Isotropic polynomial invariants of Hall tensor |
| |
Authors: | Jinjie Liu Weiyang Ding Liqun Qi Wennan Zou |
| |
Institution: | 1. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China;2. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China;3. Institute for Advanced Study, Nanchang University, Nanchang 330031, China |
| |
Abstract: | The Hall tensor emerges from the study of the Hall effect, an important magnetic effect observed in electric conductors and semiconductors. The Hall tensor is third-order and three-dimensional, whose first two indices are skew-symmetric. This paper investigates the isotropic polynomial invariants of the Hall tensor by connecting it with a second-order tensor via the third-order Levi-Civita tensor. A minimal isotropic integrity basis with 10 invariants for the Hall tensor is proposed. Furthermore, it is proved that this minimal integrity basis is also an irreducible isotropic function basis of the Hall tensor. |
| |
Keywords: | vibration nonlinear differential periodic solution Schauder’sprinciple characteristic equation results by computer isotropic polynomial invariant irreducibility function basis integrity basis Hall tensor |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |