Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session F20: Active Matter and Liquid Crystals in Biological and Bio-Inspired Systems I
8:00 AM–11:00 AM,
Tuesday, March 15, 2022
Room: McCormick Place W-185BC
Sponsoring
Units:
DSOFT DPOLY GSNP
Chair: Mehdi Molaei, U Chicago
Abstract: F20.00001 : Distribution and pressure of active Levy swimmers under confinement*
8:00 AM–8:12 AM
Presenter:
(Edmond) Tingtao Zhou
(California Institute of Technology)
Authors:
(Edmond) Tingtao Zhou
(California Institute of Technology)
Mamikon Gulian
(Center for Computing Research, Sandia National Laboratories)
Zhiwei Peng
(California Institute of Technology)
John F Brady
(Caltech)
or foraging. Such superdiffusive transport indicates long-range correlated
dynamics. These behavior patterns have been observed for microswimmers
such as bacteria in microfluidic experiments, where Gaussian noise assumptions
are insufficient to explain the data. We introduce active Levy swimmers to
model such behavior. The focus is on ideal swimmers that only interact with the
walls but not with each other, which reduces to the classical Levy walk model
but now under confinement. We study the density distribution in the channel and
force exerted on the walls by the Levy swimmers, where the boundaries require
proper explicit treatment. We analyze stronger confinement via a set of coupled
kinetics equations and the swimmers’ stochastic trajectories. Previous literature
demonstrated that power-law scaling in a multiscale analysis in free space
results in a fractional diffusion equation. We show that in a channel, in the weak
confinement limit active Levy swimmers are governed by a modified Riesz
fractional derivative. Leveraging recent results on fractional fluxes, we derive
steady state solutions for the bulk density distribution of active Levy swimmers
in a channel, and demonstrate that these solutions agree well with particle simulations.
The profiles are non-uniform over the entire domain, in contrast to
constant-in-the-bulk profiles of active Brownian and run-and-tumble particles.
Our theory provides a mathematical framework for Levy walks under confinement
with sliding no-flux boundary conditions and provides a foundation for
studies of interacting active Levy swimmers.
*TZ is supported by the Cecil and Sally Drinkward Postdoc Fellowship at Caltech. MG is supported by the John von Neumann fellowship at Sandia National Laboratories. JFB is supported by NSF grant CBET 1803662.
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