1997/12/03 by Jorgen Vitting Andersen, Jørgen Vitting Andersen, Henrik Jeldtoft Jensen +2
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Condensed Matter (cond-mat) #FOS: Physical sciences #Micro and Nano Robotics #cond-mat #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.cond-mat/9712043
Revtex, 7 pages
arxiv created 1997/12/03 · openalex publication_date 1997/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the case of contact angle hysteresis, when a solid defect is\nquasi-statically pulled out and pushed into a liquid, in the presence of\ngravity. We solve the problem analytically in an approximation which, in the\ncase of a truncated parabolic pinning force becomes exact in the the limit of\nslow variations in the height of the liquid vapour interface. The case of a\nGaussian pinning force is solved by a geometrical construction. We show that\nthe extension of the defect, and not the capillary length, is the determining\nlength scale, when the extension of the defect is much smaller than the\ncapillary length.\n