Behavior of the van der Waals force between a plate and a single-walled carbon nanotube under uniform hydrostatic pressure: a theoretical study
Autor: | Daniel Dantchev, Vassil M. Vassilev, Peter A. Djondjorov, Galin Valchev |
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Rok vydání: | 2019 |
Předmět: |
Surface (mathematics)
Materials science Hydrostatic pressure FOS: Physical sciences 02 engineering and technology Carbon nanotube Substrate (electronics) Condensed Matter - Soft Condensed Matter 01 natural sciences law.invention symbols.namesake Cross section (physics) Derjaguin approximation law 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) General Materials Science Tube (fluid conveyance) 010306 general physics Condensed Matter - Mesoscale and Nanoscale Physics Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics symbols Soft Condensed Matter (cond-mat.soft) van der Waals force 0210 nano-technology |
DOI: | 10.48550/arxiv.1911.06779 |
Popis: | We study the behaviour of the non-retarded van der Waals force between a planar substrate and a single-walled carbon nanotube, assuming that the system is immersed in a liquid medium which exerts hydrostatic pressure on the tube's surface, thereby altering its cross-section profile. The shape of the latter is described as a continual structure characterized by its symmetry index $n$. Two principle mutual positions of the tube with respect to the substrate are studied: when one keeps constant the minimal separation between the surfaces of the interacting objects; when the distance from the tube's axis to the substrates bounding surface is fixed. Within these conditions, using the technique of the surface integration approach, we derive an integral form of the expressions which give the dependence of the commented force on the applied pressure. Comment: 10 pages, 5 figures |
Databáze: | OpenAIRE |
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