Pattern Formation in Pitting Dissolution of the Polishing State

Morphological Pattern Formation in Pitting Dissolution of the Polishing State 

It is also well known that a local breakdown passivity that leads to pitting can be treated as a random phenomenon occurring stochastically with respect to time and location on the surface of the metal.21-23,97 Reigata et al.% have recently formulated the stochastic formation mechanism of a pit 

the amplitude cj,(0,Of, is calculated by Eq. (91). Then, taking the Fourier inversion of the amplitude, the space-variable component of the surface concentration fluctuation is obtained, 

As shown by the flow chart in Fig. 49, at first a wave number plane is divided into a mesh with 128 x 128 rectangular mesh points. Then the amplitude of the concentration fluctuation at t = 0 corresponding to each 

The unstable growth of the asymmetrical fluctuation controlling the progress of pitting is determined by Eqs. (42a), (42b), and (43). However, since the intrinsic amplitude c (0, f)fnt has the spectrum shown in Eq. (95), of which the autocorrelation distance is a is given by 

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