We consider a magnetic Bianchi I braneworld, embedded in between two
Schwarzschild-AdS spacetimes, boosted equal amounts in opposite directions and
compare them to the analagous solution in four-dimensional General Relativity.
The efficient dissipation of anisotropy on the brane is explicitly
demonstrated, a process we dub braneworld isotropization. From the bulk point
of view, we attribute this to anisotropic energy being carried into the bulk by
hot gravitons leaving the brane. From the brane point of view this can be
interpreted in terms of the production of particles in the dual CFT. We explain
how this result enables us to gain a better understanding of the behaviour of
anisotropic branes already studied in the literature. We also show how there is
evidence of particles being over-produced, and comment on how this may
ultimately provide a possible observational signature of braneworlds.