title: Probing infinity in bounded two-dimensional electrostatic systems.
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.
authors.affiliation: Department of Physics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: M
authors.initials: M
authors.lastname: Abutalib
authors.affiliation: Departament de Física, Universitat de les Illes Balears, 07122 Palma de Mallorca, Balearic Islands, Europe.
authors.forename: J
authors.initials: J
authors.lastname: Batle
authors.affiliation: Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia.
authors.forename: C H Raymond
authors.initials: CH
authors.lastname: Ooi