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Related Concept Videos

Generalized Hooke's Law01:22

Generalized Hooke's Law

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The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
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Euler's Equations of Motion01:28

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The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
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Electron hydrodynamics in anisotropic materials.

Georgios Varnavides1,2,3, Adam S Jermyn4, Polina Anikeeva2,3

  • 1Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA.

Nature Communications
|September 19, 2020
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Summary
This summary is machine-generated.

Exploring electron fluid behavior in anisotropic materials reveals novel phenomena. Crystal symmetries imprint large-scale flow patterns, and electronic viscosity effects can be quantified.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Fluid dynamics

Background:

  • Classical fluid viscosity is constrained by rotational invariance.
  • Anisotropic materials break this symmetry, enabling novel phenomena.
  • Electron hydrodynamics in materials beyond graphene remains largely unexplored.

Purpose of the Study:

  • Investigate electron fluid behaviors using general viscosity tensors in 2D and 3D.
  • Explore consequences of broken symmetries (rotational, time-reversal) on electron hydrodynamics.
  • Identify experimental methods to quantify electronic viscosity.

Main Methods:

  • Theoretical exploration of viscosity tensors constrained by thermodynamics and crystal symmetries.
  • Analysis of electron fluid dynamics in 2D and 3D anisotropic systems.
  • Consideration of time-reversal symmetry breaking and its impact.

Main Results:

  • Discovered nontrivial electron fluid behaviors in both 2D and 3D anisotropic materials.
  • Observed imprints of crystal symmetry on large-scale flow patterns.
  • Identified a non-dissipative Hall component of viscosity when time-reversal symmetry is broken, which persists in anisotropic materials.
  • Found coupling between electronic fluid stress and vorticity without breaking time-reversal symmetry in anisotropic systems.

Conclusions:

  • Anisotropic materials exhibit a rich landscape for electron hydrodynamics beyond simple models like graphene.
  • Crystal symmetry plays a crucial role in dictating large-scale electron flow.
  • Novel phenomena, including non-dissipative viscosity components and stress-vorticity coupling, are possible in these systems.
  • Proposed experimental geometries offer pathways to measure these electronic viscosity effects.