The impact of colloid-solvent dynamic coupling on the coarsening rate of colloidal phase separation

Phase separation, a fundamental phenomenon in both natural and industrial settings, involves the coarsening of domains over time t to reduce interfacial energy. While well-understood for simple viscous liquid mixtures, the physical laws governing coarsening dynamics in complex fluids, such as colloidal suspensions, remain unclear. Here, we investigate colloidal phase separation through particle-based simulations with and without hydrodynamic interactions (HIs). The former incorporates many-body HIs through momentum conservation, while the latter simplifies their effects into a constant friction coefficient on a particle. In cluster-forming phase separation with HIs, the domain size ℓ grows as ℓ∝t^1/3, aligning with the Brownian-coagulation mechanism. Without HIs, ℓ∝t^1/5, attributed to an improper calculation of cluster thermal diffusion. For network-forming phase separation, ℓ∝t^1/2 with HIs, while ℓ∝t^1/3 without HIs. In both cases, network coarsening is governed by the mechanical stress relaxation of the colloid-rich phase, yet with distinct mechanisms: slow solvent permeation through densely packed colloids for the former and free draining for the latter. Our results provide a clear and concise physical picture of colloid-solvent dynamic coupling via momentum conservation, offering valuable insights into the self-organization dynamics of particles like colloids, emulsions, and globular proteins suspended in a fluid.