Verification and Limitations of LSW Theory

To analyse the grain growth in a real system using the LSW theory, the validity of the basic assumptions that are involved in the derivation of the theory has 

Another assumption concerns the rate controlling species. In the LSW theory, the species that controls the grain growth is the solute in the matrix. For compounds, however, the controlling species may vary. Maintenance of the correct chemical composition of the grains also requires a flux coupling of the species in the matrix. This composition constraint can be met by an effective diffusion coefficient as in the case of the diffusion in an ionic compound (see Section 13.1). 

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