Isotropic polynomial invariants of Hall tensor

Jinjie Liu, Weiyang Ding, Liqun Qi, Wennan Zou

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1845-1856
Number of pages12
JournalApplied Mathematics and Mechanics (English Edition)
Volume39
Issue number12
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

  • function basis
  • Hall tensor
  • integrity basis
  • irreducibility
  • isotropic polynomial invariant
  • O29

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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