Related Experiment Video
Updated: May 16, 2026
09:06
Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
Published on: March 24, 2019
Alternating hexagonal and striped patterns in Faraday surface waves
Nicolas Périnet1, Damir Juric, Laurette S Tuckerman
1Faculty of Science, University of Ontario Institute of Technology (UOIT), Oshawa, Ontario, Canada L1H 7K4.
Physical Review Letters
|December 11, 2012
Summary
Direct numerical simulations reveal pattern alternation in Faraday waves within hexagonal domains. Quasihexagons and beaded stripes emerge and change over time, with analyzed symmetries and spectra.
Area of Science:
- Fluid dynamics
- Pattern formation
Background:
- Faraday waves are surface waves formed on a fluid layer subjected to vertical acceleration.
- Understanding their dynamics is crucial for fluid mechanics and nonlinear physics.
Purpose of the Study:
- To investigate the long-term pattern dynamics of Faraday waves in a minimal hexagonal domain.
- To analyze the symmetries and spatial Fourier spectra of emergent patterns.
Main Methods:
- Direct numerical simulation (DNS) was employed.
- Simulations were conducted in a minimal hexagonal domain to study pattern evolution.
Main Results:
- Observation of pattern alternation between quasihexagons and beaded stripes over extended simulation times.
- Analysis of the symmetries inherent in these dynamic patterns.
- Characterization of the spatial Fourier spectra corresponding to the observed patterns.
Conclusions:
- The study identifies and analyzes two distinct, alternating patterns in Faraday waves within a hexagonal domain.
- Symmetry and spectral analysis provide insights into the underlying physics governing these pattern transitions.
Related Concept Videos
02:18Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
01:15Standing Electromagnetic Waves
Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
01:30Plane Electromagnetic Waves I
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
The EM field is assumed to be a...
01:29Plane Electromagnetic Waves II
Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
01:30Electromagnetic Waves
James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...
01:28Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by: