On scaling laws for multi-well nucleation problems without gauge invariances

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SUMMARY

    The authors seek to identify model settings in which a relatively simple quantity, the order of lamination of the parent phase with respect to the nucleating phase, determines the "degree of complexity" of the scaling law for the resulting microstructure. Seeking to provide optimal scaling laws, the authors simplify the problem and do not include the typical gauge invariances (e_g invariances with respect to the action of the groups S O(n) or Skew(n)) arising from the physical requirement of frame-indifference, but study quantitative and discrete versions of m-well problems as . . .

     

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