Jove
Visualize
Contact Us

Related Concept Videos

Principle of Linear Impulse and Momentum for a System of Particles01:21

Principle of Linear Impulse and Momentum for a System of Particles

457
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...
457
Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

421
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...
421
Moment of Inertia01:14

Moment of Inertia

16.3K
The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
If a rigid body is rotating about an axis but is not in translational motion, its translational kinetic energy is zero. However, since each particle undergoes rotational motion, it possesses non-zero velocity and kinetic energy. Thus, the kinetic energy of the rigid body, which is the sum of the...
16.3K
Principle of Linear Impulse and Momentum for a Single Particle01:20

Principle of Linear Impulse and Momentum for a Single Particle

1.2K
Linear momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, having a magnitude equal to the product of its mass and its velocity, and direction along the object's velocity. On the other hand, linear impulse, also known as momentum impulse, is a concept in physics related to the change in the linear momentum of an object. Impulse is a vector quantity defined as the product of force and the time over which the force is applied.
Delving...
1.2K
Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving01:23

Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving

811
Consider a wooden box and a cylinder of known masses m1 and m2, respectively,  hanging from a ceiling with the help of a massless pulley system.
811
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

1.9K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.9K

You might also read

Related Articles

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

Sort by
Same author

Correlated escape of active particles across a potential barrier.

The Journal of chemical physics·2021
Same author

Collective effects in confined active Brownian particles.

The Journal of chemical physics·2021
Same author

Active matter at high density: Velocity distribution and kinetic temperature.

The Journal of chemical physics·2020
Same author

Transport of active particles in an open-wedge channel.

The Journal of chemical physics·2019
Same author

Active escape dynamics: The effect of persistence on barrier crossing.

The Journal of chemical physics·2019
Same author

Pressure in an exactly solvable model of active fluid.

The Journal of chemical physics·2017
Same journal

The influence of chirality on the macroscopic behavior of multiferroic smectic phases.

The Journal of chemical physics·2026
Same journal

Polaron transformed canonically consistent quantum master equation.

The Journal of chemical physics·2026
Same journal

The x-ray absorption spectrum of the propargyl radical C3H3●.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. I. Conformer- and isomer-resolved infrared spectra.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. II. Isomer-resolved unimolecular dynamics.

The Journal of chemical physics·2026
Same journal

Quantum state-to-state dynamics studies of the C(3P) + OH(X2Π) → CO(a3Π) + H(2S) reaction based on a new HCO(12A″) potential energy surface.

The Journal of chemical physics·2026
See all related articles
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 21, 2025

Image-based Lagrangian Particle Tracking in Bed-load Experiments
10:32

Image-based Lagrangian Particle Tracking in Bed-load Experiments

Published on: July 20, 2017

9.3K

Inertial self-propelled particles.

Lorenzo Caprini1, Umberto Marini Bettolo Marconi1

  • 1Scuola di Scienze e Tecnologie, Università di Camerino, Via Madonna delle Carceri, I-62032 Camerino, Italy.

The Journal of Chemical Physics
|January 15, 2021
PubMed
Summary
This summary is machine-generated.

Inertia significantly impacts self-propelled particle dynamics in viscous solvents, altering trajectories and correlations. This study reveals key non-equilibrium behaviors and pressure changes in the underdamped regime.

More Related Videos

Reactive Inkjet Printing and Propulsion Analysis of Silk-based Self-propelled Micro-stirrers
09:23

Reactive Inkjet Printing and Propulsion Analysis of Silk-based Self-propelled Micro-stirrers

Published on: April 26, 2019

8.0K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.9K

Related Experiment Videos

Last Updated: Nov 21, 2025

Image-based Lagrangian Particle Tracking in Bed-load Experiments
10:32

Image-based Lagrangian Particle Tracking in Bed-load Experiments

Published on: July 20, 2017

9.3K
Reactive Inkjet Printing and Propulsion Analysis of Silk-based Self-propelled Micro-stirrers
09:23

Reactive Inkjet Printing and Propulsion Analysis of Silk-based Self-propelled Micro-stirrers

Published on: April 26, 2019

8.0K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.9K

Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Self-propelled particles (SPPs) are crucial in various fields, from biological systems to synthetic materials.
  • Understanding SPP behavior in viscous media requires accounting for inertial effects, often neglected in simpler models.

Purpose of the Study:

  • To investigate the influence of inertia on the dynamics and statistical properties of underdamped active Ornstein-Uhlenbeck particles.
  • To analyze correlations between position, velocity, and self-propulsion forces in non-equilibrium steady states.
  • To examine the impact of inertia on virial pressure and correlation functions.

Main Methods:

  • Employing the underdamped active Ornstein-Uhlenbeck model for theoretical analysis.
  • Studying both potential-free and harmonically confined particle systems.
  • Calculating correlation matrices and steady-state probability distributions.

Main Results:

  • Identified significant equal-time correlations between particle velocity and active force in the non-equilibrium steady state.
  • Observed inertia-induced non-monotonic decay in position and velocity two-time correlation functions.
  • Quantified changes in virial pressure when transitioning from overdamped to underdamped regimes.

Conclusions:

  • Inertia plays a critical role in shaping the dynamics and statistical mechanics of active matter systems.
  • The underdamped active Ornstein-Uhlenbeck model provides a framework for understanding complex correlations and pressure effects.
  • Results extend to interacting active particle chains, highlighting broader applicability.