2020/09/30 by Hiroshi Noguchi
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Bending #Bending moment #Bending stiffness #Block Copolymer Self-Assembly #Chemistry #Composite material #Curvature #Flexural rigidity #Geometry #Lipid Membrane Structure and Behavior #Materials science #Mathematics #Mechanics #Membrane #Modulus #Nanopore and Nanochannel Transport Studies #Physics #Saddle #Thermodynamics #cond-mat.soft #physics.bio-ph
paper · pdf · doi:10.1103/physreve.102.053315
published as Phys. Rev. E 102, 053315 (2020) · 11 pages, 8 figures
arxiv created 2020/11/04 · openalex publication_date 2020/11/23 · arxiv updated 2020/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A method to calculate the bending rigidity κ, saddle-splay modulus κ[over ¯], and spontaneous curvature C0 of a fluid membrane is proposed. Virtual work for the bending deformations into cylindrical and spherical shapes is calculated for a flat membrane. This method does not require a force decomposition, unlike the existing stress-profile method. The first derivative of the deformation gives κC0 and is a discrete form of the first moment of the stress profile. The second derivatives give κ and κ[over ¯] and include the variance terms of the first derivatives, which are not accounted for in the stress-profile method. This method is examined for a solvent-free meshless membrane model and a dissipative-particle-dynamics two-bead amphiphilic molecular model. It is concluded that κ and κ[over ¯] of a thin membrane can be accurately calculated, whereas for a thick membrane or one with an explicit solvent, a further extension to include the volume-fluctuation effects is required for an accurate estimation. The amplitude of the volume-fluctuation effects can be evaluated using the parameter dependence in the present method.