{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T23:37:04Z","timestamp":1775950624772,"version":"3.50.1"},"reference-count":10,"publisher":"AIP Publishing","issue":"4","funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["SFRH\/BPD\/69201\/2010"],"award-info":[{"award-number":["SFRH\/BPD\/69201\/2010"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2015,7,27]]},"abstract":"<jats:p>In this article, we measure the viscous damping G\u2033, and the associated stiffness G\u2032, of a liquid flow in sphere-plane geometry over a large frequency range. In this regime, the lubrication approximation is expected to dominate. We first measure the static force applied to the tip. This is made possible thanks to a force feedback method. Adding a sub-nanometer oscillation of the tip, we obtain the dynamic part of the interaction with solely the knowledge of the lever properties in the experimental context using a linear transformation of the amplitude and phase change. Using a Force Feedback Microscope (FFM), we are then able to measure simultaneously the static force, the stiffness, and the dissipative part of the interaction in a broad frequency range using a single AFM probe. Similar measurements have been performed by the Surface Force Apparatus (SFA) with a probe radius hundred times bigger. In this context, the FFM can be called nano-SFA.<\/jats:p>","DOI":"10.1063\/1.4927654","type":"journal-article","created":{"date-parts":[[2015,7,28]],"date-time":"2015-07-28T00:30:29Z","timestamp":1438043429000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":4,"title":["Proximity effect on hydrodynamic interaction between a sphere and a plane measured by force feedback microscopy at different frequencies"],"prefix":"10.1063","volume":"107","author":[{"given":"Simon","family":"Carpentier","sequence":"first","affiliation":[{"name":"Univ. Grenoble Alpes 1 , F-38000 Grenoble, France"},{"name":"CNRS 2 , Inst NEEL, F-38042 Grenoble, France"}]},{"given":"Mario","family":"S. Rodrigues","sequence":"additional","affiliation":[{"name":"University of Lisboa 3 BioISI-Biosystems and Integrative Sciences Institute, Faculty of Sciences, , Campo Grande, Lisboa, Portugal"}]},{"given":"Elisabeth","family":"Charlaix","sequence":"additional","affiliation":[{"name":"CNRS 4 , LIPhy, Grenoble F-38402, France"}]},{"given":"Jo\u00ebl","family":"Chevrier","sequence":"additional","affiliation":[{"name":"Univ. Grenoble Alpes 1 , F-38000 Grenoble, France"},{"name":"CNRS 2 , Inst NEEL, F-38042 Grenoble, France"}]}],"member":"317","published-online":{"date-parts":[[2015,7,27]]},"reference":[{"key":"2023061717255042200_c1","unstructured":"S.\u2008Carpentier, M. S.\u2008Rodrigues, and J.\u2008Chevrier, \u201cVariable frequency characterization of interaction at nanoscale in linear dynamic AFM: An FFM primer,\u201d preprint arXiv:1412.2640 (2014)."},{"key":"2023061717255042200_c2","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1017\/S0022112010006555","article-title":"Hydrodynamic interactions for the measurement of thin film elastic properties","volume":"674","year":"2011","journal-title":"J. Fluid Mech."},{"key":"2023061717255042200_c3","volume-title":"Intermolecular and Surface Forces","year":"1992"},{"key":"2023061717255042200_c4","unstructured":"S.\u2008Carpentier, M. S.\u2008Rodrigues, L.\u2008Costa, M. V.\u2008Vitorino, E.\u2008Charlaix, and J.\u2008Chevrier, \u201cOut of equilibrium GigaPa Young modulus of water nanobridge probed by force feedback microscopy,\u201d preprint arXiv:1503.06756 (2015)."},{"issue":"5","key":"2023061717255042200_c5","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1140\/epje\/i2002-10096-x","article-title":"Hydrodynamic interaction of AFM cantilevers with solid walls: An investigation based on AFM noise analysis","volume":"9","year":"2002","journal-title":"Eur. Phys. J. E: Soft Matter Biol. Phys."},{"issue":"7","key":"2023061717255042200_c6","doi-asserted-by":"publisher","first-page":"074907","DOI":"10.1063\/1.1873060","article-title":"Hydrodynamics of oscillating atomic force microscopy cantilevers in viscous fluids","volume":"97","year":"2005","journal-title":"J. Appl. 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Syst."}],"container-title":["Applied Physics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/apl\/article-pdf\/doi\/10.1063\/1.4927654\/14469989\/044101_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/apl\/article-pdf\/doi\/10.1063\/1.4927654\/14469989\/044101_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,17]],"date-time":"2023-06-17T17:26:03Z","timestamp":1687022763000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/apl\/article\/107\/4\/044101\/30526\/Proximity-effect-on-hydrodynamic-interaction"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7,27]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,7,27]]}},"URL":"https:\/\/doi.org\/10.1063\/1.4927654","relation":{},"ISSN":["0003-6951","1077-3118"],"issn-type":[{"value":"0003-6951","type":"print"},{"value":"1077-3118","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2015,7,27]]},"published":{"date-parts":[[2015,7,27]]},"article-number":"044101"}}