Complete absorption of topologically protected waves

Baardink, Guido; Cassella, Gino; Neville, Luke; Milewski, Paul A.; Souslov, Anton

doi:10.1103/physreve.104.014603

Cited by 7 publications

(5 citation statements)

References 77 publications

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“…In systems without antisymmetric stress, odd viscosity induces distinct chiral surface waves with dispersion ≈ −2ν o q|q| at a free surface (with a no-stress boundary condition), in which (53)(54)(55). Another class of boundary effects are topological sound waves (40,56,57). These occur in compressible odd viscous flows under the combined influence of the Lorentz (or Coriolis) body force and odd viscosity.…”

Section: Boundary Effectsmentioning

confidence: 99%

Odd Viscosity and Odd Elasticity

Fruchart

Scheibner

Vitelli

2023

Annu. Rev. Condens. Matter Phys.

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Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display additional linear response coefficients known as odd viscosity and odd elasticity. We first introduce odd viscosity and odd elasticity from a continuum perspective, with an emphasis on their rich phenomenology, including transverse responses, modified dislocation dynamics, and topological waves. We then provide an overview of systems that display odd viscosity and odd elasticity. These systems range from quantum fluids and astrophysical gases to active and driven matter. Finally, we comment on microscopic mechanisms by which odd viscosity and odd elasticity arise.

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Section: Boundary Effectsmentioning

confidence: 99%

Odd Viscosity and Odd Elasticity

Fruchart

Scheibner

Vitelli

2023

Annu. Rev. Condens. Matter Phys.

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“…In systems without antisymmetric stress, odd viscosity induces distinct chiral surface waves with dispersion Ω ≈ −2νoq|q| at a free surface (with a no-stress boundary condition) (32,33,34). Another class of boundary effects are topological sound waves (35,36,37). These occur in compressible odd viscous flows, under the combined influence of the Lorentz (or Coriolis) body force and odd viscosity.…”

Section: Boundary Effectsmentioning

confidence: 99%

Odd Viscosity and Odd Elasticity

Fruchart¹,

Scheibner²,

Vitelli³

2022

Preprint

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Elasticity typically refers to a material's ability to store energy, while viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display additional linear response coefficients known as odd viscosity and odd elasticity. We first introduce odd elasticity and odd viscosity from a continuum perspective, with an emphasis on their rich phenomenology, including transverse responses, modified dislocation dynamics, and topological waves. We then provide an overview of systems that display odd viscosity and odd elasticity. These systems range from quantum fluids, to astrophysical gasses, to active and driven matter. Finally, we comment on microscopic mechanisms by which odd elasticity and odd viscosity arise.

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“…Averaging the incompressibility condition (11), and making use of the kinematic boundary conditions ( 6)- (7), we obtain the exact conservation of mass equation…”

Section: Shallow-water Approximation and Depth Averagingmentioning

confidence: 99%

“…where we have used that h and w are zero at z = 0, and we have included the upper boundary terms in square brackets. Both of the boundary terms are in fact zero: the first follows from the kinematic boundary condition (7), while the second follows from the original construction of the stress tensor. Significantly, the odd-viscous contributions on the left-hand side in ( 22) can be rewritten as a sum of two terms:…”

Section: Shallow-water Approximation and Depth Averagingmentioning

confidence: 99%

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Nonlinear shallow-water waves with vertical odd viscosity

Doak¹,

Baardink²,

Milewski³

et al. 2022

Preprint

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The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and strongly non-linear waves in a three-dimensional fluid with vertical odd viscosity. Our model describes the free surface of a shallow fluid composed of nearly vertical vortex filaments, which all stand perpendicular to the surface. We find that the odd viscosity in this configuration induces previously unexplored non-linear effects in shallow-water waves, arising from both stresses on the surface and stress gradients in the bulk. By assuming weak nonlinearity, we find reduced equations including Korteweg-de Vries (KdV), Ostrovsky, and Kadomtsev-Petviashvilli (KP) equations with modified coefficients. At sufficiently large odd viscosity, the dispersion changes sign, allowing for compact two-dimensional solitary waves. We show that odd viscosity and surface tension have the same effect on the free surface, but distinct signatures in the fluid flow. Our results describe the collective dynamics of many-vortex systems, which can also occur in oceanic and atmospheric geophysics.

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Complete absorption of topologically protected waves

Cited by 7 publications

References 77 publications

Odd Viscosity and Odd Elasticity

Odd Viscosity and Odd Elasticity

Odd Viscosity and Odd Elasticity

Nonlinear shallow-water waves with vertical odd viscosity

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