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 …

Microrheology was proposed almost twenty years ago as a technique to obtain rheological
properties in soft matter from the microscopic motion of colloidal tracers used as probes …

We describe in detail how to implement a coarse-grained hybrid molecular dynamics and
stochastic rotation dynamics simulation technique that captures the combined effects of …

Molecular dynamics simulations are used to investigate the diffusion process of
nanoparticles in polymer melts. The effects of size, concentration, and mass of the particle …

The validity of the Stokes-Einstein (SE) relation for particle diffusion in the nano-and
molecular scales has attracted much interest, but the results in the literature are …

The mechanical properties of viral shells are crucial for viral assembly and infection. To
study their distribution and heterogeneity on the viral surface, we performed atomistic force …

The memory kernel for a tagged particle in a fluid, computed from molecular dynamics
simulations, decays algebraically as t-3/2. We show how the hydrodynamic Basset …

The Saffman-Delbrück hydrodynamic model for lipid-bilayer membranes is modified to
account for the periodic boundary conditions commonly imposed in molecular simulations …

We use molecular dynamics simulations to study a semidilute, unentangled polymer solution
containing well-dispersed, weakly attractive nanoparticles (NP) of size (σ N) smaller than the …

We have developed a Green-Kubo relation that enables accurate calculations of friction at
solid-liquid interfaces directly from equilibrium molecular dynamics (MD) simulations and …