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Optimal Control of Short-Time Attractors in Active Nematics.
- Source :
-
Physical review letters [Phys Rev Lett] 2024 May 24; Vol. 132 (21), pp. 218302. - Publication Year :
- 2024
-
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.
Details
- Language :
- English
- ISSN :
- 1079-7114
- Volume :
- 132
- Issue :
- 21
- Database :
- MEDLINE
- Journal :
- Physical review letters
- Publication Type :
- Academic Journal
- Accession number :
- 38856253
- Full Text :
- https://doi.org/10.1103/PhysRevLett.132.218302