We consider the Brownian motion of a particle and present a tutorial review over the last 111
years since Einstein's paper in 1905. We describe Einstein's model, Langevin's model and …

Dissipative particle dynamics (DPD) belongs to a class of models and computational
algorithms developed to address mesoscale problems in complex fluids and soft matter in …

In this review article, we focus on collective motion in externally driven colloidal
suspensions, as well as how these collective effects can be harnessed for use in microfluidic …

Phase separation is a fundamental phenomenon leading to spatially heterogeneous
material distribution, which is critical in nature, biology, material science, and industry. In …

A space-spanning network structure is a basic morphology in phase separation of soft and
biomatter, alongside a droplet one. Despite its fundamental and industrial importance, the …

We develop a rigid multiblob method for numerically solving the mobility problem for
suspensions of passive and active rigid particles of complex shape in Stokes flow in …

We develop an immersed boundary (IB) method for modeling flows around fixed or moving
rigid bodies that is suitable for a broad range of Reynolds numbers, including steady Stokes …

We study diffusive mixing in the presence of thermal fluctuations under the assumption of
large Schmidt number. In this regime we obtain a limiting equation that contains a diffusive …

We develop a Fluctuating Immersed Boundary (FIB) method for performing Brownian
dynamics simulations of confined particle suspensions. Unlike traditional methods which …

Quartz crystal microbalance (QCM) biosensors often deal with nanoparticles suspended in
the solvent at tens of nanometers above the resonator while being linked to some molecular …