Determining the Gaussian curvature modulus of lipid ... - ESPResSo

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Determining the Gaussian curvature modulus of lipid ... - ESPResSo

Special Remarks on κWhy important and why hard to measureBackgroundHelfrich TheoryRemarksMeasurementsMethodsPatch-closureEq MeasurementsStress ProfileFollowupsAccording to the Gauss-Bonnet theorem,∫∫dA K G = 4π(1 − g) + ds k gthe Gaussian term depends only on the topology and theboundary, which means:If both of them stay unchanged, then the K G term isstrictly irrelevant.In case that ∆g = 1, |∆E| = 4πκ ≃ 200k B T.Now if one wants to measure κ, processes that controlover topology and/or boundary are necessary.

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