PMID: 15244591Jul 13, 2004Paper

Statistical mechanics of fluids adsorbed in planar wedges: finite contact angle

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
J R Henderson

Abstract

I consider the statistical mechanics of inhomogeneous fluids applied to fluids adsorbed in planar wedges. Exact results are described that belong to an infinite subset of models defined as the intersection of any two identical semi-infinite planar wall-fluid potentials. This geometry is interesting as a generic example of adsorption onto structured interfaces and of interfacial phase transitions controlled by the substrate geometry. Previously described virial theorems are extended to the case of a general wall-fluid model. This enables the consideration of wedge filling when Young's contact angle far from the wedge apex is finite. The virial theorems generate two important relations: the wedge sum rules. The first sum rule links the interfacial free energy far from the wedge apex to the structure induced at the apex. The second sum rule links the free energy of the apex region to the structure induced by the apex. When Young's contact angle at the wedge walls is finite these relations further yield an exact result for the macroscopic contact angle in terms of the nanoscopic structure at the three-phase contact line (the intersection of the liquid-vapor surface with a wedge wall): the contact angle sum rule. These exact results...Continue Reading

References

Oct 15, 1992·Physical Review. a·E H Hauge
Sep 16, 2000·Physical Review Letters·A O ParryA J Wood
Jul 23, 2004·The Journal of Chemical Physics·J R Henderson
Jun 1, 1969·Proceedings of the National Academy of Sciences of the United States of America·P Concus, R Finn

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Citations

Apr 20, 2005·The Journal of Chemical Physics·T A MykhaylykJ R Henderson
Mar 3, 2010·The Journal of Chemical Physics·A R Herring, J R Henderson
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Palágyi, S Dietrich
Mar 17, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Andrew O Parry, Carlos Rascón
Dec 2, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Álvaro Rodríguez-RivasJosé M Romero-Enrique
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J R Henderson
May 3, 2018·The Journal of Chemical Physics·Srikanth RavipatiAmparo Galindo

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