Brownian Dynamics of Confined Suspensions of Active Microrollers
arXiv:1612.00474 · doi:10.1063/1.4979494
Abstract
We develop efficient numerical methods for performing many-body Brownian dynamics simulations of a recently-observed fingering instability in an active suspension of colloidal rollers sedimented above a wall [M. Driscoll, B. Delmotte, M. Youssef, S. Sacanna, A. Donev and P. Chaikin, Nature Physics, 2016, doi:10.1038/nphys3970]. We present a stochastic Adams-Bashforth integrator for the equations of Brownian dynamics, which has the same cost as but is more accurate than the widely-used Euler-Maruyama scheme, and uses a random finite difference to capture the stochastic drift proportional to the divergence of the configuration-dependent mobility matrix. We generate the Brownian increments using a Krylov method, and show that for particles confined to remain in the vicinity of a no-slip wall by gravity or active flows the number of iterations is independent of the number of particles. Our numerical experiments with active rollers show that the thermal fluctuations set the characteristic height of the colloids above the wall, both in the initial condition and the subsequent evolution dominated by active flows. The characteristic height in turn controls the timescale and wavelength for the development of the fingering instability.
Revised and resubmitted to J. Chem. Phys
References in corpus (6)
- Hydrodynamic attraction of swimming microorganisms by surfaces
- Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations
- Hydrodynamic interaction in confined geometries
- Universal hydrodynamic mechanisms for crystallization in active colloidal suspensions
- Many-body microhydrodynamics of colloidal particles with active boundary layers
- GPU-accelerated simulation of colloidal suspensions with direct hydrodynamic interactions
Cited by in corpus (16)
- Leveraging Collective Effects in Externally Driven Colloidal Suspensions: Experiments and Simulations
- Large Scale Brownian Dynamics of Confined Suspensions of Rigid Particles
- Polar state memory in active fluids
- A fluctuating boundary integral method for Brownian suspensions
- Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall
- A generalised drift-correcting time integration scheme for Brownian suspensions of rigid particles with arbitrary shape
- Conformations and diffusion of flexibly linked colloidal chains
- Computing hydrodynamic interactions in confined doubly-periodic geometries in linear time
- Brownian Dynamics of Fully Confined Suspensions of Rigid Particles Without Green's Functions
- Hydrodynamically-bound states of a pair of microrollers: a dynamical system insight
- Brownian motion of flexibly-linked colloidal rings
- Hydrodynamic fluctuations in quasi-two dimensional diffusion
- A minimal model for a hydrodynamic fingering instability in microroller suspensions
- Sedimentation of a Colloidal Monolayer Down an Inclined Plane
- Fluctuating hydrodynamics of an autophoretic particle near a permeable interface
- Viscosity ratio across interfaces controls the stability and self-assembly of microrollers