Optimal Control of Active Nematics

Norton, Michael M.; Grover, Piyush; Hagan, Michael F.; Fraden, Seth

doi:10.1103/physrevlett.125.178005

Cited by 43 publications

(26 citation statements)

References 38 publications

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“…There currently is a significant effort in "active" materials, and "active nematics" are no exception [25][26][27][28] . Typically, adenosine triphosphate (ATP) is hydrolysed to power clusters of kinesin motors attached to microtubules -these are the structural units of the lyotropic nematic LC -resulting in mechanical stresses that drive the attendant motion.…”

Section: Resultsmentioning

confidence: 99%

Co-revolving topological defects in a nematic liquid crystal

2021

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Section: Resultsmentioning

confidence: 99%

Co-revolving topological defects in a nematic liquid crystal

2021

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“…Our approach enables programming metamaterials with complex defect patterns, as well as devising spatially textured actuations that yield different mechanical functionalities from a single sample. Controlling and steering the mechanical response in the bulk of 3D metamaterials could enable adaptive failure control, could potentially be implemented in nematic elastomers [35], and may also lead to additional applications such as steering waves [36], or to drive active matter [37][38][39].…”

Section: Discussionmentioning

confidence: 99%

Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration

et al. 2021

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Mechanical metamaterials present a promising platform for seemingly impossible mechanics. They often require incompatibility of their elementary building blocks, yet a comprehensive understanding of its role remains elusive. Relying on an analogy to ferromagnetic and antiferromagnetic binary spin interactions, we present a general approach to identify and analyze topological mechanical defects for arbitrary building blocks. We underline differences between two- and three-dimensional metamaterials, and show how topological defects can steer stresses and strains in a controlled and non-trivial manner and can inspire the design of materials with hitherto unknown complex mechanical response.

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“…[47,49] We have also not described attempts to obtain an approximate mapping of active systems to passive ones [10] where integral equation theories are used to derive effective forces between the active particles from the observed pair correlations; we again expect that such approaches are of limited usefulness. A very interesting subject that we could not cover here are phase transitions of active nematics [114] and active polymer networks, [115] which may play a role in biological contexts.…”

Section: Discussionmentioning

confidence: 99%

Phase transitions and phase coexistence: equilibrium systems versus externally driven or active systems - Some perspectives

Binder

Virnau

2021

Soft Materials

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A tutorial introduction to the statistical mechanics of phase transitions and phase coexistence is presented, starting out from equilibrium systems and nonequilibrium steady-state situations in externally driven systems, such as unmixing of sheared binary fluid mixtures, the driven lattice gas model, and the onset of Rayleigh-Bénard convection. Then, some models for phase separation in models for active systems, where particles possess internal motility, are discussed, emphasizing what one can learn by extending analysis methods to study phase transitions in equilibrium systems by computer simulations to active systems. Specific examples will include colloidpolymer mixtures where the colloids are assumed to be active particles, and active Brownian particles. The extent to which concepts familiar from the study of equilibrium systems are still useful will be critically discussed.

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Optimal Control of Active Nematics

Cited by 43 publications

References 38 publications

Co-revolving topological defects in a nematic liquid crystal

Co-revolving topological defects in a nematic liquid crystal

Putting a spin on metamaterials: Mechanical incompatibility as magnetic frustration

Phase transitions and phase coexistence: equilibrium systems versus externally driven or active systems - Some perspectives

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