Affiliations 

  • 1 Department of Physics, Faculty of Science, Al Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia
  • 2 Departament de Física, Universitat de les Illes Balears, 07122 Palma de Mallorca, Balearic Islands, Europe
  • 3 Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia
Chaos, 2016 Jul;26(7):073113.
PMID: 27475073 DOI: 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.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.