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

The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

57.6K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
57.6K
Fermi Level Dynamics01:12

Fermi Level Dynamics

487
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
487
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

1.6K
The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.
1.6K
Hückel's Rule Diagram of π MOs: Frost Circle01:08

Hückel's Rule Diagram of π MOs: Frost Circle

5.3K
The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so that...
5.3K
Conservation of Mass in Moving, Nondeforming Control Volume01:14

Conservation of Mass in Moving, Nondeforming Control Volume

1.2K
Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
In the context of a detention basin, the conservation of mass states that the total mass of water entering the basin must equal the mass leaving the basin plus any accumulation of...
1.2K
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

30.6K
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...
30.6K

You might also read

Related Articles

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

Sort by
Same author

Structure-function multilayer network integration and cognition in multiple sclerosis.

Network neuroscience (Cambridge, Mass.)·2026
Same author

Intermediate time scale in the first product formation time distribution of Michaelis-Menten kinetics with inhibitors.

Physical review. E·2026
Same author

From pairwise to higher-order brain community detection: A hypergraph signal processing approach on brain functional connectivity analysis.

Computers in biology and medicine·2025
Same author

Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems.

Bulletin of mathematical biology·2025
Same author

Utility of local capillary supply indices: Insights from computational image-based modelling.

The Journal of physiology·2025
Same author

Neighbourhood topology unveils pathological hubs in the brain networks of epilepsy-surgery patients.

Brain communications·2025
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: Nov 25, 2025

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

11.3K

Fock-space methods for diffusion: Capturing volume exclusion via fermionic statistics.

Gerson C Duarte-Filho1, Fernando A N Santos2, Eamonn A Gaffney3

  • 1Departamento de Física, Universidade Federal de Sergipe, 49100-000 São Cristóvão, Sergipe, Brazil.

Physical Review. E
|December 17, 2020
PubMed
Summary
This summary is machine-generated.

Volume exclusion significantly alters particle transport dynamics at small scales, differing fundamentally from standard Brownian motion. This study uses quantum methods to analyze these effects without complex simulations.

More Related Videos

Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells
05:56

Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells

Published on: November 12, 2020

3.1K
Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.7K

Related Experiment Videos

Last Updated: Nov 25, 2025

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

11.3K
Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells
05:56

Spot Variation Fluorescence Correlation Spectroscopy for Analysis of Molecular Diffusion at the Plasma Membrane of Living Cells

Published on: November 12, 2020

3.1K
Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.7K

Area of Science:

  • Statistical Mechanics
  • Quantum Mechanics
  • Condensed Matter Physics

Background:

  • Volume exclusion and single-file diffusion are crucial at nanoscale, impacting molecular machines, ion channels, and zeolites.
  • These phenomena introduce deviations from standard Brownian motion, altering the mean squared displacement-time relationship.
  • Understanding these effects is key for designing nanoscale devices and materials.

Purpose of the Study:

  • To develop a novel analytical method for studying volume-excluded transport in small stochastic systems.
  • To investigate the impact of volume exclusion on particle dynamics and exit time distributions.
  • To contrast fermionic (excluded) diffusion with bosonic (non-excluded) diffusion.

Main Methods:

  • Mapping the chemical master equation for excluded diffusion to a Schrödinger equation.
  • Utilizing annihilation and creation ladder operators with fermionic statistics.
  • Employing linear and symbolic algebra within a Fock-space representation.
  • Analyzing transport bias and exit time distributions.

Main Results:

  • Successfully represented volume-excluded diffusion using quantum formalism (fermionic statistics).
  • Demonstrated differences in dynamics between excluded (fermionic) and non-excluded (bosonic) diffusion across various particle densities.
  • Quantified changes in exit time distributions due to volume exclusion and transport bias.

Conclusions:

  • Volume-excluded transport in small systems can be analyzed efficiently using quantum-inspired methods.
  • This approach bypasses the need for computationally intensive stochastic simulations and ensemble averaging.
  • The framework provides a powerful tool for understanding nanoscale transport phenomena.