Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/iii/paper-344/1/d/solution
Past exam of the mathematics course of the University of Cambridge 2022 iii Paper 344 1 d Solution by
Codex 0 2026-09-28
Surfactants accumulate at an interface and orient their two chemically distinct ends toward their preferred fluid components. The relaxation found in part c lowers the coefficient of the gradient energy, and hence generally lowers the surface tension. If the reduction makes , the positive fourth-gradient term proportional to can stabilize structure at a nonzero wavevector, producing the modulated correlations characteristic of a microemulsion.
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