2018/07/31 by Francesco Serafin, Mark J. Bowick, Sidney R. Nagel · 4 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Materials Science · Mathematics · Physics and Astronomy · Psychology · #Algorithm #Bioinformatics #Biology #Chemistry #Combinatorics #Common ground #Degeneracy (biology) #Geometry #Ground state #Lipid Membrane Structure and Behavior #Liquid Crystal Research Advancements #Mathematics #Physics #Psychology #Quantum mechanics #Social psychology #State (computer science) #Surfactants and Colloidal Systems #Tetrahedron #Topology (electrical circuits) #Vesicle #cond-mat.soft
paper · pdf · doi:10.1140/epje/i2018-11755-y
published in The European Physical Journal E 41(12), 143 (Springer Science+Business Media) · New figure, extended description of the model in section 2, minor correction in the bibliography
openalex publication_date 2018/12/01 · arxiv created 2018/12/17 · arxiv updated 2018/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Chemical design of block copolymers makes it possible to create polymer vesicles with tunable microscopic structure. Here we focus on a model of a vesicle made of smectic liquid-crystalline block copolymers at zero temperature. The vesicle assumes a faceted tetrahedral shape and the smectic layers arrange in a stack of parallel straight lines with topological defects localized at the vertices. We counted the number of allowed states at T=0. For any fixed shape, we found a two-dimensional countable degeneracy in the smectic pattern depending on the tilt angle between the smectic layers and the edge of the tetrahedral shell. For most values of the tilt angle, the smectic layers contain spiral topological defects. The system can spontaneously break chiral symmetry when the layers organize into spiral patterns, composed of a bound pair of +1/2 disclinations. Finally, we suggest possible applications of tetrahedral smectic vesicles in the context of functionalizing defects and the possible consequences of the spiral structures for the rigidity of the vesicle.