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Related Concept Videos

Solution Concentration and Dilution02:59

Solution Concentration and Dilution

The relative amount of a given solution component is known as its concentration. Often, though not always, a solution contains one component with a concentration that is significantly greater than that of all other components. This component is called the solvent and may be viewed as the medium in which the other components are dispersed or dissolved. Solutions in which water is the solvent are, of course, very common on our planet. A solution in which water is the solvent is called an aqueous...
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write numerous physical laws...
Conservation of Mass in Fixed, Nondeforming Control Volume01:07

Conservation of Mass in Fixed, Nondeforming Control Volume

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Ostwald’s Dilution Law01:25

Ostwald’s Dilution Law

Consider a binary electrolyte AB with a concentration ‘c’ that reversibly dissociates into its constituent ions. The degree of this dissociation is represented by ⍺. This means that the equilibrium concentration of each ionic species can be expressed as ⍺c. As well as this, the fraction of the electrolyte that remains undissociated at equilibrium is given by (1−⍺). The corresponding equilibrium concentration for this undissociated portion is then calculated as (1−⍺)c. For such solutions,...
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

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Related Experiment Video

Updated: May 17, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Reinterpreting diffusive constraints: Concentration cloaking via homogenization and pseudoconformal mapping.

Yuqian Zhao1, Yuhong Zhou1, Peng Jin1,2

  • 1Fudan University, Department of Physics, State Key Laboratory of Surface Physics, and Key Laboratory of Micro and Nano Photonic Structures (Ministry of Education), Shanghai 200438, China.

Physical Review. E
|May 16, 2026
PubMed
Summary
This summary is machine-generated.

Researchers developed a new method for controlling mass diffusion, inspired by optical cloaking. This technique uses fluid dynamics to create an isotropic concentration cloak, effective even in high-diffusivity environments.

Related Experiment Videos

Last Updated: May 17, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Area of Science:

  • Physics
  • Chemical Engineering
  • Biotechnology

Background:

  • Mass diffusion control is vital for biotechnology and chemical engineering.
  • Existing methods face challenges like high diffusivity, anisotropy, and complexity.

Purpose of the Study:

  • To present a unified theoretical framework for isotropic mass diffusion control.
  • To bridge concepts from transformation optics and convective transport.
  • To design a concentration cloak applicable in high-diffusivity environments.

Main Methods:

  • Applied homogenization theory to convection-enhanced diffusion.
  • Used a rotating fluid core to emulate a near-zero-index medium.
  • Combined this with pseudoconformal mapping to design the cloak.

Main Results:

  • Demonstrated an isotropic concentration cloak with robust performance for arbitrary shapes.
  • Showcased the cloak's ability to track background concentration changes in real time.
  • Proposed a feasible experimental setup using perforated structures.

Conclusions:

  • The work offers a diffusion-based reinterpretation of near-zero-index concepts.
  • It synthesizes fluid mechanics and pseudoconformal mapping for diffusion control.
  • Provides a unified and accessible framework for engineering diffusive fields.