2024-05-28 カリフォルニア大学サンディエゴ校(UCSD)
<関連情報>
- https://today.ucsd.edu/story/short-time-attractors
- https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.218302
アクティブネマティクスにおける短時間アトラクターの最適制御 Optimal Control of Short-Time Attractors in Active Nematics
Carlo Sinigaglia, Francesco Braghin, and Mattia Serra
Physical Review Letters Published: 22 May 2024
DOI:https://doi.org/10.1103/PhysRevLett.132.218302
ABSTRACT
Objective Eulerian coherent structures (OECSs) and instantaneous Lyapunov exponents (iLEs) govern short-term material transport in fluid flows as Lagrangian coherent structures and the finite-time Lyapunov exponent do over longer times. Attracting OECSs and iLEs reveal short-time attractors and are computable from the Eulerian rate-of-strain tensor. Here, we devise for the first time an optimal control strategy to create short-time attractors in compressible, viscosity-dominated active nematic flows. By modulating the active stress intensity, our framework achieves a target profile of the minimum eigenvalue of the rate-of-strain tensor, controlling the location and shape of short-time attractors. We show that our optimal control strategy effectively achieves desired short-time attractors while rejecting disturbances. Combining optimal control and coherent structures, our work offers a new perspective to steer material transport in compressible active nematics, with applications to morphogenesis and synthetic active matter.
