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Related papers: A Phase-Field Model for Vesicle Membranes Incorpor…

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We develop a phase-field model for evaporation from a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases…

Analysis of PDEs · Mathematics 2024-07-26 Tufan Ghosh , Carina Bringedal , Christian Rohde , Rainer Helmig

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

We study the phase behavior of multicomponent lipid bilayer vesicles that can exhibit intriguing morphological patterns and lateral phase separation. We use a modified Landau-Ginzburg model capable of describing spatially uniform phases,…

Soft Condensed Matter · Physics 2018-06-22 Yongtian Luo , Lutz Maibaum

Lipid vesicles are known to undergo complex conformational transitions, but it remains challenging to systematically characterize non-equilibrium membrane shape dynamics. Here, we report the direct observation of lipid vesicle relaxation…

Soft Condensed Matter · Physics 2020-07-15 Dinesh Kumar , Channing M. Richter , Charles M. Schroeder

Phase-contrast microscopy is used to monitor the shapes of micron-scale fluid-phase phospholipid-bilayer vesicles in aqueous solution. At fixed temperature, each vesicle undergoes thermal shape fluctuations. We are able experimentally to…

Soft Condensed Matter · Physics 2016-08-15 H. -G. Döbereiner , E. Evans , M. Kraus , U. Seifert , M. Wortis

Unstructured meshes are among the most versatile approaches for capturing non-canonical geometries in fluid dynamics simulations. Despite this, most high-fidelity first-principles phase-change models are developed and applied on structured…

Computational Physics · Physics 2026-04-17 Jan Kren , Bojan Ničeno , Yohei Sato

Large-scale 3D martensitic microstructure evolution problems are studied using a finite-element discretization of a finite-strain phase-field model. The model admits an arbitrary crystallography of transformation and arbitrary elastic…

Computational Physics · Physics 2021-02-19 K. Tůma , M. Rezaee-Hajidehi , J. Hron , P. E. Farrell , S. Stupkiewicz

Phase-field models have proven indispensable for deciphering the microstructure complexities inherent in multicomponent systems. The confluence of varying phase molar volumes presents unique challenges. Understanding the impact of molar…

Materials Science · Physics 2025-03-25 Chengyin Wu , Yanzhou Ji

Despite their significance in biology and materials science, the dynamics of multicomponent vesicles under shear flow remain poorly understood because of their nonlinear and strongly coupled nature, especially regarding the role of membrane…

Soft Condensed Matter · Physics 2025-09-11 Shuqi Tang , Steven M. Wise , John Lowengrub , Zhenlin Guo

We present a meshless numerical method for simulating the dynamics of axisymmetric vesicles in a viscous medium. Key innovations include: (1) adaptive reparameterization based on local length scales, reducing the number of required…

Computational Physics · Physics 2026-04-17 M. A. Shishkin

Directional solidification of water-based solutions has emerged as a versatile technique for templating hierarchical porous materials. However, the underlying mechanisms of pattern formation remain incompletely understood. In this work, we…

Materials Science · Physics 2026-03-20 Kaihua Ji , Alain Karma

A small amplitude perturbation analysis is developed to describe the effect of a uniform electric field on the dynamics of a lipid bilayer vesicle in a simple shear flow. All media are treated as leaky dielectrics and fluid motion is…

Fluid Dynamics · Physics 2015-05-20 Jonathan T. Schwalbe , Petia M. Vlahovska , Michael J. Miksis

We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations with bending forces. We derive this model using the…

Numerical Analysis · Mathematics 2023-08-03 Elena Bachini , Veit Krause , Ingo Nitschke , Axel Voigt

The phase field model can accurately simulate the evolution of microstructures with complex morphologies, and it has been widely used for cell modeling in the last two decades. However, compared to other cellular models such as the…

Biological Physics · Physics 2022-06-13 Xiangyu Kuang , Guoye Guan , Chao Tang , Lei Zhang

Particle-stabilised emulsions are a cornerstone of soft matter science due to their broad application and fundamental relevance. Computer simulations provide key insights into the formation and behaviour of these emulsions, yet current…

Soft Condensed Matter · Physics 2026-02-19 Elisabeth C. Eij , Joost de Graaf , Martin F. Haase , Jesse M. Steenhoff

We present a stochastic phase-field model for multicomponent lipid bilayers that explicitly accounts for the quasi-two-dimensional hydrodynamic environment unique to a thin fluid membrane immersed in aqueous solution. Dynamics over a wide…

Soft Condensed Matter · Physics 2011-05-26 Brian A. Camley , Frank L. H. Brown

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

Fluid Dynamics · Physics 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

We consider problems of dynamic viscoelasticity taking into account the coupling of elastic and thermal fields. Efficient approximate models are developed and computational results on thermomechanical behaviour of shape-memory-alloy…

Numerical Analysis · Mathematics 2025-10-20 R. V. N. Melnik , A. J. Roberts

In biology, cells undergo deformations under the action of flow caused by the fluid surrounding them. These flows lead to shape changes and instabilities that have been explored in detail for single component vesicles. However, cell…

Fluid Dynamics · Physics 2025-10-15 Anirudh Venkatesh , Vivek Narsimhan

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin