Approximate modeling of spherical membranes

被引:86
作者
Koskinen, Pekka [1 ]
Kit, Oleg O. [1 ]
机构
[1] Univ Jyvaskyla, Dept Phys, Nanosci Ctr, Jyvaskyla 40014, Finland
基金
芬兰科学院;
关键词
SUSPENDED GRAPHENE; DYNAMICS;
D O I
10.1103/PhysRevB.82.235420
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Spherical symmetry is ubiquitous in nature. It is therefore unfortunate that simulation of spherical systems is so hard and require complete spheres with millions of interacting particles. Here, we introduce a method to model spherical systems using revised periodic boundary conditions adapted to spherical symmetry. Method reduces computational costs by orders of magnitude, and is applicable for both solid and liquid membranes, provided the curvature is sufficiently small. We demonstrate the method by calculating the bending and Gaussian curvature moduli of single-layer and multilayer graphene. The method works with any interaction (ab initio, classical interactions), with any approach (molecular dynamics, Monte Carlo), and with applications ranging from science to engineering, from liquid to solid membranes, from bubbles to balloons.
引用
收藏
页数:5
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