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Related Concept Videos

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...
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Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their original...
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It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
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Mixing is a fascinating phenomenon in thermodynamics, particularly when considering the Gibbs energy of a mixture at constant temperature and pressure. This energy, denoted as G, tends to decrease during spontaneous mixing processes, offering insights into the composition changes that occur.Imagine two ideal gases, initially separated in different containers, with amounts nA and nB, respectively, both at a temperature T and pressure p. The chemical potentials of these gases have their 'pure'...
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Updated: Jul 11, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

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Published on: May 1, 2018

Crossover from superdiffusive to diffusive mixing in plastically deformed solids.

P Bellon1, R S Averback, S Odunuga

  • 1Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Illinois 61801, USA.

Physical Review Letters
|October 13, 2007
PubMed
Summary
This summary is machine-generated.

We found that how particles mix in strained solids changes from superdiffusive to diffusive as separation distance increases. This provides insight into plastic deformation mechanisms and precipitate dissolution.

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Last Updated: Jul 11, 2026

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Computational Materials Science

Background:

  • Plastic deformation in solids involves complex shearing events.
  • Understanding mixing dynamics is crucial for predicting material behavior.
  • Richardson's pairs are a model system for studying mixing in turbulent and complex media.

Purpose of the Study:

  • To derive expressions for the effective diffusion coefficient of Richardson's pairs in plastically strained solids.
  • To investigate the crossover from superdiffusive to diffusive mixing.
  • To provide new insights into deformation mechanisms in nanocrystalline and amorphous systems.

Main Methods:

  • Derivation of analytical expressions for the effective diffusion coefficient.
  • Utilizing molecular dynamics simulations.
  • Analyzing systems including nanocrystalline and amorphous solids.

Main Results:

  • Expressions for effective diffusion coefficient as a function of pair separation distance (R).
  • Prediction of a crossover from superdiffusive to diffusive mixing at a specific R.
  • Simulation results supporting the analytical predictions.

Conclusions:

  • The crossover in mixing behavior is linked to the coherence length of shearing events.
  • This analysis offers new insights into plastic deformation mechanisms.
  • Superdiffusive mixing can be observed experimentally via precipitate dissolution rates.