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

Interference and Diffraction02:18

Interference and Diffraction

50.5K
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.
50.5K
Diffusion01:12

Diffusion

213.0K
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...
213.0K
Diffusion01:21

Diffusion

5.8K
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...
5.8K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

769
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
769
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

30.5K
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...
30.5K
The de Broglie Wavelength02:32

The de Broglie Wavelength

31.9K
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...
31.9K

You might also read

Related Articles

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

Sort by
Same author

Quasi-periodic flat-band model constructed by molecular-orbital representation.

Scientific reports·2026
Same author

Topological Domain-Wall Pump with Z_{2} Spontaneous Symmetry Breaking.

Physical review letters·2025
Same author

Non-Hermitian Topology in Hermitian Topological Matter.

Physical review letters·2025
Same author

A symmetry-protected exceptional ring in a photonic crystal with negative index media.

Nanophotonics (Berlin, Germany)·2024
Same author

Non-Hermitian Mott Skin Effect.

Physical review letters·2024
Same author

Bulk-Edge Correspondence for Nonlinear Eigenvalue Problems.

Physical review letters·2024

Related Experiment Video

Updated: Nov 21, 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

8.2K

Bulk-edge correspondence of classical diffusion phenomena.

Tsuneya Yoshida1, Yasuhiro Hatsugai2

  • 1Department of Physics, University of Tsukuba, Ibaraki, 305-8571, Japan. yoshida@rhodia.ph.tsukuba.ac.jp.

Scientific Reports
|January 14, 2021
PubMed
Summary
This summary is machine-generated.

Diffusive systems exhibit topological properties, demonstrating protected edge states in one- and two-dimensional systems. This discovery opens new avenues for exploring topological phenomena in natural 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

8.9K
From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope
15:10

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

Published on: October 9, 2014

11.7K

Related Experiment Videos

Last Updated: Nov 21, 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

8.2K
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

8.9K
From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope
15:10

From Fast Fluorescence Imaging to Molecular Diffusion Law on Live Cell Membranes in a Commercial Microscope

Published on: October 9, 2014

11.7K

Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Topological Matter

Background:

  • Topological phenomena, such as bulk-edge correspondence, are typically studied in quantum systems.
  • Diffusive systems, prevalent in nature, have not been extensively explored as platforms for topological phenomena.

Purpose of the Study:

  • To investigate diffusive systems as a novel platform for bulk-edge correspondence.
  • To demonstrate the emergence and properties of topological edge states in diffusive systems.
  • To uncover new diffusion phenomena arising from topological effects.

Main Methods:

  • Discretization of the diffusion equation for one- and two-dimensional systems.
  • Numerical simulation of temperature distribution in a honeycomb lattice.
  • Analysis of edge state protection using winding numbers.

Main Results:

  • Emergence of robust topological edge states protected by the winding number in diffusive systems.
  • Experimental accessibility of these edge states through measurements of diffusive dynamics at system edges.
  • Observation of a novel diffusion phenomenon: complete localization of a specific wavenumber temperature field in a honeycomb lattice, attributed to edge state localization.

Conclusions:

  • Diffusive systems serve as a viable and natural platform for realizing bulk-edge correspondence.
  • Topological edge states in diffusive systems are robust and experimentally verifiable.
  • The study reveals a new class of diffusion phenomena driven by topological localization effects.