The excess vacancy concentration in a periodic laminate structure was examined by modifying Darken’s equations for a finite sized binary diffusion couple. These equations were solved numerically for the excess or supersaturated vacancy concentration in a Cu–Ni laminate structure.

Diffusion and Excess Vacancy Production in Cu–Ni Laminates. R.A.Masumura, B.B.Rath, C.S.Pande: Materials Science and Engineering A, 2003, 346[1-2], 60-4