Magnetization dynamics including spin-torque

The applet below calculates the time evolution of the magnetization of a single domain particle using the Landau-Lifshitz Gilbert equation including damping and spin-torque. The direction of the external magnetic field, the damping constant, the direction of the spin-polarization and the anisotropy of the particle can be changed while the simulation is running.

See also:
Magnetization reversal applet
Stoner-Wohlfarth astroid applet
Basic magnetization dynamics applet.
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Simulation of the magnetization dynamics

The simulation solves the Landau-Lifshitz Gilbert equation:

by using a Runge-Kutta-Fehlberg 5(4) algorithm. Where \hat{m} is the unit magnetization vector, \vec{H}_{tot} is the total magnetic field consisting of the effective field \vec{H}_{eff} and the spin-torque field \vec{H}_{ST} which can not be written as the variational derivative of a free-energy functional. The free energy of entering the effective field includes the external magnetic field, a uniaxial anisotropy. In addition a random field with Gaussian distributions for each component is included. \gamma is the gyromagnetic ratio. The scalar function g is given by , with P the polarizing factor for the spin polarized current.

Here are some hints:

Other tips:


This material is based upon work supported by the National Science Foundation under Grant No. 0804243. Any opinions, findings and conclusions or recomendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).
Created with Easy Java Simulations


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