Far-field theory for trajectories of magnetic ellipsoids in rectangular and circular channels
IMA Journal of Applied Mathematics Oxford University Press 83:4 (2018) 767-782
Abstract:
We report a method to control the positions of ellipsoidal magnets in flowing channels of rectangular or circular cross section at low Reynolds number. A static uniform magnetic field is used to pin the particle orientation and the particles move with translational drift velocities resulting from hydrodynamic interactions with the channel walls which can be described using Blake’s image tensor. Building on his insights, we are able to present a far-field theory predicting the particle motion in rectangular channels and validate the accuracy of the theory by comparing to numerical solutions using the boundary element method. We find that, by changing the direction of the applied magnetic field, the motion can be controlled so that particles move either to a curved focusing region or to the channel walls. We also use simulations to show that the particles are focused to a single line in a circular channel. Our results suggest ways to focus and segregate magnetic particles in lab-on-a-chip devices.Control of synchronization in models of hydrodynamically coupled motile cilia
Communications Physics Springer Nature 1:1 (2018) 28
Clustering of magnetic swimmers in a Poiseuille flow
Physical Review Letters American Physical Society 120:18 (2018) 188101
Abstract:
We investigate the collective behavior of magnetic swimmers, which are suspended in a Poiseuille flow and placed under an external magnetic field, using analytical techniques and Brownian dynamics simulations. We find that the interplay between intrinsic activity, external alignment, and magnetic dipole-dipole interactions leads to longitudinal structure formation. Our work sheds light on a recent experimental observation of a clustering instability in this system.Current fluctuations across a nano-pore.
Journal of physics. Condensed matter : an Institute of Physics journal 30:13 (2018) 134001
Abstract:
The frequency-dependent spectrum of current fluctuations through nano-scale channels is studied using analytical and computational techniques. Using a stochastic Nernst-Planck description and neglecting the interactions between the ions inside the channel, an expression is derived for the current fluctuations, assuming that the geometry of the channel can be incorporated through the lower limits for various wave-vector modes. Since the resulting expression turns out to be quite complex, a number of further approximations are discussed such that relatively simple expressions can be used for practical purposes. The analytical results are validated using Langevin dynamics simulations.Multigenerational memory and adaptive adhesion in early bacterial biofilm communities.
Proceedings of the National Academy of Sciences of the United States of America 115:17 (2018) 4471-4476