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

Carrier Transport01:21

Carrier Transport

1.1K
The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
1.1K
IR Absorption Frequency: Delocalization01:04

IR Absorption Frequency: Delocalization

1.7K
Electron delocalization refers to the distribution of electrons across multiple atoms within a molecule rather than being confined to a single atom or bond. This phenomenon is common in systems with conjugated bonds—structures where alternating single and double bonds allow π-electrons to move freely across the network. The movement of electrons stabilizes the molecule and can affect various chemical properties, including vibrational frequencies observed in IR spectroscopy.
In IR...
1.7K
Gradient and Del Operator01:14

Gradient and Del Operator

4.9K
In mathematics and physics, the gradient and del operator are fundamental concepts used to describe the behavior of functions and fields in space. The gradient is a mathematical operator that gives both the magnitude and direction of the maximum spatial rate of change. Consider a person standing on a mountain. The slope of the mountain at any given point is not defined unless it is quantified in a particular direction. For this reason, a "directional derivative" is defined, which is a vector...
4.9K
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

2.1K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
2.1K
Diffusion01:21

Diffusion

7.2K
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...
7.2K
Diffusion01:12

Diffusion

229.3K
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...
229.3K

You might also read

Related Articles

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

Sort by
Same author

[Evaluation of palatal bone thickness in adults with normal occlusion for orthodontic miniscrews placement].

Zhonghua kou qiang yi xue za zhi = Zhonghua kouqiang yixue zazhi = Chinese journal of stomatology·2011
Same author

5-Methyl-1-(3-nitro-benz-yl)-1H-1,2,3-triazole-4-carboxylic acid monohydrate.

Acta crystallographica. Section E, Structure reports online·2011
Same author

1-Benzyl-5-methyl-1H-1,2,3-triazole-4-carboxylic acid monohydrate.

Acta crystallographica. Section E, Structure reports online·2011
Same author

1-[(3-Methyl-piperidin-1-yl)(phen-yl)meth-yl]-2-naphthol.

Acta crystallographica. Section E, Structure reports online·2011
Same author

Determination of fumaric and maleic acids with stacking analytes by transient moving chemical reaction boundary method in capillary electrophoresis.

Journal of chromatography. A·2011
Same author

On-road pollutant emission and fuel consumption characteristics of buses in Beijing.

Journal of environmental sciences (China)·2011
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Mar 22, 2026

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

Non-Gaussian normal diffusion induced by delocalization.

Jianjin Wang1, Yong Zhang1, Hong Zhao1,2

  • 1Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, Fujian, China.

Physical Review. E
|April 15, 2016
PubMed
Summary
This summary is machine-generated.

Non-Gaussian diffusion, characterized by a non-Gaussian probability density function (PDF) and linear mean squared displacement (MSD), was observed in energy diffusion along a disordered lattice. This phenomenon arises from the delocalization of energy modes when nonlinear interactions are present.

More Related Videos

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
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

9.1K

Related Experiment Videos

Last Updated: Mar 22, 2026

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
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
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

9.1K

Area of Science:

  • Condensed matter physics
  • Statistical mechanics

Background:

  • Non-Gaussian diffusion, where the probability density function (PDF) deviates from a Gaussian distribution but the mean squared displacement (MSD) remains linear with time, is a known phenomenon in particle motion.
  • Understanding energy transport in disordered systems is crucial for various fields, including materials science and quantum computing.

Purpose of the Study:

  • To investigate the manifestation of non-Gaussian diffusion in energy transport along a one-dimensional disordered lattice at finite temperatures.
  • To explore the role of nonlinear interactions in the spatial and temporal spreading of energy density fluctuations.

Main Methods:

  • Numerical simulations of a one-dimensional disordered lattice model with on-site potentials.
  • Analysis of energy density fluctuations, probability density functions (PDFs), and mean squared displacements (MSDs).

Main Results:

  • Energy density fluctuations were found to be spatially localized when nonlinear interactions were suppressed.
  • Upon enabling nonlinear interactions, energy fluctuations spread, exhibiting a non-Gaussian PDF and a linear time-dependent MSD.
  • The observed non-Gaussian diffusion is attributed to the delocalization properties of the initially localized energy modes.

Conclusions:

  • Nonlinear interactions can induce non-Gaussian energy diffusion in disordered lattices.
  • The delocalization of modes provides a mechanism for the spreading of energy fluctuations and the emergence of non-Gaussian behavior.
  • This study offers insights into anomalous transport phenomena in complex physical systems.