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Effect of magnetization and magnetic field variation on stationary\n axisymmetric equilibrium

2008/06/28 by Robert W. Johnson, Johnson, Robert W., Robert Johnson
Engineering · Physics and Astronomy · #Astrophysics and Star Formation Studies #Classical mechanics #Condensed matter physics #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Magnetic confinement fusion research #Magnetic field #Magnetic moment #Magnetization #Physics #Plasma Diagnostics and Applications #Plasma Physics (physics.plasm-ph) #Quantum mechanics #Solar and Space Plasma Dynamics #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.0806.4696

published in arXiv (Cornell University) (Cornell University) · Superseded by arXiv:0806.4698

openalex publication_date 2008/06/28 · arxiv created 2010/04/13 · arxiv updated 2010/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The inclusion of plasma magnetization in the equations of stationary\nequilibrium is derived, and its effect on the determination of axisymmetric\nequilibrium calculated. A factor of 2 on the pressure gradient arises in the\nequilibrium equation from the force felt by the dipole moment density. The\nalgebraic and differential equation formulations are compared both with and\nwithout consideration of magnetization, revealing the effects of both\nmagnetization and magnetic field variation on the equilibrium, which become\nmore pronounced for high pressures in a weak external field. The equivalence of\nthe magnetized equilibrium equation with the standard equilibrium equation in\nthe limit of vanishing magnetization is demonstrated.\n

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