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

465
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...
465
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

4.3K
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...
4.3K
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

28.6K
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...
28.6K
Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

3.9K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
3.9K
Mean free path and Mean free time01:22

Mean free path and Mean free time

3.4K
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."
3.4K
Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

2.2K
Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...
2.2K

You might also read

Related Articles

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

Sort by
Same author

Feynman-Kac equation for microtubule search process in prometaphase.

Chaos (Woodbury, N.Y.)·2026
Same author

Diffusing diffusivity model of a polymer moving on a spherical surface.

Chaos (Woodbury, N.Y.)·2025
Same author

Identifying molecular functional groups of organic compounds by deep learning of NMR data.

Magnetic resonance in chemistry : MRC·2022
Same author

Lévy Walk Dynamics in an External Constant Force Field in Non-Static Media.

Journal of statistical physics·2022

Related Experiment Video

Updated: Jun 5, 2025

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

7.8K

Brownian non-Gaussian polymer diffusion in non-static media.

Xiao Zhang1, Heng Wang1, Weihua Deng1

  • 1School of Mathematics and Statistics, State Key Laboratory of Natural Product Chemistry, Lanzhou University, Lanzhou 730000, China.

Chaos (Woodbury, N.Y.)
|December 13, 2024
PubMed
Summary
This summary is machine-generated.

This study models polymer diffusion in dynamic media, revealing how size fluctuations impact movement. We analyzed polymer center of mass behavior using a novel diffusing diffusivity model.

More Related Videos

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

10.2K
In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

6.4K

Related Experiment Videos

Last Updated: Jun 5, 2025

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

7.8K
Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
11:34

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

10.2K
In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

6.4K

Area of Science:

  • Physics
  • Polymer Science
  • Statistical Mechanics

Background:

  • Particles in nature often move irregularly in dynamic, non-static media.
  • Advanced observation techniques reveal complex phenomena like Brownian non-Gaussian diffusion.
  • Understanding polymer dynamics in such environments is crucial for various scientific fields.

Purpose of the Study:

  • To investigate the dynamical behavior of a polymer's center of mass (CM) in non-static media.
  • To analyze the specific effect of polymer size fluctuations on diffusion characteristics.
  • To develop and validate a theoretical model for polymer diffusion under these conditions.

Main Methods:

  • Establishment of a diffusing diffusivity model for polymer size fluctuations, incorporating a birth and death process.
  • Introduction of co-moving and physical coordinate systems to describe the CM position.
  • Application of the subordinate process approach to derive statistical quantities like mean square displacement (MSD) and kurtosis.
  • Derivation and solution of bivariate Fokker-Planck and Feynman-Kac equations using deep backward stochastic differential equations (BSDEs).

Main Results:

  • The study provides a detailed analysis of the diffusing diffusivity model for polymer size fluctuations in non-static media.
  • Key statistical quantities, including MSD and kurtosis, were obtained for the polymer's CM.
  • The long-time asymptotic behavior of MSD was analyzed for different types of media.
  • The derived Fokker-Planck and Feynman-Kac equations were solved, confirming the model's validity.

Conclusions:

  • Polymer size fluctuations significantly influence diffusion behavior in non-static media.
  • The developed diffusing diffusivity model accurately describes these dynamics.
  • The application of deep BSDEs provides a robust method for solving complex diffusion equations.