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

First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.7K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.7K
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

1.3K
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....
1.3K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

12.6K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
12.6K
The de Broglie Wavelength02:32

The de Broglie Wavelength

32.2K
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...
32.2K
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

674
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
674
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

3.6K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
3.6K

You might also read

Related Articles

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

Sort by
Same author

Clinical Utility of Opportunistic Genome-Wide cfDNA Prenatal Screening in Intermediate-Risk Pregnancies.

Genes·2025
Same author

Pork belly quality variation and its association with fatness level.

Meat science·2024
Same author

Ergodicity and slow relaxation in the one-dimensional self-gravitating system.

Physical review. E·2023
Same author

A data-driven model for COVID-19 pandemic - Evolution of the attack rate and prognosis for Brazil.

Chaos, solitons, and fractals·2021
Same author

Relaxation processes in long-range lattices.

Physical review. E·2019
Same author

Influence of surfactants and proteins on the properties of wet edible calcium alginate meat coatings.

Food research international (Ottawa, Ont.)·2018
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: Dec 5, 2025

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

8.9K

Classical Goldstone modes in long-range interacting systems.

T M Rocha Filho1, B Marcos2

  • 1Instituto de Física and International Center for Condensed Matter Physics, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Asa Norte, 70919-970-Brasília, Brazil.

Physical Review. E
|October 20, 2020
PubMed
Summary
This summary is machine-generated.

A soft mode in classical systems with long-range interactions indicates symmetry breaking. This leads to superdiffusive center-of-mass motion, transitioning to normal diffusion over time, as seen in the Hamiltonian mean-field model.

More Related Videos

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.3K
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.8K

Related Experiment Videos

Last Updated: Dec 5, 2025

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

8.9K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.3K
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.8K

Area of Science:

  • Statistical Mechanics
  • Complex Systems Physics

Background:

  • Continuous symmetry breaking in classical systems with long-range interactions leads to soft modes.
  • Periodic coordinates associated with symmetry breaking are crucial for emergent dynamics.

Purpose of the Study:

  • To investigate the dynamics of the center of mass in systems exhibiting soft modes.
  • To analyze the transition from superdiffusion to normal diffusion.
  • To explore chaotic behavior arising from soft mode coupling.

Main Methods:

  • Theoretical analysis of systems with long-range interactions.
  • Focus on systems with periodic symmetry-breaking coordinates.
  • Detailed examination of the Hamiltonian Mean-Field (HMF) model.

Main Results:

  • Soft modes are present when continuous symmetries are spontaneously broken.
  • Superdiffusive center-of-mass motion is observed due to degenerate stationary states and thermal fluctuations.
  • The motion transitions to normal diffusion over extended timescales.
  • Coupling of soft modes to particle motion can induce significant chaos.

Conclusions:

  • Soft modes are key indicators of emergent collective behavior in classical long-range systems.
  • The study provides a theoretical framework for understanding anomalous diffusion and chaos.
  • The Hamiltonian Mean-Field model serves as a valuable testbed for these phenomena.