Rotational remanent magnetization and the torque exerted on a rotating rock in an alternating magnetic field

Abstract

Using an air turbine at rotation frequencies of between 1.5 and 275 revolutions per second (rps), the dependence of rotational remanent magnetization (RRM) on rotation frequency has been investigated for two igneous samples in and alternating field of 51 mT peak at 50 Hz. The same experimental arrangement has also been used to measure the dependence on rotation frequency of the torque exerted by the alternating field on the rock samples. The dependence of torque and RRM on peak field has also been measured at a rotation frequency of 112 rps and a linear relationship between RRM and torque has been demonstrated. In an attempt to elucidate the way in which RRM arises, analytical and numerical models of the rock have been developed in order to calculate the torque curves and these agree quite closely with those observed experimentally. While the precise factor responsible for RRM has not yet been identified from the numerical model it is suggested that RRM may arise as a result of particle moments suddenly flipping into the field direction, and thus by virtue of their intrinsic angular momentum acquiring a transient component of magnetic moment antiparallel to the rotation vector describing the flip. This component, due to the hysteresis of the assembly of particles, will not then entirely disappear when the alternating field is removed. An estimate of the transient axial field which can be considered to deflect each moment towards the rotation axis during the flip yields a value of the order of 1 mT.