Solution

ID: past-exam-of-the-quantum-condensed-matter-course-of-the-university-of-cambridge/2007/section-a/a3/d/solution

For a concentration blob with ideal segments, and concentration matching gives . Thus the concentration-blob size in a theta solvent is
The whole chain contains about ten blobs, so the separation of scales is moderate. Below , theta-solvent segments have ideal chain statistics; above it, screening also gives Gaussian random-walk statistics for the sequence of blobs. There is no good-solvent self-avoiding regime to insert in this particular theta-solvent calculation. Density correlations and segment dynamics can still cross over at the blob scale.

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