Related Experiment Video
Updated: Jan 22, 2026
09:41
Emission Spectroscopic Boundary Layer Investigation during Ablative Material Testing in Plasmatron
Published on: June 9, 2016
12.8K
Edge Wave and Boundary Layer of Vortex Matter
1Kadanoff Center for Theoretical Physics, University of Chicago, 5620 South Ellis Ave, Chicago, Illinois 60637, USA.
Physical Review Letters
|July 9, 2019
Summary
Vortex matter exhibits a unique vorticity layer and edge wave, driven by topological vortex properties. These phenomena, linked to odd viscosity, are analogs of quantum Hall effect edge states.
Area of Science:
- Fluid dynamics
- Topological physics
- Nonlinear waves
Background:
- Vortex matter, a dense assembly of vortices in 2D incompressible flows, is observed in systems like rotating superfluids and turbulent flows.
- Understanding the collective behavior and emergent properties of vortex matter is crucial for various physics domains.
Purpose of the Study:
- To investigate the emergent phenomena in vortex matter arising from the topological nature of individual vortices.
- To characterize the properties of a newly identified nonlinear wave within the vorticity layer.
- To establish the connection between vortex matter dynamics and established mathematical groups and physical phenomena.
Main Methods:
- Analysis of vortex matter as a dense assembly of vortices, considering their topological properties.
- Mathematical modeling of the edge wave using the Benjamin-Davis-Ono equation.
- Identification of the dynamics with the Virasoro-Bott group action.
Main Results:
- Vortex matter exhibits a boundary layer of vorticity (vorticity layer) and a localized nonlinear wave (edge wave), solely due to vortex topology.
- These features are lost when vortex matter is treated as a continuous vorticity patch.
- The edge wave, governed by the Benjamin-Davis-Ono equation, displays solitons with quantized vorticity, revealing topological dynamics.
- Odd viscosity is identified as the cause of the edge wave and vorticity layer.
- The dynamics are linked to the Virasoro-Bott group, with odd viscosity as a central extension parameter.
Conclusions:
- The topological nature of vortices fundamentally dictates the behavior of vortex matter, leading to emergent structures like vorticity layers and edge waves.
- The edge wave serves as a hydrodynamic analog to edge states in the fractional quantum Hall effect, highlighting a deep connection between seemingly disparate physical systems.
- Odd viscosity plays a critical role in the dynamics and emergent properties of vortex matter.
More Related Videos
10:29Experimental Methodology for Estimation of Local Heat Fluxes and Burning Rates in Steady Laminar Boundary Layer Diffusion Flames
Published on: June 1, 2016
12.3K
13:27Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface
Published on: June 8, 2015
9.2K
Related Concept Videos
01:18Boundary Layer Characteristics
591
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
591
01:30Electromagnetic Waves in Matter
3.9K
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore,...
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore,...
3.9K
02:49Classifying Matter by State
102.7K
Chemistry is the study of matter and the changes it undergoes. Matter is anything that has mass and occupies space. Matter is all around us; the air, water, soil, mountains, even our bodies are all examples of matter. Matter is divided into three states — solid, liquid, and gas — that are commonly found on earth. The fourth state of matter, plasma, occurs naturally in the interiors of stars.
102.7K
02:57Physical and Chemical Properties of Matter
165.6K
The characteristics that enable us to distinguish one substance from another are called properties.
165.6K
03:35Classifying Matter by Composition
89.8K
Matter: Pure Substances and Mixtures
According to its composition, the matter can be classified into two broad categories — pure substances and mixtures.
A pure substance is a form of matter that has a constant composition throughout with uniform properties. For example, any sample of sucrose has the same composition and same physical properties, such as melting point, color, and sweetness, regardless of the source from which it is isolated.
A mixture is composed of two or...
According to its composition, the matter can be classified into two broad categories — pure substances and mixtures.
A pure substance is a form of matter that has a constant composition throughout with uniform properties. For example, any sample of sucrose has the same composition and same physical properties, such as melting point, color, and sweetness, regardless of the source from which it is isolated.
A mixture is composed of two or...
89.8K
02:59The Atomic Theory of Matter
127.0K
The earliest recorded discussion of the basic structure of matter comes from ancient Greek philosophers. Leucippus and Democritus argued that all matter was composed of small, finite particles that they called atomos, meaning “indivisible.” Later, Aristotle and others came to the conclusion that matter consisted of various combinations of the four “elements” — fire, earth, air, and water — and could be infinitely divided. Interestingly, these philosophers...
127.0K