Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Types of Damping01:20

Types of Damping

6.4K
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
6.4K
Damped Oscillations01:07

Damped Oscillations

5.7K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
5.7K
Kinetic and Potential Energy of a Wave01:10

Kinetic and Potential Energy of a Wave

3.7K
All forms of waves carry energy; this is directly visualized in nature. For instance, the waves of earthquakes are so intense that they can shake huge concrete buildings, causing them to fall. Loud sounds can damage nerve cells in the inner ear, causing permanent hearing loss. The waves of the oceans can erode beaches. 
In mechanical waves, the amount of energy is related to their amplitude and frequency. In the context of the above examples, large-amplitude earthquakes produce large...
3.7K
Magnetic Damping01:17

Magnetic Damping

450
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...
450
The de Broglie Wavelength02:32

The de Broglie Wavelength

25.8K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.8K
Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

1.5K
The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
1.5K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Geolocalization of water-waves origin within water distribution networks using time reversal of first event detection.

Water research·2023
Same author

New objective measurements of semen wave motion are associated with fertility in sheep.

Reproduction, fertility, and development·2018
Same author

Hydrodynamic interactions among large populations of swimming micro-organisms.

Computer methods in biomechanics and biomedical engineering·2013
Same author

Collective motility of sperm in confined cells.

Computer methods in biomechanics and biomedical engineering·2013
Same author

Flow and particles deposition in anatomically realistic airways.

Computer methods in biomechanics and biomedical engineering·2012
Same author

Pressure drop reconstruction in the aqueduct of sylvius from MRI acquisitions.

Computer methods in biomechanics and biomedical engineering·2012
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Jun 23, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

534

Quantum graph wave external triggering: Energy transfer and damping.

F Plouraboué1

  • 1<a href="https://ror.org/025nmxp11">Institut de Mécanique des Fluides de Toulouse (IMFT)</a>, Université de Toulouse, CNRS, INPT, UPS, Toulouse, France.

Physical Review. E
|June 22, 2024
PubMed
Summary
This summary is machine-generated.

This study analyzes wave propagation in networks using quantum graph theory. Researchers derived conditions for maximal energy transfer and calculated exponential damping rates for wave modes.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K

Related Experiment Videos

Last Updated: Jun 23, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

534
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.0K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K

Area of Science:

  • Quantum mechanics
  • Mathematical physics
  • Network theory

Background:

  • Wave propagation in complex networks is crucial for understanding various physical phenomena.
  • Existing models often lack detailed analysis of energy transfer and dissipation mechanisms.
  • Quantum graph theory provides a powerful framework for studying wave behavior in discrete structures.

Purpose of the Study:

  • To analyze wave train propagation in a network modeled as a metric graph under external perturbation.
  • To derive an analytical solution for the induced wave train, including its spectrum and mode amplitudes.
  • To determine conditions for maximal energy transfer to specific modes and compute wave damping rates.

Main Methods:

  • Application of quantum graph theory to model wave propagation.
  • Development of a complete analytical solution for the wave train.
  • Utilizing multiple time-scale asymptotic analysis to compute boundary-layer dissipation.
  • Derivation of conditions for energy transfer maximization.

Main Results:

  • A complete analytical solution for the induced wave train was obtained, characterizing its spectrum and mode amplitudes.
  • The precise conditions for maximizing energy transfer from an external trigger to specific natural modes were derived.
  • Exponential damping rates were explicitly calculated and linked to mode eigenvalues, with individual mode energies determined.

Conclusions:

  • The study provides a comprehensive analytical framework for understanding wave propagation and energy dynamics in quantum graphs.
  • The findings offer insights into efficient energy transfer mechanisms and wave damping in network systems.
  • These results have significant implications for the physics of waves within various network structures.