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

Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
Diffusion01:12

Diffusion

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...
Diffusion01:21

Diffusion

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...
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

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...
Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

You might also read

Related Articles

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

Sort by
Same author

Reduction of light shifts in Ramsey spectroscopy with a combined error signal.

Applied physics letters·2024
Same author

Long-Lived Coherence on a μHz Scale Optical Magnetic Quadrupole Transition.

Physical review letters·2024
Same author

Ramsey Spectroscopy with Displaced Frequency Jumps.

Physical review letters·2019
Same author

High-Throughput Quantitative Measurement of Bacterial Attachment Kinetics on Seconds Time Scale.

Microbial ecology·2018
Same author

Measurement of the charge asymmetry in top quark pair production in <i>pp</i> collisions at [Formula: see text] using the ATLAS detector.

The European physical journal. C, Particles and fields·2015
Same author

Search for lepton flavour violation in the <i>eμ</i> continuum with the ATLAS detector in [Formula: see text]<i>pp</i> collisions at the LHC.

The European physical journal. C, Particles and fields·2015

Related Experiment Video

Updated: Jun 5, 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

Self-similar modes of coherent diffusion.

O Firstenberg1, P London, D Yankelev

  • 1Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel.

Physical Review Letters
|January 15, 2011
PubMed
Summary

Researchers derived and measured self-similar solutions for coherent diffusion equations. They demonstrated self-similar evolution in diffusing atoms, observing both spreading and a unique self-similar contraction.

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

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

Related Experiment Videos

Last Updated: Jun 5, 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

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

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

Area of Science:

  • Physics
  • Quantum Optics
  • Nonlinear Dynamics

Background:

  • Coherent diffusion describes particle or wave propagation with phase coherence.
  • Self-similar solutions represent patterns that maintain their shape while scaling over time.
  • Gaussian modes are fundamental solutions in optical diffraction and wave propagation.

Purpose of the Study:

  • To derive and experimentally measure self-similar solutions of the coherent diffusion equation.
  • To generalize real similarity solutions using nonuniform phases based on Gaussian modes.
  • To demonstrate the self-similar evolution of amplitude and phase in diffusing atoms.

Main Methods:

  • Derivation of self-similar solutions for the coherent diffusion equation.
  • Generalization of solutions using nonuniform phases derived from Gaussian modes.
  • Experimental implementation in a light-storage experiment with diffusing atoms.

Main Results:

  • Demonstration of self-similar evolution for both amplitude and phase patterns.
  • Measurement of an algebraic decay dependent on the mode order.
  • Observation of a subset of solutions exhibiting self-similar contraction, contrasting with regular diffusion.

Conclusions:

  • Self-similar solutions, including complex ones with nonuniform phases, are experimentally validated for coherent diffusion.
  • The study reveals novel dynamics, including self-similar contraction, beyond standard diffusion models.
  • Findings have implications for controlling and understanding coherent wave phenomena in diffusing media.