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Related Concept Videos

Diffusion01:21

Diffusion

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...
Diffusion01:12

Diffusion

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...
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

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...
Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

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...
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting their diffusion into...

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Related Experiment Video

Updated: Jun 20, 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

Fluctuation theory of single-file diffusion.

B U Felderhof1

  • 1Institut für Theoretische Physik A, RWTH Aachen, Templergraben 55, 52056 Aachen, Germany. ufelder@physik.rwth-aachen.de

The Journal of Chemical Physics
|August 21, 2009
PubMed
Summary

In single-file systems, particle displacement grows with the square root of time, not linearly. This study derives single-file mobility using fluctuation theory and relates it to collective diffusion and compressibility.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Soft Matter

Background:

  • Brownian motion describes random particle movement.
  • In one-dimensional systems, particles cannot pass each other, altering diffusion dynamics.
  • Previous models, like the generalized Smoluchowski equation, have explored these systems.

Purpose of the Study:

  • To investigate the anomalous diffusion of Brownian particles in a one-dimensional single-file system.
  • To derive the single-file mobility coefficient using fluctuation theory.
  • To connect single-file mobility to fundamental physical quantities.

Main Methods:

  • Analysis of mean square displacement in a one-dimensional Brownian particle suspension.
  • Application of fluctuation theory, including velocity time scale and fluctuation-dissipation theorem.

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  • Expressing single-file mobility in terms of collective diffusion and isothermal osmotic compressibility.
  • Main Results:

    • Mean square displacement exhibits a square root of time dependence at long times, deviating from linear behavior.
    • The single-file mobility coefficient was successfully derived from fluctuation theory.
    • The derived single-file mobility is consistent with previous findings based on the generalized Smoluchowski equation.

    Conclusions:

    • Single-file dynamics lead to sub-diffusive behavior (square root of time dependence).
    • Fluctuation theory provides a robust framework for understanding single-file mobility.
    • The study confirms the relationship between single-file mobility, collective diffusion, and compressibility.