Magnetization dynamics: Difference between revisions

Revision as of 21:25, 16 September 2010

Revision as of 13:22, 23 March 2011

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Specifying that the applied magnetic field is in the <math>z</math> direction and separating the differential equation into its Cartesian components,

:<math>\frac{\mathrm{d}m_x}{\mathrm{d}t}=-\gamma \mu_0 m_y H_z \qquad \frac{\mathrm{d}m_y}{\mathrm{d}t}=-\gamma \mu_0 m_x H_z \qquad \frac{\mathrm{d}m_z}{\mathrm{d}t}=0</math>,

it can be explicitly seen that the instantaneous change in magnetic moment occurs perpendicular to both the applied field and the direction of the moment, with no change in moment in the direction of the field <ref name="getzlaff">M. Getzlaff, ''Fundamentals of magnetism'', Berlin: Springer-Verlag, 2008.</ref>.

== Damping ==

While the transfer of angular momentum on a magnetic moment from an applied magnetic field is shown to cause precession of the moment about the field axis, the rotation of the moment into alignment with the field occurs through damping processes.