Confining a fluid membrane vesicle of toroidal topology in an adhesive hard sphere

7th Maghreb Days of Material Sciences

Bouzar, Lila^1,2 ; Menas, Ferhat^2,3 ; Michael Müller, Martin^4,5

Département de Physique Théorique, Faculté de Physique, Université des Sciences et de la Technologie Houari Boumedienne, BP 32, Al-Alia, Algiers

16111, Algeria^1

Laboratoire de Physique et Chimie Quantique, Universite Mouloud Mammeri, BP 17, Tizi-ouzou

15000, Algeria^2

Département de Physique, École Nationale Préparatoire Aux Études d'Ingéniorat, BP 05 Rouiba, Algiers

16012, Algeria^3

Equipe Biophysstat, ICPMB-FR CNRS 2843, Université de Lorraine, 1 boulevard Arago, Metz

57070, France^4

Institut Charles Sadron, CNRS-UdS, BP 84047, Strasbourg

67034, France^5

关键词: All solutions;    Contact areas;    Degree of confinement;    Equilibrium shape;    Fluid membrane;    Reduced volumes;    Region of contact;    Toroidal topology;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/186/1/012021/pdf
DOI  :  10.1088/1757-899X/186/1/012021

来源: IOP

【 摘 要 】

We discuss how the equilibrium shapes of a confined toroidal fluid membrane vesicle change when an adhesion between membrane and confining sphere is taken into account. The case without adhesion was studied in Ref. [1]. Different types of solution were found and assembled in a phase diagram as a function of area and reduced volume of the membrane. Depending on the degree of confinement the vesicle is either free, in contact along a circle (contact-circle solutions) or on a surface (contact-area solutions). All solutions without adhesion are up-down symmetric. When the container is adhesive, the phase diagram is altered and new kinds of solution without up-down symmetry are found. For increasing values of adhesion the region of contact-circle solutions shrinks until it vanishes completely from the phase diagram.