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The aim of this paper is to propose a new numerical model to simulate 2D vesicles interacting with a newtonian fluid. The inextensible membrane is modeled by a chain of circular rigid particles which are maintained in cohesion by using two…

Mathematical Physics · Physics 2012-02-15 Mourad Ismail , Aline Lefebvre-Lepot

The entropy of a polymer confined in a curved surface and the elastic free energy of a membrane consisting of polymers are obtained by scaling analysis. It is found that the elastic free energy of the membrane has the form of the in-plane…

Soft Condensed Matter · Physics 2007-05-23 Z. C. Tu , L. Q. Ge , J. B. Li , Z. C. Ou-Yang

Biological, physical, medical, and numerical applications involving membrane problems on different scales are numerous. We propose an extension of the standard Turing theory to the case of two domains separated by a permeable membrane. To…

Analysis of PDEs · Mathematics 2022-03-04 Giorgia Ciavolella

Living systems are chiral on multiple scales, from constituent biopolymers to large scale morphology, and their active mechanics is both driven by chiral components and serves to generate chiral morphologies. We describe the mechanics of…

Soft Condensed Matter · Physics 2023-07-03 Sami C. Al-Izzi , Gareth P. Alexander

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

Direct numerical simulation of open channel flow over a geometrically rough wall has been performed at a bulk Reynolds number of approximately 2900. The wall consisted of a layer of spheres in a square arrangement. Two cases have been…

Fluid Dynamics · Physics 2013-01-28 Clemens Chan-Braun , Manuel García-Villalba , Markus Uhlmann

The dynamics of active colloids is very sensitive to the presence of boundaries and interfaces which therefore can be used to control their motion. Here we analyze the dynamics of active colloids adsorbed at a fluid-fluid interface. By…

Soft Condensed Matter · Physics 2019-11-18 T. Peter , P. Malgaretti , N. Rivas , A. Scagliarini , J. Harting , S. Dietrich

Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined using two-scale asymptotic analysis. At the scale where the…

Analysis of PDEs · Mathematics 2018-04-24 Emilio N. M. Cirillo , Ida de Bonis , Adrian Muntean , Omar Richardson

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

Transport of molecules across membrane channels is investigated theoretically using exactly solvable one-dimensional discrete-state stochastic models. An interaction between molecules and membrane pores is modeled via a set of binding sites…

Soft Condensed Matter · Physics 2009-11-13 Anatoly B. Kolomeisky , Stanislav Kotsev

A self-consistent theory is proposed for the general problem of interacting undulating fluid membranes subject to the constraint that they do not interpenetrate. We implement the steric constraint via an exact functional integral…

Soft Condensed Matter · Physics 2016-06-17 Bing-Sui Lu , Rudolf Podgornik

We consider a multiscale approach based on immersed methods for the efficient computational modeling of tissues composed of an elastic matrix (in two or three-dimensions) and a thin vascular structure (treated as a co-dimension two…

Numerical Analysis · Mathematics 2021-11-18 Luca Heltai , Alfonso Caiazzo

We use a simple and efficient computer model to investigate the physical properties of bilayer membranes. The amphiphilic molecules are modeled as short rigid trimers with finite range pair interactions between them. The pair potentials…

Soft Condensed Matter · Physics 2009-11-10 Oded Farago

This is paper I of a series of two papers, offering a self-contained analysis of the role of electromagnetic stress-energy-momentum tensors in the classical description of continuous polarizable perfectly insulating media. While…

Classical Physics · Physics 2015-05-18 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

What do the ocean surface and a swaying flag have in common? Both are deformable surfaces exhibiting chaotic motion when exposed to turbulent flows. Whether such motion is primarily driven by flow turbulence or by nonlinear dynamics…

Fluid Dynamics · Physics 2026-05-25 Giulio Foggi Rota , Andrea Mazzino , Marco Edoardo Rosti

This paper focuses on the basic system of a field and a particle in interaction and provides a single, unified derivation of the energy-momentum tensors for both the field and the particle. This derivation contrasts with the usual approach…

Classical Physics · Physics 2019-11-26 Roderick Sutherland

We study closed liquid membranes that segregate into three phases due to differences in the chemical and physical properties of its components. The shape and in-plane membrane arrangement of the phases are coupled through phase-specific…

Soft Condensed Matter · Physics 2012-08-17 Matthew F. Demers , Rastko Sknepnek , Monica Olvera de la Cruz

The interaction of fluid membranes with a scaffold, which can be a planar surface or a more complex structure, is intrinsic to a number of systems - from artificial supported bilayers and vesicles to cellular membranes. In principle, these…

Soft Condensed Matter · Physics 2014-05-07 Daniel Schmidt , Cornelia Monzel , Timo Bihr , Rudolf Merkel , Udo Seifert , Kheya Sengupta , Ana-Sunčana Smith

The lubricated motion of an object near a deformable boundary presents striking subtleties arising from the coupling between the elasticity of the boundary and lubricated flow, including but not limited to the emergence of a lift force…

Soft Condensed Matter · Physics 2025-10-08 Aditya Jha , Yacine Amarouchene , Thomas Salez

Understanding interactions between membranes requires measurements on well-controlled systems close to natural conditions, in which fluctuations play an important role. We have determined, by grazing incidence X-ray scattering, the…

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