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

The de Broglie Wavelength02:32

The de Broglie Wavelength

35.1K
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...
35.1K
Standing Waves01:17

Standing Waves

5.9K
Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
5.9K
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

1.7K
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:
1.7K
Fermi Level Dynamics01:12

Fermi Level Dynamics

1.1K
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
1.1K
Propagation of Waves01:07

Propagation of Waves

3.4K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
3.4K
Equations of Wave Motion01:02

Equations of Wave Motion

9.2K
Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
9.2K

You might also read

Related Articles

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

Sort by
Same author

Nonlinear Stability in a Free Boundary Model of Active Locomotion.

Archive for rational mechanics and analysis·2025
Same author

Active drive towards elastic spinodals.

Physical review. E·2025
Same author

Discrete breathers in a mechanical metamaterial.

Physical review. E·2023
Same author

Passive viscoelastic response of striated muscles.

Soft matter·2022
Same author

Rarefactive lattice solitary waves with high-energy sonic limit.

Physical review. E·2020
Same author

Rigidity-Controlled Crossover: From Spinodal to Critical Failure.

Physical review letters·2020

Related Experiment Video

Updated: Apr 21, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K

Solitary waves in a nonintegrable Fermi-Pasta-Ulam chain.

Lev Truskinovsky1, Anna Vainchtein2

  • 1LMS, CNRS-UMR 7649, École Polytechnique, Route de Saclay, 91128 Palaiseau, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 7, 2014
PubMed
Summary

Researchers found exact solutions for solitary waves in a Fermi-Pasta-Ulam chain. These solutions describe wave behaviors from delocalized to highly localized particle motion.

More Related Videos

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
07:44

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

15.7K
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

9.8K

Related Experiment Videos

Last Updated: Apr 21, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K
Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
07:44

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

15.7K
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

9.8K

Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Mathematical physics

Background:

  • The Fermi-Pasta-Ulam (FPU) chain is a classical model used to study nonlinear dynamics and the emergence of wave phenomena.
  • Understanding discrete solitary waves is crucial for various fields, including solid-state physics and mechanical systems.

Purpose of the Study:

  • To present a comprehensive family of exact solutions for discrete solitary waves.
  • To characterize the full spectrum of wave behaviors in a nonintegrable FPU chain.

Main Methods:

  • Derivation of exact analytical solutions.
  • Analysis of the parameter space to cover different wave regimes.

Main Results:

  • A rich family of exact solutions for discrete solitary waves in the nonintegrable FPU chain was identified.
  • Solutions encompass both delocalized quasicontinuum waves and highly localized anticontinuum excitations.
  • Observed wave behaviors range from near-sonic velocities to single-particle motion.

Conclusions:

  • The presented solutions provide a unified framework for understanding diverse solitary wave phenomena in the FPU model.
  • This work offers valuable insights into the complex dynamics of discrete nonlinear systems.