Constants of motion in a minimum-B mirror magnetic field

Journal Article · Mon Aug 01 04:00:00 EDT 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.72.026408· OSTI ID:20706330

Aagren, O; Savenko, N ^[1]; Moiseenko, V ^[2]

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1. Uppsala University, Angstroem Laboratory, Division of Electricity and Lightning Research, Box 534, SE-751 21 Uppsala (Sweden)
2. Institute of Plasma Physics, National Science Center, Kharkiv Institute of Physics and Technology, Akademichna st. 1, 61108 Kharkiv (Ukraine)

A complete description of the particle motion in a three-dimensional marginal minimum-B mirror field is obtained, including two new constants of motion. The energy and the two Clebsch coordinates of the gyrocenter motion are constants of motion, and the magnetic moment is an adiabatic invariant. The invariance of the gyrocenter Clebsch coordinates implies that each gyrocenter bounces back and forth on a single magnetic field line. Complete solutions of the Vlasov equation can be constructed in the equilibrium field. A small gyroradius expansion of the Clebsch coordinate invariants splits the distribution function into a gyroaveraged part and a new gyro-oscillating part that gives rise to perpendicular plasma current. Locally omnigenous Vlasov equilibria to the first order in the plasma {beta} can be constructed by including the diamagnetic drift. More than three time-independent invariants are required to obtain the general solution of the stationary Vlasov equation.

• OSTI ID: 20706330
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 72; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
COORDINATES
DISTRIBUTION FUNCTIONS
MAGNETIC FIELDS
MAGNETIC MIRRORS
MAGNETIC MOMENTS
MAGNETOHYDRODYNAMICS
MATHEMATICAL SOLUTIONS
PLASMA
THREE-DIMENSIONAL CALCULATIONS