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We numerically check that the surface tension of membranes is independent of the shape of surface boundary. The surface tension is calculated by means of the Monte Carlo simulation technique on two types of cylinders made of rubans of size…

Soft Condensed Matter · Physics 2016-02-17 Hiroshi Koibuchi

We study the elastic response of bilayer membranes with fixed projected area to both stretching and shape deformations. A surface tension is associated to each of these deformations. By using model amphiphilic membranes and computer…

Soft Condensed Matter · Physics 2009-11-11 Alberto Imparato

Membranes are an important subject of study in physical chemistry and biology. They can be considered as material surfaces with a surface energy depending on the curvature tensor. Usually, mathematical models developed in the literature…

Classical Physics · Physics 2019-08-14 Sergey Gavrilyuk , Henri Gouin

It is widely appreciated that surface tension can dominate the behavior of liquids at small scales. Solids also have surface stresses of a similar magnitude, but they are usually overlooked. However, recent work has shown that these can…

Soft Condensed Matter · Physics 2017-05-24 Robert W. Style , Anand Jagota , C. -Y. Hui , Eric R. Dufresne

Surface stress, also known as surface tension, is a fundamental material property of any interface. However, measurements of solid surface stress in traditional engineering materials, such as metals and oxides, have proven to be very…

A Monte Carlo (MC) study is performed to evaluate the surface tension $\gamma $ of spherical membranes that may be regarded as the models of the lipid layers. We use the canonical surface model defined on the self-avoiding triangulated…

Soft Condensed Matter · Physics 2016-01-28 Hiroshi Koibuchi , Andrey Shobukhov , Hideo Sekino

Recent experiments have shown that surface stresses in soft materials can have a significant strain-dependence. Here we explore the implications of this surface elasticity to show how, and when, we expect it to arise. We develop the…

Soft Condensed Matter · Physics 2020-05-28 Robert W. Style , Qin Xu

We study the dependence of the surface tension of a fluid interface on the density profile of a third suspended phase. By means of an approximated model for the binary mixture and of a perturbative approach we derive close formulas for the…

Statistical Mechanics · Physics 2021-02-03 Alessio Squarcini , Paolo Malgaretti

Consider a lipid membrane with a free exposed edge. The energy describing this membrane is quadratic in the extrinsic curvature of its geometry; that describing the edge is proportional to its length. In this note we determine the boundary…

Soft Condensed Matter · Physics 2009-11-07 R. Capovilla , J. Guven , J. A. Santiago

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

Soft Condensed Matter · Physics 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

Adsorption of proteins onto membranes can alter the local membrane curvature. This phenomenon has been observed in biological processes such as endocytosis, tubulation and vesiculation. However, it is not clear how the local surface…

Cell Behavior · Quantitative Biology 2016-04-28 Padmini Rangamani , Kranthi Kiran Mandadapu , George Oster

Cell membrane tension directly influences various cellular functions. In this study, we developed a method to estimate surface tension from time-series data. We obtained the curvature-velocity relationship from time-series of binarized cell…

Cell Behavior · Quantitative Biology 2025-04-22 Hiroki Nishitani , Takashi Miura

We derive the membrane elastic stress and torque tensors using the standard Helfrich model and a direct variational method in which the edges of a membrane are infinitesimally translated and rotated. We give simple expressions of the stress…

Soft Condensed Matter · Physics 2007-05-23 Jean-Baptiste Fournier

Solid sheets and fluid membranes exhibit buckling under lateral compression. Here, it is revealed that fluid membranes have anisotropic buckling surface tension contrary to solid sheets. Surprisingly, the surface tension perpendicular to…

Soft Condensed Matter · Physics 2011-07-01 Hiroshi Noguchi

Simulating protein-membrane interactions is an important and dynamic area of research. A proper definition of electrostatic forces on membrane surfaces is necessary for developing electromechanical models of protein-membrane interactions.…

Analysis of PDEs · Mathematics 2013-09-24 Michael Mikucki , Y. C. Zhou

We study the effect of surface tension of the phase boundary in the dynamics of an expanding fluid. A fluid at local thermal equilibrium, but has a slowly varying temperature profile, like the plasma formed in heavy ion collisions, will…

Nuclear Theory · Physics 2022-01-11 Sanatan Digal , P. S. Saumia

We consider a one-dimensional elastic membrane, which is pushed by growing filaments. The filaments tend to grow by creating local protrusions in the membrane and this process has surface energy and bending energy costs. Although it is…

Biological Physics · Physics 2019-08-05 Raj Kumar Sadhu , Sakuntala Chatterjee

We derive the expression of the stress tensor for one and two-component lipid membranes with density and composition inhomogeneities. We first express the membrane stress tensor as a function of the free-energy density by means of the…

Soft Condensed Matter · Physics 2015-03-17 Anne-Florence Bitbol , Luca Peliti , Jean-Baptiste Fournier

We study the axisymmetric impact of a rigid sphere onto an elastic membrane theoretically and experimentally. We derive governing equations from first principles and impose natural kinematic and geometric constraints for the coupled motion…

Classical Physics · Physics 2023-01-19 Elvis A. Agüero , Luke Alventosa , Daniel M. Harris , Carlos A. Galeano-Rios
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