Probing infinity in bounded two-dimensional electrostatic systems

Abutalib, M. and Batle, J. and Raymond Ooi, C.H. (2016) Probing infinity in bounded two-dimensional electrostatic systems. Chaos, 26 (7). 073113. ISSN 1054-1500

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Official URL: http://dx.doi.org/10.1063/1.4959138

Abstract

The total electrostatic energy of systems of identical particles of equal charge is studied in configurations bounded in space, but divergent in the number of charges. This approach shall guide us to unveil a non-linear, functional form specifying the divergent nature of system energy. We consider fractals to be physical entities, with charges located in their vertices or nodes. This description is interesting since features, such as the corresponding fractal dimension, can characterize the total energy EN. Finally, at local length scales, we describe how energy diverges at charge accumulation points in the fractal, that is, almost everywhere by definition.

Item Type: Article
Uncontrolled Keywords: Probing infinity; Bounded two-dimensional; Electrostatic systems
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Dept of Physics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 23 Oct 2017 02:17
Last Modified: 23 Oct 2017 02:17
URI: http://eprints.um.edu.my/id/eprint/18039

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