*Online Conference* Analysis of Fluids and Related Topics: Shape matters: Homogenization for a confined Brownian microswimmer, Jean-Luc Thiffeault, University of Wisconsin-Madison

Thu, Mar 26, 2020, 4:30 pm

Speaker:  Jean-Luc Thiffeault

Online Conference



We consider a simple model of a two-dimensional microswimmer with fixed swimming speed. The direction of swimming changes according to a Brownian process, and the swimmer interacts with solid boundaries. The shape of the swimmer determines the range of allowable values that its degrees of freedom can assume --- its configuration space. Using natural assumptions about reflection of the swimmer at boundaries, we compute the swimmer's invariant distribution across a channel consisting of two parallel walls. We then solve the mean reversal time problem, which is the expected time taken for the swimmer to completely reverse direction in the channel.  A homogenization theory approach then connects the mean reversal time to the effective diffusion constant of the swimmer's large scale motion. 

This is joint work with Hongfei Chen.

*Online Conference*

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Wed, Mar 17, 2021, 10:30 am
Location: via Zoom - Link TBA