dorsal/arxiv
View SchemaMinimal energy configurations for charged particles on a thin conducting disc: the perimeter particles
| Authors | A. Worley |
|---|---|
| Categories | |
| ArXiv ID | physics/0609231 |
| URL | https://arxiv.org/abs/physics/0609231 |
Abstract
The lowest energy configurations for N equal charged particles confined to a thin conducting disc have been investigated in detail up to N=160 and in outline for further values up to N=500. For all values of N up to 160 the particle configurations can be described in terms of concentric shells. The number of perimeter particles p appears to be simply related to N and to the mean radius of the outermost internal shell. Justification for these relations is obtained from a simple model based on the well-known distribution of continuous charge on a conducting disc.
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"abstract": "The lowest energy configurations for N equal charged particles confined to a\nthin conducting disc have been investigated in detail up to N=160 and in\noutline for further values up to N=500. For all values of N up to 160 the\nparticle configurations can be described in terms of concentric shells. The\nnumber of perimeter particles p appears to be simply related to N and to the\nmean radius of the outermost internal shell. Justification for these relations\nis obtained from a simple model based on the well-known distribution of\ncontinuous charge on a conducting disc.",
"arxiv_id": "physics/0609231",
"authors": [
"A. Worley"
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"title": "Minimal energy configurations for charged particles on a thin conducting disc: the perimeter particles",
"url": "https://arxiv.org/abs/physics/0609231"
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