Theory of deflagration and fronts of tunneling in molecular magnets
  Decay of metastable states in molecular magnets (MM) leads to energy release that results in temperature increase that, in turn, positively affects the decay rate. This is the mechanism of recently discovered magnetic deflagration that is similar to regular chemical burning and can propagate in a form of burning fronts in long MM crystals. Near spin-tunneling resonances the decay rate is also affected by the dipolar field (self-consistent with the switching magnetization) that can block or unblock tunneling. There are non-thermal fronts of tunneling in which the magnetization adjusts in such a way that the system is on resonance within the front core, so that the tunneling front can propagate. In general, both dipolar field and temperature control fronts of quantum deflagration. The front speed can reach sonic values if a strong transverse field is applied to boost tunneling. 
D. A. Garanin
cond-mat.mes-hall