2007/03/02 by Garcia de Andrade, de Andrade, Garcia
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #General Relativity and Quantum Cosmology (gr-qc) #Magnetic confinement fusion research #Plasma Physics (physics.plasm-ph) #Quantum chaos and dynamical systems #gr-qc #math.DG #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.physics/0703014
Departamento de Fisica Teorica-IF-UERJ-Rio-Brasil
arxiv created 2007/03/02 · openalex publication_date 2007/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Plasma toroidal metric singularities in helical devices and tokamaks, giving rise to magnetic surfaces inside the plasma devices are investigated in two cases. In the first we consider the case of a rotational plasma on an helical device with circular cross-section and dissipation. In this case singularities are shown to place a Ricci scalar curvature bound on the radius of the surface where the Ricci scalar is the contraction of the constant Riemannian curvature tensor of magnetic surfaces. An upper bound on the initial magnetic field in terms of the Ricci scalar is obtained. This last bound may be useful in the engineering construction of plasma devices in laboratories. The normal poloidal drift velocity is also computed. In the second case a toroidal metric is used to show that there is a relation between singularities and the type of tearing instabilities considered in the tokamak. Besides, in this case Ricci collineations and Killing symmetries are computed.The pressure is computed by applying these constraints to the pressure equations in tokamaks.