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

Local Attraction01:22

Local Attraction

518
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...
518
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

14.3K
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...
14.3K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

6.9K
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...
6.9K
Non-conservative Forces01:17

Non-conservative Forces

8.1K
Non-conservative forces are dissipative forces such as friction or air resistance. These forces take energy away from a system as it progresses. Unlike conservative forces, non-conservative forces do not have potential energy associated with them. This is because the energy is lost to the system and cannot be turned into useful work later.
Also unlike their conservative counterparts, they are path-dependent; where the object starts and stops does matter. For example, a grinding wheel applies a...
8.1K
Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates01:21

Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates

931
Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
931
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

6.3K
It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
6.3K

You might also read

Related Articles

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

Sort by
Same author

Nonlinear Economic State Equilibria via van der Waals Modeling.

Entropy (Basel, Switzerland)·2024
Same author

Stochastic pairwise preference convergence in Bayesian agents.

Physical review. E·2024
Same author

Transition and self-healing process between chaotic and self-organized patterns observed during femtosecond laser writing.

Optics express·2015
Same author

Femtosecond-laser generation of self-organized bubble patterns in fused silica.

Optics express·2011
Same author

Brownian gyrator: a minimal heat engine on the nanoscale.

Physical review letters·2008
Same author

Resonator stability subject to dynamic random-tilt aberration.

Journal of the Optical Society of America. A, Optics, image science, and vision·2003

Related Experiment Video

Updated: May 5, 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

7.6K

Local versus nonlocal barycentric interactions in 1D agent dynamics.

Max-Olivier Hongler1, Roger Filliger, Olivier Gallay

  • 1Ecole Polytechnique Federale de Lausanne, STI-IMT-LPM, Station 17, CH-1015 Lausanne, Switzerland. max.hongler@epfl.ch.

Mathematical Biosciences and Engineering : MBE
|November 20, 2013
PubMed
Summary

This study explores agent interactions using solvable models, revealing a transition from diffusion to flocking behavior. The findings highlight how interaction range and strength modulation influence collective dynamics.

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

10.9K
Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.2K

Related Experiment Videos

Last Updated: May 5, 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

7.6K
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

10.9K
Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

4.2K

Area of Science:

  • Statistical mechanics
  • Collective behavior dynamics
  • Agent-based modeling

Background:

  • Understanding emergent patterns in systems with many interacting agents is crucial.
  • Local and nonlocal interactions significantly shape collective dynamics.
  • Analytical models are needed to precisely describe complex agent behaviors.

Purpose of the Study:

  • To investigate the mean-field dynamics of stochastic agents with nonlocal interactions in one dimension.
  • To analytically model and understand pattern formation and transitions in agent systems.
  • To explore the impact of interaction range and strength modulation on collective behavior.

Main Methods:

  • Utilizing analytically solvable models for mean-field dynamics.
  • Employing a discrete two-velocity Boltzmann dynamics framework.
  • Analyzing the effects of finite interaction range and barycentric modulation.

Main Results:

  • Observed a transition from a non-patterned diffusive regime to flocking behavior.
  • Identified flocking evolution as a solitary wave traveling at constant velocity.
  • Demonstrated the influence of interaction range span and modulation on emergent patterns.

Conclusions:

  • The interplay of interaction range and strength dictates emergent collective behavior.
  • Analytical models provide insights into transitions between diffusive and flocking states.
  • Solitary wave propagation characterizes flocking in this agent-based system.