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Soft Matter and Complex Systems Seminar

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2022-03-11 (09:30) Calendar icon
John Shaw (University of Arkansas, IFT UW)

Two necessary conditions for the stability of simple loops

Many self-formed flow networks in nature are loopy, and these loops can occur because of adaptation to fluctuating boundary conditions. However, this control has not been thoroughly tested at the scale of a single loop. We explore two conditions that control loop formation in a three-node equilateral network. First, we find that the location of the absolute maximum discharge to the network must change for a loop to form. Second, if there is a super-linear relationship between link conductivity and discharge, then there is a limit to how unequal link conductivities can be. This preliminary work suggests that the switching of dominant nodes, and parity of link conductivites should be hallmarks of stable loops in nature.

The seminar will be held on Zoom
https://us02web.zoom.us/j/82784273907

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