Beltrami vector fields with an icosahedral symmetry

JOURNAL OF GEOMETRY AND PHYSICS

卷:153

Article

Alkauskas, Giedrius¹ 

[1] Vilnius Univ, Inst Comp Sci, Naugarduko 24, LT-03225 Vilnius, Lithuania

关键词: Beltrami vector field;    Force-free magnetic field;    Icosahedral symmetry;    Dynamic system with symmetries;    Irreducible representations;    Helmholtz equation;   

DOI  :  10.1016/j.geomphys.2020.103655

来源: Elsevier

【 摘 要 】

A vector field is called a Beltrami vector field, if B x (del x B) = 0. In this paper we construct two unique Beltrami vector fields J and Y, such that del x J = J,del x Y= Y and such that both have an orientation-preserving icosahedral symmetry. Both of them have an additional symmetry with respect to a non-trivial automorphism of the number field Q(root 5 ). (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free