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Multiscale deformation of a liquid surface in interaction with a nanoprobe

Ledesma-Alonso, René and Tordjeman, Philippe and Legendre, Dominique Multiscale deformation of a liquid surface in interaction with a nanoprobe. (2012) Physical Review E, vol. 85 (n° 6). pp. 1-10. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.85.061602

Abstract

The interaction between a nanoprobe and a liquid surface is studied. The surface deformation depends on physical and geometric parameters, which are depicted by employing three dimensionless parameters: Bond number Bo, modified Hamaker number Ha, and dimensionless separation distance D*. The evolution of the deformation is described by a strongly nonlinear partial differential equation, which is solved by means of numerical methods. The dynamic analysis of the liquid profile points out the existence of a critical distance D* min, below which the irreversible wetting process of the nanoprobe happens. For D* ≥ D*min, the numerical results show the existence of two deformation profiles, one stable and another unstable from the energetic point of view. Different deformation length scales, characterizing the stable liquid equilibrium interface, define the near- and the far-field deformation zones, where self-similar profiles are found. Finally, our results allow us to provide simple relationships between the parameters, which leads to determine the optimal conditions when performing atomic force microscope measurements over liquids.

Item Type:Article
Additional Information:Thanks to American Physical Review. The original PDF can be found at Physical Review E website: http://pre.aps.org/abstract/PRE/v85/i6/e061602
HAL Id:hal-00904859
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Philippe TORDJEMAN
Deposited On:15 Nov 2013 12:31

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