Guiding center drift induced by homogenization (Q2884807)
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scientific article; zbMATH DE number 6036490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Guiding center drift induced by homogenization |
scientific article; zbMATH DE number 6036490 |
Statements
18 May 2012
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memory effect
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two-scale convergence
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Radon measure
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Volterra integral equation
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Lorenz equation
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oscillating magnetic field
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0.78626746
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0.7729831
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0.77085686
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0.76523507
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0.76472193
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0.76002824
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Guiding center drift induced by homogenization (English)
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The authors prove a result concerning the homogenization of the Lorenz equation with oscillating magnetic field. The limit equation achieved by homogenization process is an integro-differential equation and the memory kernel is described by the Volterra equation and can be characterized explicitly in terms of a Radom measure. It describes the extra velocity drift. By using the velocity drift, Gauss's law appears with polarization charges.
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