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

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dc.creatorSantiago, J. A.
dc.creatorZamora, A.
dc.date2004-05-18
dc.date2005-01-26
dc.date.accessioned2026-07-07T02:58:12Z
dc.date.available2026-07-07T02:58:12Z
dc.descriptionUsing 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0405386
dc.identifierhttp://arxiv.org/abs/cond-mat/0405386
dc.identifierJ. Phys. A: Math. Gen. 38 (2005) 1225-1233
dc.identifierdoi:10.1088/0305-4470/38/6/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23987
dc.subjectSoft Condensed Matter
dc.titleThe one-loop elastic coefficients for the Helfrich membrane in higher dimensions
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