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The Thermodynamics of Mixing01:28

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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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From a molecular perspective, an ideal solution is one in which the intermolecular interactions between unlike molecules are, on average, the same as those between like molecules. This is the case for ideal gas mixtures, where the molecules are far apart and do not interact with each other. However, for condensed phases like liquids or solids, the molecules are close together and interact with each other. In an ideal solution, the molecules of different species are so similar to each other that...
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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
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Binary Mixtures of Particles with Different Diffusivities Demix.

Simon N Weber1, Christoph A Weber2, Erwin Frey1

  • 1Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, 80333 Munich, Germany.

Physical Review Letters
|February 20, 2016
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Summary
This summary is machine-generated.

Differences in diffusivity drive phase separation in binary mixtures. Less diffusive particles form clusters due to being caged by more mobile ones, leading to system-wide separation above a critical size.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Materials Science

Background:

  • Phase separation in binary mixtures is influenced by particle size, shape, mass, and motion.
  • Previous studies have extensively explored these factors.

Purpose of the Study:

  • To investigate the exclusive role of diffusivity differences in phase separation.
  • To examine binary mixtures composed of equal-sized particles with varying diffusion constants.

Main Methods:

  • Theoretical analysis focusing on diffusivity differences.
  • Simulation or modeling of binary mixtures with distinct diffusion rates.

Main Results:

  • An effective attraction arises between less diffusive particles.
  • These particles become caged by the more mobile surrounding species.
  • Phase separation occurs in systems exceeding a critical size, forming a cluster of less diffusive particles.

Conclusions:

  • Diffusivity differences alone can induce phase separation in binary mixtures.
  • The observed phenomenon is driven by kinetic trapping and effective attraction.
  • Experimental validation of these predictions is proposed.