A pr 2 00 0 Effect of Thermal Undulations on the Bending Elasticity and Spontaneous Curvature of Fluid Membranes

@inproceedings{Pinnow2008AP2,
  title={A pr 2 00 0 Effect of Thermal Undulations on the Bending Elasticity and Spontaneous Curvature of Fluid Membranes},
  author={H. A. Pinnow and Wijnand Helfrich},
  year={2008}
}
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… CONTINUE READING
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Showing 1-6 of 6 references

Derivative Expansion of One-Loop Effective Energy of Stiff Membranes with Tension Berlin

  • M.E.S. Borelli, H. Kleinert, A.M.J. Schakel
  • 1998
1 Excerpt

Introductory Differential Geometry for Physicists

  • A. Visconti
  • World Scientific
  • 1989
1 Excerpt

Functional Measures of Membrane Fluctuations, Berlin preprint (1986) and Ami S

  • S. Ami, H. Kleinert
  • Kleinert H., Phys. Lett. A
  • 1987
1 Excerpt

Advances in Chemical Physics XXII, edited by I.Prigogine, S.A

  • K. F. Freed
  • 1972
1 Excerpt

Functional Measures of Membrane Fluctuations , Berlin preprint ( 1986 ) and

  • S. Ami, H. Kleinert

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