Related Experiment Video
Updated: Jul 19, 2025
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
9.6K
Coupled instabilities drive quasiperiodic order-disorder transitions in Faraday waves
Valeri Frumkin1, Shreyas Gokhale2
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical Review. E
|August 16, 2023
Summary
We discovered a new quasiperiodic transition mechanism in circular Faraday systems. This process involves instabilities creating and then healing defects, leading to repeating patterns on the route to chaos.
Area of Science:
- Physics
- Nonlinear Dynamics
- Pattern Formation
Background:
- Faraday systems exhibit complex patterns.
- Understanding transitions to chaos is crucial.
Purpose of the Study:
- Investigate quasiperiodic transitions in circular Faraday systems.
- Identify the mechanism driving these transitions.
Main Methods:
- Experimental observation of pattern dynamics.
- Analysis of instabilities and defect formation.
Main Results:
- Identified a novel quasiperiodic transition.
- Observed coupling between long-wave amplitude modulation and oscillatory transition phase instabilities.
- Demonstrated defect-induced stabilization and pattern recovery.
Conclusions:
- The study reveals an unexpected route to temporal quasiperiodicity.
- Coupling of instabilities drives a self-regulating defect cycle.
- Provides new insights into pattern formation and chaos in driven systems.
Related Concept Videos
01:30Electromagnetic Waves
8.8K
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...
8.8K
01:28Standing Waves in a Cavity
956
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:
956
01:06Forced Oscillations
6.6K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
6.6K
01:30Oscillations In An LC Circuit
2.3K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.3K
01:29Plane Electromagnetic Waves II
3.1K
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.
3.1K
01:04Modes of Standing Waves: II
879
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
879