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Mesoscopic hydrothermodynamics of complex-structured materials.

Áurea R Vasconcellos1, A A P Silva, Roberto Luzzi

  • 1Condensed Matter Physics Department, Institute of Physics "Gleb Wataghin," University of Campinas, Unicamp. 13083-859 Campinas, SP, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
PubMed
Summary

This study introduces nonconventional mesoscopic hydrothermodynamics (MHT) to explain anomalous hydrodynamic behavior in disordered systems. The new theory uses fractional power laws and fractal structures to describe fluid dynamics in soft matter, aiding technological predictions.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Disordered systems like polymeric fluids and surfactants exhibit anomalous hydrodynamic behavior.
  • This behavior, described by fractional power laws, stems from fractal-like structures, hindering conventional statistical mechanics.
  • A detailed understanding is needed for accurate predictions in technological and industrial applications.

Purpose of the Study:

  • To develop a physical picture for anomalous hydrodynamic phenomena in complex systems.
  • To introduce a nonconventional mesoscopic hydrothermodynamics (MHT) for handling systems with fractal-like structures.
  • To derive and apply novel evolution equations for density and velocity in fluid dynamics.

Main Methods:

  • Utilized the Renyi approach within a nonconventional mesoscopic hydrothermodynamics (MHT) framework.
  • Derived coupled, nonstandard evolution equations for density and velocity.
  • Applied the theory to soft-matter systems, including electrophoretic techniques and optical traps.

Main Results:

  • Developed a nonconventional Maxwell-Cattaneo equation for density, which simplifies to a non-Fickian diffusion equation in a limiting case.
  • Modeled hydrodynamic motion in soft-matter systems under forced flow conditions.
  • Established a connection between the derived equations and Lévy processes, with experimental validation.

Conclusions:

  • The nonconventional mesoscopic hydrothermodynamics (MHT) provides a framework for understanding anomalous hydrodynamics in fractal systems.
  • The derived equations offer a means to predict fluid behavior in soft matter under various conditions.
  • The study bridges theoretical modeling with experimental observations in complex fluid dynamics.