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

Implicit Differentiation01:25

Implicit Differentiation

120
In classical mechanics, motion is often described through relationships between spatial coordinates and time. A car moving along a straight highway with constant acceleration serves as a simple case where velocity is an explicit function of time. This scenario results in a linear equation, enabling straightforward analysis using basic differentiation techniques.In contrast, a satellite in circular orbit follows a path defined by an implicit function. The position of the satellite is constrained...
120
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

1.2K
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.
1.2K
Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

5.6K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
5.6K
Stokes' Law01:20

Stokes' Law

3.3K
Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
3.3K
Conservation of Mass in Moving, Nondeforming Control Volume01:14

Conservation of Mass in Moving, Nondeforming Control Volume

1.4K
Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
In the context of a detention basin, the conservation of mass states that the total mass of water entering the basin must equal the mass leaving the basin plus any accumulation of...
1.4K
Principle of Linear Impulse and Momentum for a Single Particle01:20

Principle of Linear Impulse and Momentum for a Single Particle

1.8K
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...
1.8K

You might also read

Related Articles

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

Sort by
Same author

EXPRESS: Deterministic Compressed Sensing in Time-Domain Spectroscopy.

Applied spectroscopy·2026
Same author

Dual-Zero-Scattering in Diffusive Transport.

Physical review letters·2026
Same author

Active phase separation triggered by chemotactic defects.

The Journal of chemical physics·2026
Same author

Lévy Diffusion Under Power-Law Stochastic Resetting.

Entropy (Basel, Switzerland)·2026
Same author

Training strategies for competing multiagent dynamical systems.

Physical review. E·2026
Same author

Singing for lung health following completion of pulmonary rehabilitation: feasibility of a randomised controlled trial.

BMJ open respiratory research·2026

Related Experiment Video

Updated: Mar 25, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.5K

Nonholonomic diffusion of a stochastic sled.

Peter Jung1, Giampiero Marchegiani2, Fabio Marchesoni2,3

  • 1Department of Physics and Astronomy, and Quantitative Biology Institute, Ohio University, Athens, Ohio 45701, USA.

Physical Review. E
|February 13, 2016
PubMed
Summary

This study explores the complex dynamics of a nonholonomic mechanical system, a sled, under random forces. Researchers observed smooth motion punctuated by tumbling and reversals, with self-propulsion altering its diffusivity.

More Related Videos

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
10:20

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.9K
The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

9.1K

Related Experiment Videos

Last Updated: Mar 25, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.5K
Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
10:20

Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

Published on: September 5, 2019

8.9K
The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

9.1K

Area of Science:

  • Mechanical Systems
  • Nonholonomic Dynamics
  • Statistical Physics

Background:

  • A sled is a mechanical model constrained to move in a specific orientation.
  • Nonholonomic systems exhibit unique motion characteristics due to constraints.
  • Understanding random dynamics is crucial in various scientific fields.

Purpose of the Study:

  • To investigate the dynamics of a nonholonomic sled under random forces.
  • To characterize the emergent behaviors, such as tumbling and reversals.
  • To analyze the effect of self-propulsion on the system's diffusivity.

Main Methods:

  • Modeling a sled as a nonholonomic mechanical system.
  • Subjecting the model to random forces and analyzing its trajectory.
  • Introducing self-propulsion to study its influence on motion.

Main Results:

  • The random dynamics exhibit smooth motion interspersed with episodes of persistent tumbling and sharp reversals.
  • These dynamics resemble the random walks observed in bacterial cells.
  • Self-propulsion can either enhance or suppress the sled's diffusivity based on force parameters.

Conclusions:

  • Nonholonomic systems like the sled display surprisingly rich dynamics when subjected to random forces.
  • The observed tumbling and reversal behaviors offer insights into complex system motion.
  • Self-propulsion provides a mechanism to control the diffusion of such systems.