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Two-dimensional steady states in off-critical mixtures with high interface tension

  • Fathi A. M. Bribesh
  • Santiago Madruga
  • Uwe Thiele
Regular Article

Abstract

We present 2D steady concentration profiles of confined layers of off-critical polymer blends. The layer rests on a solid substrate and has a flat free surface due to very high surface tension. The profiles correspond to non-linear steady solutions of the Cahn-Hilliard equation in a rectangular domain. The free polymer-gas interface is considered to be sharp, while the internal interfaces are diffuse. We explore the rich solution structure (including laterally structured layers, stratified layers, checkerboard structures, oblique states and droplets) as a function of mean concentration.

Keywords

Free Surface European Physical Journal Special Topic Bifurcation Diagram Homogeneous State Rectangular Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • Fathi A. M. Bribesh
    • 1
    • 2
  • Santiago Madruga
    • 3
  • Uwe Thiele
    • 1
  1. 1.Department of Mathematical SciencesLoughborough UniversityLoughborough, LeicestershireUK
  2. 2.Department of MathematicsZawia UniversityZawiaLibya
  3. 3.ETSI AeronáuticosUniversidad Politécnica de MadridMadridSpain

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