A model is constructed to explain pattern formation in metallic glasses induced by helium-ion implantation. The migration of helium atoms is considered. The helium atoms are assumed to be in quasifree, in trapped, or captured, states. The density of the quasifree atoms and the energy density are governed by nonlinearly coupled diffusion-type equations. The critical value of the control parameter and the critical wave number characterizing the soft-mode instability of the system are determined. Their order of magnitude agree with that of the experimental data. Formally, the model can be reduced to the well-known Brusselator but the control parameter differs from that of the standard case.
ASJC Scopus subject areas
- Condensed Matter Physics