Related Experiment Video
Updated: Jun 30, 2025
07:42
Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
Published on: December 15, 2021
3.1K
Self-trapping of vortex crystals via competing nonlinearities
Angel Paredes1, Humberto Michinel1
1Instituto de Física e Ciencias Aeroespaciais (IFCAE), Universidade de Vigo. Campus de As Lagoas, E-32004 Ourense, Spain.
Physical Review. E
|March 16, 2024
Summary
Researchers discovered stable self-trapped vortex crystals, a novel nonlinear wave formation. These crystals exhibit unique self-reconstruction properties and their stability depends on their size.
Area of Science:
- Nonlinear Optics
- Mathematical Physics
- Wave Phenomena
Background:
- Nonlinear Schrödinger equation describes wave propagation in various media.
- Vortices and antivortices are topological defects in wave fields.
- Self-trapped nonlinear waves, or solitons, maintain their shape during propagation.
Purpose of the Study:
- To investigate the existence of self-trapped nonlinear waves with multiple phase singularities.
- To explore configurations with an antivortex surrounded by a triangular arrangement of vortices within a hosting soliton.
- To identify stable self-trapped vortex crystals in a cubic-quintic nonlinear Schrödinger equation model.
Main Methods:
- Numerical simulations of the cubic-quintic nonlinear Schrödinger equation.
- Analysis of wave field configurations involving vortices and antivortices.
- Investigation of stationary patterns and stability properties of the identified structures.
Main Results:
- Discovery of stationary patterns interpreted as stable self-trapped vortex crystals.
- First example of such vortex crystal configurations with space-independent potentials.
- Stability is norm-dependent, transitioning from unstable to stable with increasing size, showing a puzzling self-reconstruction in an intermediate region.
Conclusions:
- Stable self-trapped vortex crystals can exist in nonlinear wave systems.
- The observed self-reconstruction phenomenon warrants further investigation.
- These findings advance the understanding of complex nonlinear wave dynamics and topological defect structures.
Related Concept Videos
01:28Standing Waves in a Cavity
919
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:
919
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
01:13Torque On A Current Loop In A Magnetic Field
4.0K
The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
4.0K
01:17Force On A Current Loop In A Magnetic Field
3.2K
Magnetic forces on wires carrying current are most frequently applied in motors. A DC motor is a device that converts electrical energy into mechanical work. In motors, wire loops are enclosed in a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate. The direction of the current is reversed once the loop's surface area is lined up with the magnetic field, causing a constant torque on the loop. During the process,...
3.2K
01:23Atomic Nuclei: Nuclear Relaxation Processes
652
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
652
01:17Magnetic Damping
457
Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
457