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Numerical determination of the effective moments of non-spherical particles

Green, Nicolas G and Jones, Thomas B (2007) Numerical determination of the effective moments of non-spherical particles Journal of Physics D: Applied Physics, 40, (1), pp. 78-85. (doi:10.1088/0022-3727/40/1/S12).

Record type: Article


Dielectric characterisation of polarisable particles, and prediction of the forces and torques exerted upon them, relies on the knowledge of the effective, induced dipole moment. In turn, through the mechanism of depolarisation, the induced dipole moment of a particle is strongly dependent upon its shape. Since realistic shapes create modelling difficulties, the ‘spherical particle’ approximation is often invoked. However, in many cases, including biological dielectric spectroscopy and dielectrophoresis, this assumption is a poor one. For example, human erythrocytes are essentially oblate spheroids with indented sides, while viruses and bacteria often have elongated cigar shapes. Since shape-dependent polarisation both strongly influences the accuracy of conventional dielectric characterisation methods using Maxwell’s mixture formula and confounds accurate prediction of dielectrophoretic forces and torques, it is important to develop means to treat non-spherical particles. In this paper, we demonstrate a means to extract the dipole moment directly from numerical solutions of the induced electrostatic potential when a particle is placed in a uniform electric field. The accuracy of the method is demonstrated for a range of particle shapes: spherical, ellipsoidal, truncated cylinders and an approximation of an erythrocyte, the red blood cell.

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Published date: January 2007
Keywords: dielectric theory, dielectrophoresis, numerical simulation
Organisations: Electronics & Computer Science


Local EPrints ID: 263564
ISSN: 0022-3727
PURE UUID: 45b73aa7-2041-404b-9f13-08fdf3c13283
ORCID for Nicolas G Green: ORCID iD

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Date deposited: 19 Feb 2007
Last modified: 18 Jul 2017 07:44

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Author: Nicolas G Green ORCID iD
Author: Thomas B Jones

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