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

Diffusion on Chromatography Columns01:07

Diffusion on Chromatography Columns

1.6K
In column chromatography, when an analyte is introduced as a narrow band at the top of the column, the solutes begin to separate and broaden, developing a Gaussian profile. This broadening occurs due to various factors, such as longitudinal diffusion.
Longitudinal diffusion occurs when the solute molecules in the mobile phase diffuse from the more concentrated center of the chromatographic band to the more dilute regions on either side, both towards and against the flow direction. This...
1.6K
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

24.5K
Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
24.5K
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

937
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
937
Diffusion01:12

Diffusion

176.6K
Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
176.6K
Diffusion01:21

Diffusion

5.7K
Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
5.7K
Mean free path and Mean free time01:22

Mean free path and Mean free time

4.4K
Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
4.4K

You might also read

Related Articles

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

Sort by
Same author

Corrigendum: Temperature dependence of the transition packing fraction of thermal jamming in a harmonic soft sphere system (2019<i>J. Phys.: Condens. Matter</i><b>31</b>165101).

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same author

Colloidal transport in periodic potentials: the role of modulated-crowding.

Soft matter·2025
Same author

Local area distribution of quasi-2D colloidal dispersions and its relation to particle diffusion: a Voronoi tessellation approach.

Soft matter·2025
Same author

Precisely controlled colloids: a playground for path-wise non-equilibrium physics.

Soft matter·2025
Same author

One- and two-particle microrheology of soft materials based on optical-flow image analysis.

Soft matter·2025
Same author

Structural analysis of physical gel networks using graph neural networks.

The European physical journal. E, Soft matter·2025

Related Experiment Video

Updated: May 3, 2026

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

8.2K

Brownian particles on rough substrates: relation between intermediate subdiffusion and asymptotic long-time

Richard D L Hanes1, Michael Schmiedeberg2, Stefan U Egelhaaf1

  • 1Condensed Matter Physics Laboratory, Heinrich Heine University, D-40225 Düsseldorf, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
PubMed
Summary

Brownian particles in random potentials exhibit subdiffusion. Analyzing intermediate-time dynamics allows prediction of long-time diffusion coefficients and crossover times to thermal equilibrium.

More Related Videos

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

16.6K
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

9.8K

Related Experiment Videos

Last Updated: May 3, 2026

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

8.2K
Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

16.6K
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

9.8K

Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Brownian particles in random potentials exhibit complex dynamics.
  • Subdiffusion is observed at intermediate times, while diffusive behavior emerges at very long times.
  • Asymptotic diffusive behavior is often experimentally or computationally inaccessible.

Purpose of the Study:

  • To analyze experimental and simulation data for one-dimensional random potentials with Gaussian energies.
  • To establish a relationship between intermediate-time dynamics and long-time diffusion.
  • To enable prediction of long-time diffusion coefficients and crossover times from intermediate-time data.

Main Methods:

  • Detailed analysis of experimental and simulation data.
  • Focus on one-dimensional random potentials with Gaussian distributed energies.
  • Characterization of subdiffusion exponent at intermediate times.

Main Results:

  • The long-time diffusion coefficient correlates with the minimum subdiffusion exponent at intermediate times.
  • Intermediate-time dynamics are sufficient to predict the magnitude of the long-time diffusion coefficient.
  • The crossover time to diffusive behavior can be determined from intermediate-time analysis.

Conclusions:

  • Investigating intermediate-time dynamics provides a method to predict long-time diffusion in random potentials.
  • This approach allows estimation of the time scale for establishing thermal equilibrium.
  • Theoretical predictions for long-time behavior can quantitatively describe previously understudied intermediate-time dynamics.