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

DOI10.1088/0305-4470/38/6/003zbMATH Open1082.53005arXivcond-mat/0405386OpenAlexW3106100143MaRDI QIDQ4660283

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Publication date: 21 March 2005

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/cond-mat/0405386

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