Bending tensions and the bending rigidity of fluid membranes

Stability of dipolar fluid membranes

We determine the electrostatic contribution to the elastic bending moduli of an insulating fluid membrane composed of either permanent, or field induced dipoles oriented along the normal directors of the surface. Using Debye-Hfickel screening theory, we show that in contrast to the uniformly charged membrane the bending rigidity becomes softened by the electrostatic interaction.

The conformation of fluid membranes: Monte Carlo simulations.

The conformation and scaling properties of self-avoiding fluid membranes with an extrinsic bending rigidity kappa were studied with the use of Monte Carlo methods. For kappa = 0, the results are consistent with branched polymer behavior at large length scales. There is a smooth crossover from a crumpled to an extended state with increasing kappa, with a peak in the specific heat when the persis...

Applying Fuzzy Logic Model for Bending Rigidity Evaluation of Woven Fabrics

Estimation of the bending rigidity and spontaneous curvature of fluid membranes in simulations.

Several numerical methods for measuring the bending rigidity and the spontaneous curvature of fluid membranes are studied using two types of meshless membrane models. The bending rigidity is estimated from the thermal undulations of planar and tubular membranes and the axial force of tubular membranes. We found a large dependence of its estimate value from the thermal undulation analysis on the...

Statistical mechanics of membranes: freezing, undulations, and topology fluctuations

Membranes are two-dimensional sheets of molecules which are embedded and fluctuate in three-dimensional space. The shape and out-of-plane fluctuations of tensionless membranes are controlled by their bending rigidity. Due to their out-of-plane fluctuations, flexible membranes exhibit very different behaviour to flat two-dimensional systems. We discuss three properties of membranes: (i) the reno...