Multipole polarizability of a graded spherical particle |
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| Authors: | L?Dong J P?Huang Email author" target="_blank">K W?YuEmail author G Q?Gu |
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| Institution: | (1) Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, P.R. China;(2) Biophysics and Statistical Mechanics Group, Laboratory of Computational Engineering, Helsinki University of Technology, P. O. Box 9203, 02015 HUT, Finland;(3) Department of Physics, Fudan University, Shanghai, 200433, P.R. China;(4) Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, P.R. China;(5) College of Information Science and Technology, East China Normal University, Shanghai, 200 062, P.R. China |
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| Abstract: | We have studied the multipole polarizability of a graded spherical
particle in a nonuniform electric field, in which the conductivity can
vary radially inside the particle.
The main objective of this work is to access the effects of multipole
interactions at small interparticle separations, which can be important
in non-dilute suspensions of functionally graded materials.
The nonuniform electric field arises either from that applied on the
particle or from the local field of all other particles.
We developed a differential effective multipole moment approximation
(DEMMA) to compute the multipole moment of a graded spherical particle
in a nonuniform external field. Moreover, we compare the DEMMA results
with the exact results of the power-law graded profile and the agreement
is excellent. The extension to anisotropic DEMMA will be studied in an
Appendix. |
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