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Related Concept Videos

Scaling01:26

Scaling

In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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...
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.
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Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
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Diffusion on Chromatography Columns01:07

Diffusion on Chromatography Columns

In column chromatography, when an analyte is introduced as a narrow band at the top of the column, the solutes begin to separate and broaden, developing a Gaussian profile. This broadening occurs due to various factors, such as longitudinal diffusion.
Longitudinal diffusion occurs when the solute molecules in the mobile phase diffuse from the more concentrated center of the chromatographic band to the more dilute regions on either side, both towards and against the flow direction. This...

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Related Experiment Video

Updated: Jun 3, 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

A universal scaling law for active diffusion in complex media.

Qun Zhang1, Yuxin Tian1, Xue Zhang1

  • 1School of Physics, Beijing Institute of Technology, Beijing, China.

Nature Communications
|June 1, 2026
PubMed
Summary
This summary is machine-generated.

Active particle transport in complex environments is explained by a new relation. This framework unifies passive and active tracer diffusion across diverse structures and activities.

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Last Updated: Jun 3, 2026

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Published on: May 1, 2018

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Understanding active particle transport in heterogeneous media is crucial for biological and synthetic microswimmers.
  • Existing models for passive systems fail to accurately predict active transport dynamics.

Purpose of the Study:

  • To investigate the long-time diffusion of active tracers in quasi-two-dimensional heterogeneous media.
  • To develop a universal predictive framework for active transport in non-equilibrium heterogeneous systems.

Main Methods:

  • Granular experiments and computer simulations were employed.
  • A modified diffusion-structure relation was formulated by incorporating the dimensionless persistence length (Q).

Main Results:

  • Diffusion-structure relations for passive systems do not apply to active transport.
  • The modified relation, including Q, successfully collapses experimental and simulation data.
  • This framework is valid across different activity levels, environmental structures, and propulsion mechanisms.

Conclusions:

  • A universal predictive framework for active transport in non-equilibrium heterogeneous systems has been established.
  • The dimensionless persistence length (Q) is key to describing activity-induced changes in transport behavior.