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Analytical theory and stability analysis of an elongated nanoscale object under external torque

Ghosh, Arijit and Mandal, Pranay and Karmakar, Suman and Ghosh, Ambarish (2013) Analytical theory and stability analysis of an elongated nanoscale object under external torque. In: Physical Chemistry Chemical Physics, 15 (26). pp. 10817-10823.

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Official URL: http://dx.doi.org/10.1039/C3CP50701G

Abstract

We consider the rotational motion of an elongated nanoscale object in a fluid under an external torque. The experimentally observed dynamics could be understood from analytical solutions of the Stokes equation, with explicit formulae derived for the dynamical states as a function of the object dimensions and the parameters defining the external torque. Under certain conditions, multiple analytical solutions to the Stokes equations exist, which have been investigated through numerical analysis of their stability against small perturbations and their sensitivity towards initial conditions. These experimental results and analytical formulae are general enough to be applicable to the rotational motion of any isolated elongated object at low Reynolds numbers, and could be useful in the design of non-spherical nanostructures for diverse applications pertaining to microfluidics and nanoscale propulsion technologies.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Royal Society of Chemistry.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Division of Interdisciplinary Research > Centre for Nano Science and Engineering
Depositing User: Francis Jayakanth
Date Deposited: 30 Jul 2013 12:02
Last Modified: 30 Jul 2013 12:02
URI: http://eprints.iisc.ac.in/id/eprint/46923

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