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Avalanches of the magnetization, that is to say an abrupt reversal of themagnetization at a given field, have been previously reported in the spin-icecompound Dy$_{2}$Ti$_{2}$O$_{7}$. This out-of-equilibrium process, induced bymagneto-thermal heating, is quite usual in low temperature magnetizationstudies. A key point is to determine the physical origin of the avalancheprocess. In particular, in spin-ice compounds, the origin of the avalanchesmight be related to the monopole physics inherent to the system. We haveperformed a detailed study of the avalanche phenomena in three single crystals,with the field oriented along the [111] direction, perpendicular to [111] andalong the [100] directions. We have measured the changing magnetization duringthe avalanches and conclude that avalanches in spin ice are quite slow comparedto the avalanches reported in other systems such as molecular magnets. Ourmeasurements show that the avalanches trigger after a delay of about 500 ms andthat the reversal of the magnetization then occurs in a few hundreds ofmilliseconds. These features suggest an unusual propagation of the reversal,which might be due to the monopole motion. The avalanche fields seem to bereproducible in a given direction for different samples, but they stronglydepend on the initial state of magnetization and on how the initial state wasachieved.

Dynamic behavior of magnetic avalanches in the spin-ice compound Dy$_2$Ti$_2$O$_7$