The presence of atomic oxygen at internal metal-ceramic oxide interfaces significantly affects the physical properties of the interfaces which in turn affects the bulk properties of the material. We address this problem for the case of a constant source of oxygen at the surface and periodic and stochastic arrangements of ceramic oxide particles (MgO) embedded in a metal matrix (Ag). We simulate the time-dependence of the oxygen concentration depth profiles into the material using a newly developed lattice Monte Carlo method and a previous finite element method, the latter making use of an extended commercial code. There is very good agreement between the results of these numerical methods.

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