Theoretical Consideration of Wetting in Cassie-Baxter State on Multi-Pillar and Multi-Hole Surfaces: Thermodynamics and Laplace Pressure

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  • Mayama Hiroyuki
    Department of Chemistry, Asahikawa Medical University
  • Nishino Tomoki
    Department of Mechanical Engineering, Ritumeikan University
  • Sekiguchi Atsushi
    Department of Mechanical Engineering, Ritumeikan University Litho Tech Japan Corporation
  • Nishimura Ryo
    Department of Materials Chemistry, Faculty of Science and Technology, Ryukoku University
  • Uchida Kingo
    Department of Materials Chemistry, Faculty of Science and Technology, Ryukoku University
  • Yokojima Satoshi
    Schoo of Pharmacy, Tokyo University of Pharmacy and Life Sciences RIKEN Science, Technology and Innovation Hub, Nakamura Laboratory
  • Nakamura Shinichiro
    RIKEN Science, Technology and Innovation Hub, Nakamura Laboratory
  • Nonomura Yoshinume
    Department of Biochemical Engineering, Graduate School of Science and Engineering, Yamagata University

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<p>Wetting in Cassie-Baxter state on multi-pillar and multi-hole surfaces is discussed in terms of Gibbs free energy. To discuss thermodynamic stability, free-energy differences before and after the wetting are formulated. However, no difference between the Cassie-Baxter states on multi-pillar and multi-hole surfaces is found. Furthermore, Laplace pressure generated by pillars or by a hole is discussed to find the conditions to prevent the penetration of water into the space between the pillars and the hole. As a result, it is predicted the condition in which multi-hole surface easily generates higher Laplace pressure than multi-pillar surface and easy to prevent the penetration. In other words, it is found that the multi-hole surface is a promising way to generate the Cassie-Baxter state.</p>

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