Effect of Thermal Undulations on the Bending Elasticity and Spontaneous Curvature of Fluid Membranes

Details Effect of Thermal Undulations on the Bending Elasticity and Spontaneous Curvature of Fluid Membranes Effect of Thermal Undulations on the Bending Elasticity and Spontaneous Curvature of Fluid Membranes

2000-04-28

arxiv.org/abs/cond-mat/0004488v1

Physics

Condensed Matter

Statistical Mechanics

26 pages, 2 figures, to appear in EPJ E

Scientific paper

10.1007/s101890070028

We amplify previous arguments why mean curvature should be used as measure of integration in calculating the effective bending rigidity of fluid membranes subjected to a weak background curvature. The stiffening of the membrane by its fluctuations, recently derived for spherical shapes, is recovered for cylindrical curvature. Employing curvilinear coordinates, we then discuss stiffening for arbitrary shapes, confirm that the elastic modulus of Gaussian curvature is not renormalized in the presence of fluctuations, and show for the first time that any spontaneous curvature also remains unchanged.

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