The one-loop elastic coefficients for the Helfrich membrane in higher dimensions

Details The one-loop elastic coefficients for the Helfrich membrane in higher dimensions The one-loop elastic coefficients for the Helfrich membrane in higher dimensions

2004-05-18

arxiv.org/abs/cond-mat/0405386v2

J. Phys. A: Math. Gen. 38 (2005) 1225-1233

Physics

Condensed Matter

Soft Condensed Matter

9 pages

Scientific paper

10.1088/0305-4470/38/6/003

Using a covariant geometric approach we obtain the effective bending couplings for a 2-dimensional rigid membrane embedded into a $(2+D)$-dimensional Euclidean space. The Hamiltonian for the membrane has three terms: The first one is quadratic in its mean extrinsic curvature. The second one is proportional to its Gaussian curvature, and the last one is proportional to its area. The results we obtain are in agreement with those finding that thermal fluctuations soften the 2-dimensional membrane embedded into a 3-dimensional Euclidean space.

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