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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique
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Complete scaling for inhomogeneous fluids.

C E Bertrand1, M A Anisimov

  • 1Department of Physics, University of Maryland, College Park, Maryland 20742, USA.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Complete scaling theory was extended to inhomogeneous fluids, revealing how correlation length asymmetry impacts interfacial density profiles and Tolman

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Area of Science:

  • Statistical mechanics
  • Thermodynamics
  • Fluid dynamics

Background:

  • Complete scaling theory provides a framework to map asymmetric fluid criticality onto the symmetric Ising model.
  • Understanding interfacial properties in inhomogeneous fluids is crucial for various physical phenomena.

Purpose of the Study:

  • To extend complete scaling theory to spatially inhomogeneous fluids.
  • To derive a fluctuation-modified asymmetric interfacial density profile.
  • To calculate Tolman's length and analyze its dependence on correlation length asymmetry.

Main Methods:

  • Extension of complete scaling theory to inhomogeneous systems.
  • Derivation of the asymmetric interfacial density profile.
  • Calculation of Tolman's length using the derived profile.

Main Results:

  • A fluctuation-modified asymmetric interfacial density profile was obtained for inhomogeneous fluids.
  • The derived profile incorporates effects from fluid phase coexistence and correlation length asymmetry.
  • The amplitude of the divergent Tolman length was found to be dependent on the asymmetry of the correlation length.

Conclusions:

  • The extension of complete scaling theory successfully describes interfacial properties in inhomogeneous fluids.
  • Correlation length asymmetry plays a significant role in determining the amplitude of Tolman's length.
  • This work provides a theoretical basis for understanding critical phenomena at fluid interfaces.