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Related Concept Videos

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Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the concentration...
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Comparison of phase-field models for surface diffusion.

Clemens Gugenberger1, Robert Spatschek, Klaus Kassner

  • 1Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 4, 2008
PubMed
Summary
This summary is machine-generated.

Phase-field modeling of surface diffusion is complex. New models were developed and simulated, showing superior performance over existing methods in certain scenarios for surface-diffusion controlled dynamics.

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Area of Science:

  • Materials Science
  • Computational Physics
  • Chemical Engineering

Background:

  • Surface-diffusion controlled dynamics are crucial in various physical and chemical processes.
  • Accurate modeling of these dynamics using the phase-field method presents significant challenges.
  • Existing phase-field approaches may not capture the correct asymptotic behavior.

Purpose of the Study:

  • To address the complexities in phase-field modeling of surface-diffusion controlled dynamics.
  • To develop novel phase-field models that accurately approximate sharp-interface equations.
  • To evaluate the performance of new models against existing literature approaches.

Main Methods:

  • Construction of two new phase-field models designed to approximate sharp-interface equations.
  • Numerical simulations were conducted to compare the performance of the new models.
  • Comparison included standard and sophisticated models from existing literature.

Main Results:

  • A previously proposed straightforward phase-field approach was found to exhibit subtle failures in producing correct asymptotics.
  • The newly developed models demonstrated superior performance in specific situations compared to literature models.
  • Numerical simulations provided a quantitative assessment of the relative merits of each phase-field approach.

Conclusions:

  • The phase-field method for surface-diffusion controlled dynamics requires careful model construction.
  • The developed models offer improved accuracy and reliability for simulating surface diffusion.
  • These findings advance the computational tools available for studying materials evolution and surface phenomena.