Abstract
The guiding center drift induced by the homogenization of the Lorentz forces is studied. It generates memory effects. The memory (or nonlocal) kernel is described by the Volterra integral equation. The memory kernel can be characterized explicitly in terms of a Radon measure. It describes the extra velocity drift. By way of velocity drift, we view the Gauss's law with polarization charges.
Original language | English |
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Article number | 1150027 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 22 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 2012 |
Externally published | Yes |
Keywords
- Guiding center
- Radon measure
- Volterra integral equation
- homogenization
- memory effect
- two-scale convergence