The spherical model with two external charges.
Duration: 56 mins 25 secs
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About this item
| Description: |
Kuijlaars, A
Tuesday 10th September 2019 - 11:30 to 12:30 |
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| Created: | 2019-09-10 13:11 |
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| Collection: | The complex analysis toolbox: new techniques and perspectives |
| Publisher: | Isaac Newton Institute |
| Copyright: | Kuijlaars, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | I will discuss a model from electrostatics where N charged particles with charge 1/N distribute themselves over the unit sphere in the presence of a finite number of fixed charges. In the large N limit the particles concentrate on a part of the sphere with uniform density. This is the droplet. After stereographic projection, this model is analyzed in the complex plane with tools from logarithmic potential theory. For the case of two equal charges we compute a mother body, which is then used to determine the droplet explicitly. This is joint work Juan Criado del Rey. |
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