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

Deriving the Speed of Sound in a Liquid01:09

Deriving the Speed of Sound in a Liquid

616
As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
The speed of sound in fluids can be derived by considering a mechanical wave...
616
Plastic Behavior01:21

Plastic Behavior

279
A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
279
Viscosity of Fluid01:19

Viscosity of Fluid

754
Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
754
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

307
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
307
Types of Damping01:20

Types of Damping

6.7K
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
6.7K
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

202
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
202

You might also read

Related Articles

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

Sort by
Same author

Transport properties of active particles moving on adjustable networks.

Soft matter·2026
Same author

Flocking as a continuous phase transition in self-aligning active crystals.

The Journal of chemical physics·2026
Same author

Active Particles in Tunable Compressible Environments.

Small science·2026
Same author

Dynamical Density Functional Theory for Dense Odd-Diffusive Fluids.

The journal of physical chemistry. B·2026
Same author

Translational and rotational temperature difference in coexisting phases of inertial active dumbbells.

The Journal of chemical physics·2026
Same author

Temperature overshooting in the Mpemba effect of frictional active matter.

Physical review. E·2026

Related Experiment Video

Updated: Sep 22, 2025

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.1K

Active Brownian motion with memory delay induced by a viscoelastic medium.

Alexander R Sprenger1, Christian Bair1, Hartmut Löwen1

  • 1Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany.

Physical Review. E
|May 20, 2022
PubMed
Summary

This study introduces a new framework for active Brownian motion, incorporating memory effects in viscoelastic fluids. This research helps understand particle dynamics in complex environments like polymer solutions.

More Related Videos

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

8.6K
Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
08:21

Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics

Published on: January 22, 2020

13.7K

Related Experiment Videos

Last Updated: Sep 22, 2025

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
09:39

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

1.1K
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

8.6K
Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
08:21

Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics

Published on: January 22, 2020

13.7K

Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Active Brownian motion models mesoscopic self-propelled particles in Newtonian fluids.
  • Viscoelastic media introduce time-delayed responses affecting particle dynamics.

Purpose of the Study:

  • To develop an analytic framework for active Brownian motion with memory delay.
  • To investigate the impact of time-dependent friction kernels on particle motion.
  • To quantify memory-induced delays in self-propelled particle dynamics.

Main Methods:

  • Utilizing the generalized Langevin equation.
  • Developing an analytic framework for active Brownian motion with memory delay.
  • Assuming time-dependent friction kernels for translational and orientational degrees of freedom.
  • Evaluating analytical results for a Maxwell fluid with an exponentially decaying kernel.

Main Results:

  • Derived analytical results for orientational correlation function, mean displacement, and mean-square displacement.
  • Identified a memory-induced delay between self-propulsion force and particle orientation.
  • Quantified this delay using a special dynamical correlation function.

Conclusions:

  • The presented framework accurately models active Brownian motion in viscoelastic media.
  • The findings are applicable to active colloidal particles in environments like polymer solutions.
  • Predictions can be experimentally verified, advancing the understanding of active matter in complex fluids.