Diffusion Path Stochastization in the Two-Phase Region

The presence of the jump ofp [51], which is equivalent to difiusion path breaks along one of the conodes can be described using the balance flux equation on the 

Let Ml and Mi be constant (they do not change at the p jump). In this case for the compatibility of Equation 10.27 the following conditions 

Let us consider another interpretation interdiffusion in a two-phase zone of a ternary system can be formally defined with the help of ordinary Pick s equation system with a 2 x 2 matrix of diffusion coefficients D,j. But here the coefficients are not independent [37] (it means that there is only one thermodynamic degree of freedom at fixed T and p). Here det Dy=0 or D = 0, that is, the matrix of interdiffusion coefficients is degenerated. It should be mentioned that the condition det D,j=0 (or D = 0 for the binary alloy) is inherent for the spinodal, which is also characterized by the stochastization and the final state indefinabihty. 

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