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Film rupture in the diffuse interface model coupled to hydrodynamics.

U Thiele1, M G Velarde, K Neuffer

  • 1Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, 28040 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 3, 2001
PubMed
Summary

This study explores thin liquid film dewetting, revealing distinct thickness ranges influencing instability and structure formation. Finite perturbations are crucial in specific unstable ranges, differing from previous assumptions.

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Area of Science:

  • Physics of thin films
  • Fluid dynamics
  • Soft matter physics

Background:

  • Dewetting of thin liquid films is typically modeled using long-wave approximations and disjoining pressure.
  • A novel disjoining pressure model coupling hydrodynamics with diffuse interface theory was recently developed.
  • This new model provides a basis for examining the complex dynamics of unstable thin films.

Purpose of the Study:

  • To analyze the evolution equation derived from the new disjoining pressure model.
  • To investigate thickness ranges for linear instability and metastability in flat films.
  • To characterize stationary solutions and their stability, comparing with nonlinear simulations.

Main Methods:

  • Analysis of a generic evolution equation for unstable thin films.

Related Experiment Videos

  • Examination of linear instability and metastability criteria.
  • Identification and stability analysis of periodic and localized stationary solutions.
  • Comparison with nonlinear time evolution simulations.

    • Main Results:

    • Identified specific thickness subranges where finite perturbations significantly impact time evolution and structure formation.
    • Demonstrated that in other unstable ranges, structures are governed by the fastest flat film mode.
    • Provided a detailed comparison between theoretical predictions and simulation results.

    Conclusions:

    • The study refines understanding of structure formation in dewetting thin films.
    • Highlights the importance of perturbation magnitude in specific unstable thickness regimes.
    • Discusses implications for other disjoining pressure models and spinodal decomposition.