Saverio E. Spagnolie
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sespagnolie.bsky.social
Saverio E. Spagnolie
@sespagnolie.bsky.social
Professor of Mathematics; Chemical & Biological Engineering, UW-Madison. I dig biological fluid dynamics, soft matter physics, and numerical methods. Vijayanagara (GMT Games).

https://people.math.wisc.edu/~spagnolie/
Finally, at higher particle activity, we observe a periodic "thrashing" mode. 19/20
August 4, 2025 at 5:06 PM
So what does an arrested state look like when the particles are also swimming? Does the arrested state just translate with the particle swimming speed? No! Something new. Concentration bands form. Now the color below is the particle concentration. 16/20
August 4, 2025 at 5:06 PM
The higher the activity, the higher the wavenumbers present in the eventual arrested state. We also see what appears to be an elastic snap-through instability in a bulk fluid. Fluid mechanics ASMR? 9/20
August 4, 2025 at 5:06 PM
At yet higher activity (or reduced elasticity), the system desires to reach the classical aperiodic oscillatory states of active suspensions in Newtonian flows. But the LC is still able to arrest the system into a steady flowing state. These are all at high anchoring strength so far, btw. 8/20
August 4, 2025 at 5:06 PM
Increasing the activity, those aligned particles become susceptible to a classical bend instability. But rather than exploding into wildly unsteady "turbulence 😬", the development is arrested by LC elasticity, which penalizes bending. A steady flowing state emerges with a big bending wave. 7/20
August 4, 2025 at 5:06 PM
Let's start in 2D, with extensile, immotile particles. At low activity, randomly initialized particles align with the LC. The background color is the LC elastic energy. Arrows show the average local direction of particles; white dashes show the LC direction. The LC also rotates until happy. 6/20
August 4, 2025 at 5:06 PM