The order of condensation in capillary grooves

J Phys Condens Matter. 2013 May 15;25(19):192101. doi: 10.1088/0953-8984/25/19/192101. Epub 2013 Apr 24.

Abstract

We consider capillary condensation in a deep groove of width L. The transition occurs at a pressure p(co)(L) described, for large widths, by the Kelvin equation p(sat) - p(co)(L) = 2σ cosθ/L, where θ is the contact angle at the side walls and σ is the surface tension. The order of the transition is determined by the contact angle of the capped end θcap; it is continuous if the liquid completely wets the cap, and first-order otherwise. When the transition is first-order, corner menisci at the bottom of the capillary lead to a pronounced metastability, determined by a complementary Kelvin equation Δp(L) = 2σ sinθcap/L. On approaching the wetting temperature of the capillary cap, the corner menisci merge and a single meniscus unbinds from the bottom of the groove. Finite-size scaling shifts, crossover behaviour and critical singularities are determined at mean-field level and beyond. Numerical and experimental results showing the continuous nature of condensation for θcap = 0 and the influence of corner menisci on adsorption isotherms are presented.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Capillary Action*
  • Computer Simulation
  • Models, Chemical*
  • Phase Transition
  • Rheology / methods*
  • Solutions / chemistry*
  • Wettability

Substances

  • Solutions