Open AccessTopological Bounds from Label Translation Symmetry of Non-Barotropic MHD
Author(s) -
Asher Yahalom
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1416/1/012041
Subject(s) - noether's theorem , barotropic fluid , diffeomorphism , symmetry (geometry) , magnetohydrodynamics , translation (biology) , action (physics) , physics , symmetry group , theoretical physics , conservation law , homogeneous space , topology (electrical circuits) , mathematical physics , mathematics , classical mechanics , pure mathematics , magnetic field , lagrangian , quantum mechanics , geometry , combinatorics , mechanics , biology , biochemistry , messenger rna , gene
The theorem of Noether dictates that for every continuous symmetry group of an Action the system must possess a conservation law. In this paper we discuss some subgroups of Arnold’s labelling symmetry diffeomorphism related to non-barotropic magnetohydrodynamics (MHD) and the conservations laws associated with them. Furthermore, we will study the dynamical bounds resulting from the topological Noether currents associated with label translation symmetry groups.