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Journal of Chemical Physics / Volume 136 / Issue 6 / ARTICLES / Surfaces, Interfaces, and Materials

J. Chem. Phys. 136, 064702 (2012); http://dx.doi.org/10.1063/1.3682775 (20 pages)

Mesoscopic analysis of Gibbs’ criterion for sessile nanodroplets on trapezoidal substrates

F. Dutka1,2, M. Napiórkowski3, and S. Dietrich1,2

1Max Planck Institute for Intelligent Systems, Heisenbergstrasse 3, 70569 Stuttgart, Germany
2Institute for Theoretical and Applied Physics, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
3Institute of Theoretical Physics, University of Warsaw, Hoża 69, 00-681 Warszawa, Poland

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(Received 22 November 2011; accepted 17 January 2012; published online 8 February 2012)

By taking into account precursor films accompanying nanodroplets on trapezoidal substrates we show that on a mesoscopic level of description one does not observe the phenomenon of liquid-gas-substrate contact line pinning at substrate edges. This phenomenon is present in a macroscopic description and leads to non-unique contact angles which can take values within a range determined by the so-called Gibbs’ criterion. Upon increasing the volume of the nanodroplet the apparent contact angle evaluated within the mesoscopic approach changes continuously between two limiting values fulfilling Gibbs’ criterion, while the contact line moves smoothly across the edge of the trapezoidal substrate. The spatial extent of the range of positions of the contact line, corresponding to the variations of the contact angle between the values given by Gibbs’ criterion, is of the order of ten fluid particle diameters.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MODEL
  3. LIQUID-GAS INTERFACE CLOSE TO AN APEX-SHAPED SUBSTRATE
    1. Planar substrate
      1. Short-ranged forces
      2. Boundary conditions at a finite lateral position of the three-phase contact line
      3. Boundary conditions at the flat asymptote
    2. Apex-shaped substrate
      1. Equilibrium shape of the liquid-gas interface
      2. Gibbs’ criterion
  4. SESSILE DROPLETS ON TRAPEZOIDAL SUBSTRATES
    1. Planar substrate
      1. Stability of the droplet
      2. Macroscopic system
      3. Contact angles
    2. Trapezoidal substrate
      1. Macroscopic description
      2. Mesoscopic description
      3. Equilibrium shape of the sessile droplet
      4. Width of the transition region
      5. Line contribution to the free energy
  5. SUMMARY AND DISCUSSION
    1. Summary
    2. Discussion

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KEYWORDS and PACS

Keywords

adsorption, drops, mesoscopic systems

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3682775

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    L. Schimmele, M. Napiórkowski, and S. Dietrich, J. Chem. Phys. 127, 164715 (2007)JCPSA6000127000016164715000001.

    H. Kusumaatmaja, C. Pooley, S. Girardo, D. Pisignano, and J. Yeomans, Phys. Rev. E 77, 067301 (2008).

    R. S. Wagner and W. C. Ellis, Appl. Phys. Lett. 4, 89 (1964)APPLAB000004000005000089000001.

    S. Roper, A. Anderson, S. Davis, and P. Voorhees, J. Appl. Phys. 107, 114320 (2010)JAPIAU000107000011114320000001.

    K. Schwarz and J. Tersoff, Phys. Rev. Lett. 102, 206101 (2009).

    B. Mognetti and J. Yeomans, Phys. Rev. E 80, 056309 (2009).

    D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Rev. Mod. Phys. 81, 739 (2009).

    J. Weijs, A. Marchand, B. Andreotti, D. Lohse, and J. Snoeijer, Phys. Fluids 23, 022001 (2011)PHFLE6000023000002022001000001.

    A. O. Parry, M. J. Greenall, and J. M. Romero-Enrique, Phys. Rev. Lett. 90, 046101 (2003).

    M. Napiórkowski and S. Dietrich, Phys. Rev. E 47, 1836 (1993).

    S. Dietrich and M. Napiórkowski, Phys. Rev. A 43, 1861 (1991).

    C. Bauer, T. Bieker, and S. Dietrich, Phys. Rev. E 62, 5324 (2000).

    T. Getta and S. Dietrich, Phys. Rev. E 57, 655 (1998).

    A. O. Parry, J. M. Romero-Enrique, and A. Lazarides, Phys. Rev. Lett. 93, 086104 (2004).

    A. O. Parry, C. Rascón, N. R. Bernardino, and J. M. Romero-Enrique, Phys. Rev. Lett. 100, 136105 (2008).

    A. O. Parry and C. Rascon, J. Chem. Phys. 132, 204704 (2010)JCPSA6000132000020204704000001.

    T. Aukrust and E. H. Hauge, Phys. Rev. Lett. 54, 1814 (1985).

    K. Glasner and T. Witelski, Phys. Rev. E 67, 016302 (2003).

    J. Buehrle, S. Herminghaus, and F. Mugele, Phys. Rev. Lett. 91, 086101 (2003).


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