ArticleProceedings of the National Academy of Sciences of the United States of America2022
Optimal transport and control of active drops.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Morphodynamics of surface-attached active drops.Nature communications · 2026Article
- Pattern formation along signaling gradients driven by active droplet behavior of cell swarms.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Optimal Control of an Electromechanical Energy Harvester.Entropy (Basel, Switzerland) · 2025Article
- Learning protocols for the fast and efficient control of active matter.Nature communications · 2024Article
- Design rules for controlling active topological defects.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Optimal Control of Underdamped Systems: An Analytic Approach.Journal of statistical physics · 2024Article
- Self-organization in amoeboid motility.Frontiers in cell and developmental biology · 2022Review
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Authors and funding
3 authors.
Funding
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Abstract
Understanding the complex patterns in space-time exhibited by active systems has been the subject of much interest in recent times. Complementing this forward problem is the inverse problem of controlling active matter. Here, we use optimal control theory to pose the problem of transporting a slender drop of an active fluid and determine the dynamical profile of the active stresses to move it with minimal viscous dissipation. By parametrizing the position and size of the drop using a low-order description based on lubrication theory, we uncover a natural "gather-move-spread" strategy that leads to an optimal bound on the maximum achievable displacement of the drop relative to its size. In the continuum setting, the competition between passive surface tension and active controls generates richer behavior with futile oscillations and complex drop morphologies that trade internal dissipation against the transport cost to select optimal strategies. Our work combines active hydrodynamics and optimal control in a tractable and interpretable framework and begins to pave the way for the spatiotemporal manipulation of active matter.
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