关于波纹石墨烯片的等温几何
数学物理
2014-12-23 v7 math.MP
摘要
提出了描述波纹石墨烯片的变分几何。这些片的等温热力学性质由二维 Weyl 空间描述。 formulated 了耦合 Weyl 几何与石墨烯片温度等温分布的方程。该材料空间在三维正交构型点空间中被观察为正则曲面，这些曲面 endowed 有满足等温热状态方程的热状态矢量场。这使得可以引入不可展石墨烯片的非拓扑无量纲热形状参数。讨论了由热状态矢量场生成的线汇的性质。
引用
@article{arxiv.1312.4711,
title = {On the isothermal geometry of corrugated graphene sheets},
author = {Andrzej Trzesowski},
journal= {arXiv preprint arXiv:1312.4711},
year = {2014}
}
备注
42 pages. Keywords: variational geometry, Weyl space, regular surface, orthogonal space,material space, configurational space, Gauss curvature, mean curvature, isometric embedding, distortion, graphene, graphene sheet, corrugations, curvature effect, shape effect, isothermal conditions, temperature, thermal state vector, non-topological shape parameter, internal time