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

Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

4.9K
Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
4.9K
Stress Concentrations01:24

Stress Concentrations

424
Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller...
424
Stress Concentrations01:13

Stress Concentrations

375
The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress...
375
Normal Stress01:19

Normal Stress

796
Normal stress is a type of stress that occurs when forces act perpendicular, or normal, to a material's cross-sectional area. This stress often arises in structures when subjected to axial loading, which is the application of force along the axis of an object. A practical example of this can be found in bridge truss members.
When a rod is under axial loading, the internal forces and corresponding stress are normal to the plane of the section, so it is termed normal stress. It's...
796
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

237
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...
237
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

412
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
412

You might also read

Related Articles

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

Sort by
Same author

When and how to disclose AI use in academic publishing: AMEE Guide No.192.

Medical teacher·2025
Same author

Implementing recommendations to optimise professional support in the medical workplace: A participatory approach.

Medical education·2025
Same author

Data science in health professions education: promises and challenges.

Advances in health sciences education : theory and practice·2025
Same author

On the origin of optical rotation changes during the κ-carrageenan disorder-to-order transition.

Carbohydrate polymers·2024
Same author

Robust, defensible, and fair: The AMEE guide to selection into medical school: AMEE Guide No. 153.

Medical teacher·2023
Same author

Molecular dynamics simulations and X-ray scattering show the κ-carrageenan disorder-to-order transition to be the formation of double-helices.

Carbohydrate polymers·2023

Related Experiment Video

Updated: Oct 23, 2025

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction
10:36

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction

Published on: May 20, 2018

9.8K

Anomalous diffusion driven by the redistribution of internal stresses.

J Cleland1,2, M A K Williams1,2,3

  • 1School of Fundamental Sciences, Massey University, Palmerston North 4442, New Zealand.

Physical Review. E
|August 20, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a mathematical model for anomalous diffusion driven by internal stresses, not thermal noise. The model uses a continuous time random walk framework, showing a shift from subdiffusive to diffusive behavior and eventual Gaussianity in soft-matter systems.

More Related Videos

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

8.8K
Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method
07:37

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method

Published on: January 16, 2019

9.9K

Related Experiment Videos

Last Updated: Oct 23, 2025

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction
10:36

Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction

Published on: May 20, 2018

9.8K
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

8.8K
Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method
07:37

Full-field Strain Measurements for Microstructurally Small Fatigue Crack Propagation Using Digital Image Correlation Method

Published on: January 16, 2019

9.9K

Area of Science:

  • Mathematical Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Anomalous diffusion is often attributed to thermal fluctuations.
  • Internal stresses in soft-matter systems can also drive complex dynamics.
  • A unified mathematical framework for stress-driven diffusion is lacking.

Purpose of the Study:

  • To develop a mathematical description of anomalous diffusion driven by internal stresses.
  • To model the dynamics of internal stresses using a continuous time random walk (CTRW) framework.
  • To analyze the resulting diffusion equation and its solutions.

Main Methods:

  • Utilized a continuous time random walk (CTRW) framework.
  • Described waiting times between displacements using the generalized Gamma distribution.
  • Identified and solved the associated generalized diffusion equation.
  • Employed Fox H functions for analytical solutions.

Main Results:

  • The probability density function transitions from non-Gaussian to Gaussian at longer timescales.
  • The second moment of the diffusion exhibits transient behavior, shifting between subdiffusive and diffusive characteristics.
  • A generalized diffusion equation was derived and solved analytically.

Conclusions:

  • The developed mathematical framework accurately describes anomalous diffusion driven by internal stresses.
  • The model predicts a transition from non-Gaussian to Gaussian behavior and from subdiffusive to diffusive dynamics.
  • This approach offers potential applications for understanding phenomena like quaking in soft-matter systems.