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Magnetic fields

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Full-Text Articles in Physics

Ion Parallel Closures, Jeong-Young Ji, Hankyu Q. Lee, Eric D. Held Dec 2017

Ion Parallel Closures, Jeong-Young Ji, Hankyu Q. Lee, Eric D. Held

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Ion parallel closures are obtained for arbitrary atomic weights and charge numbers. For arbitrary collisionality, the heat flow and viscosity are expressed as kernel-weighted integrals of the temperature and flow-velocity gradients. Simple, fitted kernel functions are obtained from the 1600 parallel moment solution and the asymptotic behavior in the collisionless limit. The fitted kernel parameters are tabulated for various temperature ratios of ions to electrons. The closures can be used conveniently without solving the kinetic equation or higher order moment equations in closing ion fluid equations.


Interactions Between Uniformly Magnetized Spheres, Boyd F. Edwards, D. Mark Riffe, Jeong-Young Ji, William A. Booth Feb 2017

Interactions Between Uniformly Magnetized Spheres, Boyd F. Edwards, D. Mark Riffe, Jeong-Young Ji, William A. Booth

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We use simple symmetry arguments suitable for undergraduate students to demonstrate that the magnetic energy, forces, and torques between two uniformly magnetized spheres are identical to those between two point magnetic dipoles. These arguments exploit the equivalence of the field outside of a uniformly magnetized sphere with that of a point magnetic dipole, and pertain to spheres of arbitrary sizes, positions, and magnetizations. The point dipole/sphere equivalence for magnetic interactions may be useful in teaching and research, where dipolar approximations for uniformly magnetized spheres can now be considered to be exact. The work was originally motivated by interest in the …


Electron Heat Flow Due To Magnetic Field Fluctuations, Jeong-Young Ji, Gunyoung Park, Sung Sik Kim, Eric D. Held Jan 2016

Electron Heat Flow Due To Magnetic Field Fluctuations, Jeong-Young Ji, Gunyoung Park, Sung Sik Kim, Eric D. Held

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Radial heat transport induced by magnetic field line fluctuations is obtained from the integral parallel heat flow closure for arbitrary collisionality. The parallel heat flow and its radial component are computed for a single harmonic sinusoidal field line perturbation. In the collisional and collisionless limits, averaging the heat flow over an unperturbed surface yields Rechester-Rosenbluth like formulae with quantitative factors. The single harmonic result is generalized to multiple harmonics given a spectrum of small magnetic perturbations. In the collisionless limit, the heat and particle transport relations are also derived. © 2016 IOP Publishing Ltd.