Abstract
We study the Landau-Lifshitz-Gilbert equation for the dynamics
of a magnetic vortex system. We include the spin-torque effects of an applied
spin current, and rigorously derive an equation of motion ("Thiele equation")
for vortices if the current is not too large. Our method of proof strongly utilizes
the geometry of the problem in order to obtain the necessary energy estimates.
| Original language | English |
|---|---|
| Pages (from-to) | 1099-1121 |
| Number of pages | 23 |
| Journal | SIAM Journal on Mathematical Analysis (SIMA) |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2011 |