2003/09/30 by Mark J. Bowick, Mark Bowick, David R. Nelson +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Lipid Membrane Structure and Behavior #Liquid Crystal Research Advancements #Supramolecular Self-Assembly in Materials #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.69.041102
published as PRE 69 (2004) 041102 · 12 pages, 15 eps figures
arxiv created 2003/09/30 · openalex publication_date 2004/04/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Toroidal templates such as vesicles with hexatic bond orientational order are discussed. The total energy including disclination charges is explicitly computed for hexatic order embedded in a toroidal geometry. Related results apply for tilt or nematic order on the torus in the one Frank constant approximation. Although there is no topological necessity for defects in the ground state, we find that excess disclination defects are nevertheless energetically favored for fat torii or moderate vesicle sizes. Some experimental consequences are discussed.