Zhang, SG , Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China.
部门归属:
Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要:
The general solution for cylindrical vesicles is given under the spontaneous curvature model. Detailed analysis shows that shapes without self-intersections are polygonal shapes with n-fold symmetry (n greater than or equal to 2). Instability analysis of circular cylinder shows that just as the circular cylinder becomes unstable with respect to the n-mode deformation, polygonal solution with n-fold symmetry begins to appear. Our solution are coincident with the previous numerical calculations. Our results is also valid for various boundary value problems.
Zhang, SG. Instability of circular cylinders and polygonal solutions for cylindrical vesicles[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,1999,68(11):3603-3607.
