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Hard sphere systems are often used to model simple fluids. The configuration spaces of hard spheres in a three-dimensional torus modulo various symmetry groups are comparatively simple, and could provide valuable information about the…

Statistical Mechanics · Physics 2021-11-16 O. B. Ericok , K. Ganesan , J. K. Mason

A phase-field model for dealing with dynamic instabilities in membranes is presented. We use it to study curvature-driven pearling instability in vesicles induced by the anchorage of amphiphilic polymers on the membrane. Within this model,…

Quantitative Methods · Quantitative Biology 2011-11-10 F. Campelo , A. Hernandez-Machado

Using computer simulations we investigate the microscopic structure of the singular director field within a nematic droplet. As a theoretical model for nematic liquid crystals we take hard spherocylinders. To induce an overall topological…

Soft Condensed Matter · Physics 2009-10-31 J. Dzubiella , M. Schmidt , H. Loewen

It is found experimentally that the coexistence region of a vapor-liquid system or a binary mixture is substantially narrowed when the fluid is confined in a aerogel with a high degree of porosity (e.g. of the order of 95% to 99%). A…

Statistical Mechanics · Physics 2007-05-23 Rafael Salazar , Raul Toral , Amitabha Chakrabarti

We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation describing the evolution of phase field and a Cahn-Hilliard…

Numerical Analysis · Mathematics 2022-09-29 Xiaoxia Tang , Shuwang Li , John S. Lowengrub , Steven M. Wise

This study theoretically investigates how anisotropic curved membrane components (CMCs) control vesicle morphology through curvature sensing, nematic alignment, topological defects, and volume constraints. By comparing arc-shaped and…

Soft Condensed Matter · Physics 2025-06-18 Yoav Ravid , Samo Penič , Luka Mesarec , Nir S. Gov , Veronika Kralj-Iglič , Aleš Iglič , Mitja Drab

Dynamics of a single vesicle under shear flow between two parallel plates is studied using two-dimensional lattice-Boltzmann simulations. We first present how we adapted the lattice-Boltzmann method to simulate vesicle dynamics, using an…

Soft Condensed Matter · Physics 2011-09-16 Badr Kaoui , Jens Harting , Chaouqi Misbah

Knotted fields enrich a variety of physical phenomena, ranging from fluid flows, electromagnetic fields, to textures of ordered media. Maxwell's electrostatic equations, whose vacuum solution is mathematically known as a harmonic field,…

Soft Condensed Matter · Physics 2018-04-27 Xiuqing Duan , Zhenwei Yao

Hard spheres confined to narrow quasi-one-dimensional cylindrical channels form perfect helical structures at close packing. Here, we use molecular dynamics simulation to show that the thermodynamics, structure and dynamics of the fluid…

Soft Condensed Matter · Physics 2024-12-17 Mahdi Zarif , Richard K. Bowles

In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect…

Strongly Correlated Electrons · Physics 2012-03-29 Gregory A. Fiete , Victor Chua , Mehdi Kargarian , Rex Lundgren , Andreas Ruegg , Jun Wen , Vladimir Zyuzin

The equations governing the conditions of mechanical equilibrium in fluid membranes subject to bending are revisited thanks to the principle of virtual work. The note proposes systematic tools to obtain the shape equation and the line…

Soft Condensed Matter · Physics 2015-10-19 Henri Gouin

We examine the dependence of a thermodynamic potential of a fluid on the geometry of its container. If motion invariance, continuity, and additivity of the potential are fulfilled, only four morphometric measures are needed to describe…

Soft Condensed Matter · Physics 2016-08-31 P. -M. König , R. Roth , K. R. Mecke

Anisotropic rod-like particles form liquid crystalline phases with varying degrees of orientational and translational order. When confined geometrically, these phases can give rise to topological defects, which can be selected and…

Soft Condensed Matter · Physics 2026-05-29 Gerardo Campos-Villalobos , André F. V. Matias , Ethan I. L. Jull , Lisa Tran , Marjolein Dijkstra

Cellular rearrangements, as primary sources of tissue fluidization, facilitate topological transitions during tissue morphogenesis. We study the role of intrinsic cell properties such as cell polarity and cell-cell adhesion in shaping…

Biological Physics · Physics 2024-03-11 Richard D. J. G. Ho , Stig Ove Bøe , Dag Kristian Dysthe , Luiza Angheluta

Polyhedral vesicles with a large bending modulus of the membrane such as the gel phase lipid membrane were studied using a Brownian dynamics simulation. The vesicles exhibit various polyhedral morphologies such as tetrahedron and cube…

Soft Condensed Matter · Physics 2009-11-07 Hiroshi Noguchi

Multi-component membranes such as ternary mixtures of lipids and cholesterol can exhibit coexistence regions between two liquid phases. When such membranes adhere to a corrugated substrate, the phase separation process strongly depends on…

Soft Condensed Matter · Physics 2009-11-13 Bartosz Rozycki , Thomas R. Weikl , Reinhard Lipowsky

Toroidal vortices in fluid and gas dynamics underpin a broad spectrum of scientific and technological fields, from elementary particle physics to condensed matter systems, and have recently garnered significant attention in optics because…

Symmetry-protected topological phases host gapless modes at their boundary with a featureless environment of the same dimension or a trivial vacuum. In this study, we explore their behavior in a higher-dimensional environment, which itself…

Mesoscale and Nanoscale Physics · Physics 2025-09-23 Subrata Pachhal , Adhip Agarwala

Superfluid phenomena can be explained in terms of the topologies of the order parameter and of the confining vessel. For example, currents in a toroidal vessel can be characterized by a discrete and conserved quantity, the winding number.…

Condensed Matter · Physics 2007-05-23 Th. Busch , J. R. Anglin , W. H. Zurek

We analyse the effects that the impermeability constraint induces on the equilibrium shapes of a three-dimensional vesicle hosting a rigid inclusion. A given alteration of the inclusion and/or vesicle parameters leads to shape modifications…

Soft Condensed Matter · Physics 2009-11-10 Paolo Biscari , Silvia Maria Canevese , Gaetano Napoli