Probing infinity in bounded two-dimensional electrostatic systems
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 f...
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American Institute of Physics
2016
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| _version_ | 1825721038928871424 |
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| author | Abutalib, M. Batle, J. Raymond Ooi, C.H. |
| author_facet | Abutalib, M. Batle, J. Raymond Ooi, C.H. |
| author_sort | Abutalib, M. |
| collection | UM |
| description | 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. |
| first_indexed | 2024-03-06T05:44:16Z |
| format | Article |
| id | um.eprints-18039 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:44:16Z |
| publishDate | 2016 |
| publisher | American Institute of Physics |
| record_format | dspace |
| spelling | um.eprints-180392017-10-23T02:17:56Z http://eprints.um.edu.my/18039/ Probing infinity in bounded two-dimensional electrostatic systems Abutalib, M. Batle, J. Raymond Ooi, C.H. QC Physics 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. American Institute of Physics 2016 Article PeerReviewed 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, DOI https://doi.org/10.1063/1.4959138 <https://doi.org/10.1063/1.4959138>. http://dx.doi.org/10.1063/1.4959138 doi:10.1063/1.4959138 |
| spellingShingle | QC Physics Abutalib, M. Batle, J. Raymond Ooi, C.H. Probing infinity in bounded two-dimensional electrostatic systems |
| title | Probing infinity in bounded two-dimensional electrostatic systems |
| title_full | Probing infinity in bounded two-dimensional electrostatic systems |
| title_fullStr | Probing infinity in bounded two-dimensional electrostatic systems |
| title_full_unstemmed | Probing infinity in bounded two-dimensional electrostatic systems |
| title_short | Probing infinity in bounded two-dimensional electrostatic systems |
| title_sort | probing infinity in bounded two dimensional electrostatic systems |
| topic | QC Physics |
| work_keys_str_mv | AT abutalibm probinginfinityinboundedtwodimensionalelectrostaticsystems AT batlej probinginfinityinboundedtwodimensionalelectrostaticsystems AT raymondooich probinginfinityinboundedtwodimensionalelectrostaticsystems |