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Related Concept Videos

Diffusion01:12

Diffusion

176.6K
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...
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Damped Oscillations01:07

Damped Oscillations

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In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
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Types of Damping01:20

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If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
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Diffusion01:21

Diffusion

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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...
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Diffusion on Chromatography Columns01:07

Diffusion on Chromatography Columns

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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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Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

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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...
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Related Experiment Video

Updated: May 4, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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Overdamped diffusion through a channel of varying cross-section.

Michał Cieśla1, Bartłomiej Dybiec1, Monika Krasowska2

  • 1Jagiellonian University, Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Kraków, Poland.

Physical Review. E
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Summary

Particle transport in pores depends on pore geometry. Widening pores show superdiffusion, while narrowing pores exhibit subdiffusion, impacting mass transport analysis.

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Area of Science:

  • Materials Science
  • Environmental Science
  • Biological Science

Background:

  • Characterizing nanoparticle transport in pores is crucial for multiple scientific disciplines.
  • Understanding how pore geometry affects mass transport is a key challenge.

Purpose of the Study:

  • To analyze nanoparticle diffusion in pores with varying cross-sections.
  • To investigate the influence of specific double-cone pore geometries on particle transport properties.

Main Methods:

  • Simulated diffusion of spherical particles in two distinct double-cone pore configurations.
  • Analysis of mean squared displacement and mean first passage time.
  • Analytical evaluation of the Fick-Jacobs equation approximation.

Main Results:

  • Pore geometry dictates diffusion behavior: widening pores lead to superdiffusion, narrowing pores to subdiffusion.
  • Reversing channel slope does not alter particle exit time.
  • The Fick-Jacobs equation underestimates mean first passage times, with accuracy decreasing in higher dimensions.

Conclusions:

  • Geometric variations significantly influence nanoparticle mass transport.
  • The Fick-Jacobs approximation has limitations, particularly in complex geometries and higher dimensions.
  • This study provides insights into nanoparticle behavior in engineered and natural porous media.