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What I would really like is an explanation/discussion of how one in general forms a series expansion in space about the critical point and then a discussion of why all but a gradient(M) dot gradient(M) term can be neglected. And I don't want to really get my hopes up but a discussion of how accurate the spatial expansion is in general and when it is not so valid (when an expansion in space isn't valid, not the ginzburg criterion) would be amazing. Anyway, if someone could point me to a source that actually discusses in detail this non-trivial series expansion (or just explain it here) rather than plopping down gradient(M) dot gradient(M) and saying "well here's what Landau used and he knew his stuff" that would be amazing. Thanks in advance.

P.S. I've already been through Reichl, Huang, Pathria, Cardy and Kadanoff (and Landau obviously who started the whole thing by plopping down a term with a sentences justification). Not a one does it.