1973/05/01 by A. Rasskazov, A. O. Rasskazov, Roman Chertovskih +8
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Classical mechanics #Dynamo #Dynamo theory #Engineering #Environmental science #Geomagnetism and Paleomagnetism Studies #Graphite, nuclear technology, radiation studies #Helicity #Magnetic diffusivity #Magnetic field #Magnetic helicity #Mechanics #Nuclear engineering #Nuclear reactor #Nuclear reactor physics and engineering #Physics #Power (physics) #Quantum mechanics #RBMK #Solar and Space Plasma Dynamics #Solenoidal vector field #Thermodynamics #Vector field #math.AP #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.97.043201
published as Phys. Rev. E 97, 043201 (2018) · 37 pages, 11 figures, 54 references
openalex publication_date 1973/05/01 · openalex created_date 2016/06/24 · arxiv created 2018/04/05 · arxiv updated 2018/04/06 · openalex updated_date 2026/06/23
We introduce six families of three-dimensional space-periodic steady solenoidal flows, whose kinetic helicity density is zero at any point. Four families are analytically defined. Flows in four families have zero helicity spectrum. Sample flows from five families are used to demonstrate numerically that neither zero kinetic helicity density nor zero helicity spectrum prohibit generation of large-scale magnetic field by the two most prominent dynamo mechanisms: the magnetic α-effect and negative eddy diffusivity. Our computations also attest that such flows often generate small-scale field for sufficiently small magnetic molecular diffusivity. These findings indicate that kinetic helicity and helicity spectrum are not the quantities controlling the dynamo properties of a flow regardless of whether scale separation is present or not.