large number of aerosol particles with significantly different sizes. In this collision model, the particle-size distribution is discretized in volume bins, and the total mass among all the bins is conserved. In situations with significantly different particle sizes, the present mode...

We present a detailed analysis of the fluctuation-dissipation theorem (FDT) close to the glass transition in colloidal suspensions under steady shear using mode coupling approximations. Starting point is the many-particle Smoluchowski equation. Under shear, detailed balance is broken and the response functions in the stationary state are smaller at long times than estimated from the equilibrium...