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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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Microscopic theory for anisotropic pair correlations in driven binary mixtures.

Matthias Kohl1, Alexei V Ivlev, Philip Brandt

  • 1Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany. mkohl@thphy.uni-duesseldorf.de

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|November 2, 2012
PubMed
Summary
This summary is machine-generated.

This study presents a new theory for non-equilibrium pair correlations in driven binary mixtures. The approach reveals anisotropic correlations and laning behavior, aligning well with simulations.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • Understanding non-equilibrium systems is crucial in various scientific fields.
  • Strongly interacting driven binary mixtures exhibit complex behaviors.
  • Microscopic approaches are needed to explain emergent phenomena.

Purpose of the Study:

  • To develop a self-consistent microscopic theory for non-equilibrium pair correlations.
  • To investigate the behavior of strongly interacting driven binary mixtures.
  • To provide a theoretical framework for phenomena like anisotropy and laning.

Main Methods:

  • Derivation from the many-body Smoluchowski equation for interacting Brownian particles.
  • Application of Kirkwood's superposition approximation as a closure relation.
  • Comparison with Brownian dynamics computer simulations for validation.

Main Results:

  • The theory predicts notable anisotropy in pair correlations.
  • A strong tendency for laning in the driving direction was observed.
  • Evidence of long-range decay in pair correlations along the drive was found.

Conclusions:

  • The developed microscopic approach accurately describes non-equilibrium pair correlations.
  • Theoretical predictions show good quantitative agreement with simulation results.
  • The findings offer insights into the collective behavior of driven complex fluids.