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

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

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

31.8K
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...
31.8K
Distribution and Dispersion00:54

Distribution and Dispersion

25.8K
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
25.8K
Diffusion01:12

Diffusion

226.7K
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...
226.7K
Diffusion01:21

Diffusion

7.0K
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...
7.0K
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

6.0K
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...
6.0K
Van der Waals Interactions01:24

Van der Waals Interactions

72.7K
Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
72.7K

You might also read

Related Articles

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

Sort by
Same author

Ergodic properties of Brownian motion under stochastic resetting.

Physical review. E·2024
Same author

Restart Expedites Quantum Walk Hitting Times.

Physical review letters·2023
Same author

Measurement-induced quantum walks.

Physical review. E·2022
Same author

Machine learning approach to the Floquet-Lindbladian problem.

Chaos (Woodbury, N.Y.)·2022
Same author

Asymptotic densities of planar Lévy walks: A nonisotropic case.

Physical review. E·2022
Same author

Random generators of Markovian evolution: A quantum-classical transition by superdecoherence.

Physical review. E·2021

Related Experiment Video

Updated: Mar 8, 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

8.5K

Superdiffusive Dispersals Impart the Geometry of Underlying Random Walks.

V Zaburdaev1,2, I Fouxon3, S Denisov4,5,6

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.

Physical Review Letters
|January 14, 2017
PubMed
Summary

Superdiffusive Lévy walks, faster than normal diffusion, reveal their path geometry. Microscopic walk details can be inferred from walker trajectories using a Pearson coefficient analogue.

More Related Videos

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
10:07

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Published on: January 31, 2020

6.7K
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

9.1K

Related Experiment Videos

Last Updated: Mar 8, 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

8.5K
Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
10:07

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

Published on: January 31, 2020

6.7K
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

9.1K

Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Many natural phenomena, including cold atom diffusion and human movement, show superdiffusive dispersal, exceeding normal diffusion rates.
  • Lévy walks effectively model one-dimensional superdiffusive behavior.

Purpose of the Study:

  • To investigate the imprint of microscopic geometry on planar superdiffusive Lévy walks.
  • To demonstrate that walk geometry can be inferred from walker trajectories.

Main Methods:

  • Analysis of planar superdiffusive Lévy walks.
  • Comparison with standard random walks.
  • Calculation of a Pearson coefficient analogue from walker trajectories.

Main Results:

  • The microscopic geometry of planar superdiffusive Lévy walks is encoded in the asymptotic distribution of walkers.
  • Unlike standard random walks, Lévy walks retain geometric information.

Conclusions:

  • The geometry of superdiffusive Lévy walks in two dimensions can be inferred from observed trajectories.
  • This finding offers a new method for analyzing complex movement patterns.