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DY: Fachverband Dynamik und Statistische Physik

DY 50: Wetting, Droplets, and Microfluidics (joint session DY/CPP)

DY 50.3: Talk

Thursday, March 21, 2024, 15:30–15:45, BH-N 334

Dynamic density functional theory for drying colloidal suspensions: Hydrodynamic interactions in spherical confinement — •Mayukh Kundu¹, Yashraj M. Wani², Kritika Kritika^2,3,4, Arash Nikoubashman^2,3,4, and Michael P. Howard¹ — ¹Department of Chemical Engineering, Auburn University, Auburn, USA — ²Institute of Physics, Johannes Gutenberg University, Mainz, Germany — ³Leibniz-Institut für Polymerforschung Dresden, Germany — ⁴Institut für Theoretische Physik, TU Dresden, Germany

We investigate the role hydrodynamic interactions (HI) play in the evolution of structures in one-component drying colloidal suspensions confined within spherical droplets. We develop a continuum model for the distribution of hard-sphere particles in the droplet based on dynamic density functional theory (DDFT). To compute the particle flux during drying, we employ an accurate free-energy functional based on fundamental measure theory (FMT) in conjunction with pairwise far-field HI described by the Rotne-Prager-Yamakawa (RPY) mobility tensor. To validate the DDFT model, we compare the DDFT predictions with particle-based Brownian dynamics (BD) and multiparticle collision dynamics (MPCD) simulations in selected cases. We also compare our model to DDFT and particle-based models, including only free-draining HI, in order to systematically characterize the effects of HI between particles. Our work illustrates the importance of including HI in models of nonequilibrium self-assembly processes such as drying and demonstrates a systematic way of constructing such models.

Keywords: colloids; self-assembly; hydrodynamics