Spontaneous helical flows in active nematics lying on a cylindrical surface

Napoli, Gaetano; Turzi, Stefano

doi:10.1103/physreve.101.022701

Cited by 18 publications

(9 citation statements)

References 26 publications

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“…We focus on extensile activity, with α ∈ [−10, 0], such that the dynamics is far from transition to low Reynolds number turbulence. For studies in this regime we refer to [37,21,38] and for other related approaches to [23,36].…”

Section: Results/numerical Experimentsmentioning

confidence: 99%

Active nematodynamics on curved surfaces -- the influence of geometric forces on motion patterns of topological defects

Nestler,

Voigt

2021

Preprint

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We derive and numerically solve a surface active nematodynamics model. We validate the numerical approach on a sphere and analyse the influence of hydrodynamics on the oscillatory motion of topological defects. For ellipsoidal surfaces the influence of geometric forces on these motion patterns is addressed by taking into account the effects of intrinsic as well as extrinsic curvature contributions. The numerical experiments demonstrate the stronger coupling with geometric properties if extrinsic curvature contributions are present and provide a possibility to tune flow and defect motion by surface properties.

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Section: Results/numerical Experimentsmentioning

confidence: 99%

Active nematodynamics on curved surfaces -- the influence of geometric forces on motion patterns of topological defects

Nestler,

Voigt

2021

Preprint

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“…We next show how AP and AAP navigation protocols are applicable to motion on curved landscapes. Selfpropelled motion on curved surfaces has recently earned growing attention both at individual [12,[54][55][56] and collective [57][58][59][60][61] levels. As stochastic motion taking place on a generic Riemannian manifold involves multiplicative noise, solving the corresponding MFPT equation ( 2) requires advanced computational techniques [62], which will introduce additional challenges for determining the stochastic optimal control (3).…”

Section: E Optimal Navigation On a Manifoldmentioning

confidence: 99%

Optimal navigation of microswimmers in complex and noisy environments

Piro¹,

Mahault²,

Golestanian³

2022

Preprint

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We design new navigation strategies for travel time optimization of microscopic self-propelled particles in complex and noisy environments. In contrast to strategies relying on the results of optimal control theory, these protocols allow for semi-autonomous navigation as they do not require control over the microswimmer motion via external feedback loops. Although the strategies we propose rely on simple principles, they show arrival time statistics strikingly similar to those obtained from stochastic optimal control theory, as well as performances that are robust to environmental changes and strong fluctuations. These features, as well as their applicability to more general optimization problems, make these strategies promising candidates for the realization of optimized semi-autonomous navigation.

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“…The effect of curvature on active nematics was explored in several recent studies [8][9][10] that extended previous equilibrium frameworks [11][12][13][14]. These theories are quadratic in the curvature tensor.…”

mentioning

confidence: 96%

Active Nematic Flows over Curved Surfaces

et al. 2022

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Cell monolayers are a central model system to tissue biophysics. In vivo, epithelial tissues are curved on the scale of microns, and curvature's role in the onset of spontaneous tissue flows is still not well-understood. Here, we present a hydrodynamic theory for an apical-basal asymmetric active nematic gel on a curved strip. We show that surface curvature qualitatively changes monolayer motion compared to flat space: the resulting flows can be thresholdless, and the transition to motion may change from continuous to discontinuous. Surface curvature, friction and active tractions are all shown to control the flow pattern selected: from simple shear to vortex chains.

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Spontaneous helical flows in active nematics lying on a cylindrical surface

Cited by 18 publications

References 26 publications

Active nematodynamics on curved surfaces -- the influence of geometric forces on motion patterns of topological defects

Active nematodynamics on curved surfaces -- the influence of geometric forces on motion patterns of topological defects

Optimal navigation of microswimmers in complex and noisy environments

Active Nematic Flows over Curved Surfaces

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