  Long-ranged dipole-dipole interactions in magnetic glasses give rise to
magnetic domains having labyrinthine patterns. Barkhausen Noise is then
expected to result from the movement of domain boundaries which is supposed to
be modeled by the motion of elastic membranes with random pinning. We propose
an atomistic model of such magnetic glasses in which we measure the Barkhausen
Noise which indeed results from the movement of domain boundaries. Nevertheless
the statistics of the Barkhausen Noise is found in striking disagreement with
the expectations in the literature. In fact we find exponential statistics
without any power law, stressing the fact that Barkhausen Noise can belong to
very different universality classes. In this glassy system the essence of the
phenomenon is the ability of spin-carrying particles to move and minimize the
energy without any spin flip. A theory is offered in excellent agreement with
the measured data without any free parameter.

Soft Condensed Matter;Statistical Mechanics