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 Experiment Video

Updated: Nov 6, 2025

Author Spotlight: Collective Behavioral Analysis of the Nematode, Caenorhabditis elegans
03:32

Author Spotlight: Collective Behavioral Analysis of the Nematode, Caenorhabditis elegans

Published on: August 25, 2023

1.2K

Non-local interactions in collective motion.

Arthur E B T King1,2, Matthew S Turner2,3,4

  • 1Department of Mathematics, University of Warwick, Coventry CV4 7AL, UK.

Royal Society Open Science
|May 7, 2021
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

Local Attraction01:22

Local Attraction

176
Local attraction refers to disturbances in compass readings caused by magnetic influences from nearby objects such as metal fences, buried pipes, vehicles, buildings, power lines, or natural iron ore deposits. Small items like wristwatches, steel tools, or belt buckles can also interfere with the compass by creating local magnetic fields that distort the Earth's natural magnetic field. These distortions lead to inaccurate readings, posing navigation and land surveying challenges.Local...
176
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

10.4K
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...
10.4K
Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

384
In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
384
Equation of Motion: Center of Mass01:14

Equation of Motion: Center of Mass

378
The equation of motion for a single particle can be expanded to encompass a system of particles consisting of n particles. For any arbitrarily chosen particle within this system, the net force acting upon it is the aggregate of both internal and external forces. Extending this principle to all particles within the system results in the equation of motion for the entire assembly.
Internal forces between any pair of particles manifest as collinear pairs of equal magnitude but opposite directions,...
378
Principle of Linear Impulse and Momentum for a System of Particles01:21

Principle of Linear Impulse and Momentum for a System of Particles

416
In the context of a system of particles moving relative to an inertial frame of reference, the equation of motion is a crucial tool for understanding the dynamics of the system. This equation, which accounts for external forces acting on each particle, plays a fundamental role in describing the system's behavior.
Notably, internal forces between particles, occurring in equal and opposite collinear pairs, cancel out and are not part of the equation of motion. This exclusion simplifies the...
416
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.4K
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...
7.4K

You might also read

Related Articles

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

Sort by
Same author

The theory of epidemics with altruism.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

A bending rigidity parameter for stress granule condensates.

Science advances·2023
Same journal

Desert lizards modulate nutritional responses to match seasonal biological needs.

Royal Society open science·2026
Same journal

Multi-generational fidelity, ecological and social determinants of roosting in a cooperatively breeding bird (<i>Argya squamiceps</i>).

Royal Society open science·2025
Same journal

Multifaceted polarization and information reliability in climate change discussions on social media platforms.

Royal Society open science·2025
Same journal

Comparing the kinematics related to inflicted head injury between violent shaking of a 6-week-old and a 1-year-old infant surrogate.

Royal Society open science·2025
Same journal

Partner choice increases observed reciprocity-based cooperation but decreases unobserved stake-based cooperation.

Royal Society open science·2025
Same journal

Importation models for travel-related SARS-CoV-2 cases reported in Newfoundland and Labrador during the COVID-19 pandemic.

Royal Society open science·2025
See all related articles

Collective animal motion shows strong velocity correlations at short distances. However, these correlations can arise even with long-range interactions, challenging assumptions about short-range forces in collective behavior models.

Area of Science:

  • Collective Animal Behavior
  • Mathematical Modeling
  • Physics of Complex Systems

Background:

  • Animal groups often display velocity correlations between neighbors.
  • Strongest correlations typically occur at the shortest inter-animal distances.
  • This observation has historically favored models based on short-range interactions.

Purpose of the Study:

  • To investigate if strong short-distance velocity correlations necessitate short-range interactions in collective motion.
  • To challenge the prevailing assumption that observed correlations imply local forces.

Main Methods:

  • Development of a minimal mathematical model for collective motion.
  • The model was designed to accommodate interactions of arbitrary range (local and non-local).
Keywords:
collective dynamicscollective motionflockingself-organizationself-propelled particlesswarming

More Related Videos

The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.6K
Traction Microscopy Integrated with Microfluidics for Chemotactic Collective Migration
10:53

Traction Microscopy Integrated with Microfluidics for Chemotactic Collective Migration

Published on: October 13, 2019

7.2K

Related Experiment Videos

Last Updated: Nov 6, 2025

Author Spotlight: Collective Behavioral Analysis of the Nematode, Caenorhabditis elegans
03:32

Author Spotlight: Collective Behavioral Analysis of the Nematode, Caenorhabditis elegans

Published on: August 25, 2023

1.2K
The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.6K
Traction Microscopy Integrated with Microfluidics for Chemotactic Collective Migration
10:53

Traction Microscopy Integrated with Microfluidics for Chemotactic Collective Migration

Published on: October 13, 2019

7.2K
  • Analysis of emergent velocity-velocity correlations within the model.

    • Main Results:

    • The model demonstrated that strong velocity correlations can emerge at shortest distances.
    • These strong correlations persist even when interactions are explicitly non-local.
    • The findings serve as a counterexample to the short-range interaction hypothesis.

    Conclusions:

    • Observed short-distance velocity correlations in collective motion do not exclusively imply short-range interactions.
    • Non-local interactions can also generate strong correlations at short distances.
    • This highlights the need to consider broader interaction ranges when modeling collective animal behavior.