Numerical Simulations of Active Brownian Particles

Effective interactions mediated between two permeable disks in an active fluid

“…We consider a minimal model of dislike active Brownian particles (ABPs) with fixed self-propulsion speeds and diameter σ in two dimensions [42]. The ABPs are dispersed in a base fluid, which includes two fixed diskshaped fluid enclosures, or inclusions, with effective diameter σ c + w. The bounding enclosures are characterized by a soft, repulsive, steric potential (to be specified later) and, as such, model permeable interfacial regions, or membranes, of thickness w = σ enclosing the inclusions; see Fig.…”

Searching for structural predictors of plasticity in dense active packings

“…In the noisy simulations, random numbers were drawn from a Gaussian with zero mean and unit variance and rescaled by the variance of the noise, proportional to s ffiffiffiffi ffi dt p where dt = 10 À3 is the simulation time step, which was held constant. 71,72 See the description of the 1D toy model below for a description of how this time step was chosen. In both static and dynamic simulations, particles whose positions were very close (within the precision of the simulation) to the central point of attraction were pinned to that location to prevent trivial fluctuating dynamics and numerical instability in the case of the static simulations.…”

An Introduction to Modeling Approaches of Active Matter

“…Active Brownian particle model: One of the simplest and most popular models to describe active particles is the active Brownian particle (ABP) model [46][47][48][49][50][51][52], originally intro-duced to describe the motion of colloidal particles which smoothly change their self-propulsion direction due to rotational diffusion. It treats the solvent as a bath providing only fluctuations and drag without ensuring momentum conservation and, at least in its most commonly used form, without accounting for hydrodynamic interactions among particles.…”