Open AccessObtaining and stability analysis of spherical topological vesicles with complex configurations
Author(s) -
Xiaohua Zhou,
Shaoguang Zhang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.5568
Subject(s) - hessian matrix , vesicle , physics , eigenvalues and eigenvectors , oblate spheroid , simple (philosophy) , rotational symmetry , symmetry (geometry) , surface (topology) , stability (learning theory) , topology (electrical circuits) , classical mechanics , geometry , chemistry , mathematics , computer science , quantum mechanics , combinatorics , mechanics , biochemistry , membrane , philosophy , epistemology , machine learning
Through building some initial shapes which are similar to target shapes in Surface Evolver, after a long time of evolvement, we obtain the starfish vesicles with D2h and D3h symmetry, which are supported by experiment. Through tracing the eigenvalues of Hessian matrix of different shapes, we find that between the oblate and the star-fish vesicles, and between the oblate and prolate vesicles, there are two discontinuous phase transformation, and the biconcave triangular shapes and the biconcave elliptic shapes are usually unstable in the SC model.