Guiding center plasma models in three dimensions

Sugiyama, Linda E.
September 2008
Physics of Plasmas;Sep2008, Vol. 15 Issue 9, p092112
Academic Journal
Guiding center plasma models describe the fast charged particle gyration around magnetic field lines by an angle coordinate, defined relative to local orthogonal coordinate axes (e⁁1,e⁁2,b⁁=B/B) at each guiding center location. In three dimensions (3D), unlike uniform straight two-dimensional (2D) fields, geometrical effects make the small gyroradius expansion nonuniform in velocity phase space in first order O(ρi/L). At second order, Hamiltonian and Lagrangian solutions may be undefined even when good magnetic flux surfaces exist; existence requires the magnetic field torsion τ=b⁁·∇×b⁁=0 and τg≡b⁁·(∇e⁁1)·e⁁2=0, unless the magnetic field has a 2D symmetry, such as toroidal axisymmetry. Keeping complete 3D geometrical effects also requires the magnetic vector potential term to appear in the electric field at the same order as the electrostatic potential. These problems express properties of magnetic vector potentials, Lagrangians, and the curvature of manifolds, and have analogies to attempts to connect small scale Lagrangian theories to higher dimensional, large scale ones in the grand unification theories of physics.


Related Articles

  • Induced magnetic-field effects in inductively coupled plasmas. Cohen, Ronald H.; Rognlien, Thomas D. // Physics of Plasmas;May96, Vol. 3 Issue 5, p1839 

    Studies the induced magnetic-field effects in inductively coupled plasmas. Spatial decay of the electric field in inductive plasma sources; Potential required to establish a constant electron density; Reduction in collisionless heating.

  • Discrete symmetries in axisymmetric toroidal plasma confinement. Cohen, R. H.; Ryutov, D. D. // Physics of Plasmas;May2001, Vol. 8 Issue 5, p1451 

    Several discrete symmetry parameters characterizing axisymmetric toroidal plasmas have been introduced. For a device without up-down symmetry such parameters are S[sub 1], related to the handedness of the toroidal current, S[sub 2], related to the direction of the toroidal velocity, and S[sub...

  • Plasma Dynamics of a Single Wire with Closely Coupled Return Current. Mitchell, M. D.; Lebedev, S. V.; Pikuz, S. A.; Shelkovenko, T. A.; Hammer, D. A. // AIP Conference Proceedings;2006, Vol. 808 Issue 1, p99 

    Studies of ablation rates in wire arrays show a strong correlation between ablation rate and global magnetic field. We, therefore, designed experiments using a single wire with a closely placed return current conductor to obtain straightforward measurements of ablation rates in the presence of...

  • Whistler wave propagation in the antenna near and far fields in the Naval Research Laboratory Space Physics Simulation Chamber. Blackwell, David D.; Walker, David N.; Amatucci, William E. // Physics of Plasmas;Jan2010, Vol. 17 Issue 1, p012901 

    In previous papers, early whistler propagation measurements were presented [W. E. Amatucci et al., IEEE Trans. Plasma Sci. 33, 637 (2005)] as well as antenna impedance measurements [D. D. Blackwell et al., Phys. Plasmas 14, 092106 (2007)] performed in the Naval Research Laboratory Space Physics...

  • Comparison Of Photon Kinetic And Slowly Varying Envelope Approximations. Reitsma, A. J. W.; Jaroszynski, D. A. // AIP Conference Proceedings;2004, Vol. 737 Issue 1, p771 

    The results of photon kinetic simulations of the propagation of a short laser pulse in plasma are compared with simulation results for the same pulse from a slowly varying envelope code. The envelope method retains more information about the phase of the electromagnetic field, which makes it...

  • Magnetic Control of a Tokamak Plasma. Albanese, R.; Ambrosino, G.; Crisanti, F. // AIP Conference Proceedings;3/12/2008, Vol. 988 Issue 1, p395 

    The plasma in a tokamak is magnetically confined through electromagnetic fields generated by a set of poloidal field coils, with feedforward nominal voltages or currents based on an approximate plasma model. Therefore, feedback control is necessary. A good magnetic control is essential for...

  • Dynamics of nonlinearly coupled magnetic-field-aligned electromagnetic electron-cyclotron waves near the zero-group-dispersion point in magnetized plasmas. Kourakis, I.; Shukla, P. K.; Morfill, G. E. // Physics of Plasmas;Aug2005, Vol. 12 Issue 8, p082303 

    The nonlinear coupling between two magnetic-field-aligned electromagnetic electron-cyclotron (EMEC) waves in plasmas is considered. Evaluating the ponderomotive coupling between the EMEC waves and quasistationary plasma density perturbations, a pair of coupled nonlinear Schrödinger equations...

  • Theory and simulations of electrostatic field error transport. Dubin, Daniel H. E. // Physics of Plasmas;Jul2008, Vol. 15 Issue 7, p072112 

    Asymmetries in applied electromagnetic fields cause plasma loss (or compression) in stellarators, tokamaks, and non-neutral plasmas. Here, this transport is studied using idealized simulations that follow guiding centers in given fields, neglecting collective effects on the plasma evolution, but...

  • Nonlinear electron magnetohydrodynamic physics. VII. Magnetic loop antenna in a field-free plasma. Stenzel, R. L.; Urrutia, J. M.; Strohmaier, K. D. // Physics of Plasmas;Feb2009, Vol. 16 Issue 2, pN.PAG 

    Nonlinear whistler phenomena near a magnetic loop antenna in a field-free plasma have been investigated experimentally. The loop field oscillates at a frequency far below the electron plasma frequency, hence all linear electromagnetic modes are cut off. However, the peak antenna field is so...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics