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Numerical study of the effect of structure and geometry on van der Waals forces
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics.
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-6281-868X
2008 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 41, no 16, 164008- p.Article in journal (Refereed) Published
Abstract [en]

We use multipolar expansions to find the force on a gold-coated sphere above a gold substrate; we study both an empty gold shell and a gold-coated polystyrene sphere. We find four characteristic separation ranges. In the first region, which for the empty gold shell occurs for distances, d, smaller than the thickness of the coating, the result agrees with that on a solid gold sphere and varies as d-2; for larger separations there is a region where the force behaves as if the coating is strictly two-dimensional and varies as d-5/2; in the third region the dependence is more unspecific; in the fourth region, when d is larger than the radius, the force varies as d -4. For homogeneous objects of more general shapes, we introduce a numerical method based on the solution of an integral equation for the electric field over a system of objects with arbitrary shapes. We study the effect of shape and orientation on the van der Waals interaction between an object and a substrate and between two objects.

Place, publisher, year, edition, pages
Institutionen för fysik, kemi och biologi , 2008. Vol. 41, no 16, 164008- p.
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-11922DOI: 10.1088/1751-8113/41/16/164008OAI: oai:DiVA.org:liu-11922DiVA: diva2:18306
Note

Original publication: C.E. Román-Velázquez and B.E. Sernelius, Numerical study of the effect of structure and geometry on van der Waals forces, 2008, Journal of Physics A: Mathematical and Theoretical, (41), 16, 164008. http://dx.doi.org/10.1088/1751-8113/41/16/164008. Copyright: Institute of Physics and IOP Publishing Limited, http://www.iop.org/

Available from: 2008-05-28 Created: 2008-05-28 Last updated: 2017-12-13

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Román-Velázquez, Carlos EnriqueSernelius, Bo E.

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