Modelling the electric field applied to a tokamak

  title={Modelling the electric field applied to a tokamak},
  author={Robert W. Johnson},
  journal={The European Physical Journal D},
Abstract. The vector potential for the Ohmic heating coil system of a tokamak is obtained in semi-analytical form. Comparison is made to the potential of a simple, finite solenoid. In the quasi-static limit, the time rate of change of the potential determines the induced electromotive force through the Maxwell-Lodge effect. Discussion of the gauge constraint is included.  

Extension of neoclassical rotation theory for tokamaks to realistically account for the geometry of magnetic flux surfaces

A neoclassical rotation theory (poloidal and toroidal) is developed from the fluid moment equations, using the Braginskii decomposition of the viscosity tensor extended to generalized curvilinear



The electromagnetic field of solenoids with time-dependent currents

Electromagnetic fields of the toroidal solenoid with a time-dependent current are studied. Their properties and the possible practical applications of the results obtained are discussed.

The Maxwell-Lodge effect: Significance of electromagnetic potentials in the classical theory

The Aharonov-Bohm effect has been the starting point of the reconsideration of the reality of the vector potential within quantum physics. We argue that the Maxwell-Lodge effect is its classical

A design retrospective of the DIII-D tokamak

The DIII-D tokamak evolved from the earlier Doublet III device in 1986. Since then, the facility has undergone a number of changes including the installation of divertor baffles and pumping chambers

The fields outside a long solenoid with a time-dependent current

An instructive version of this well-known problem is the case of a current that is zero to t 0. A generally excellent discussion of this case by Abbott and Griffiths features, however, a singularity

A Dynamical Theory of the Electromagnetic Field

HE proposed Theory seeks for the origin of electromagnetic effects in the medium surrounding the electric or magnetic bodies, and assumes that they act on each other not immediately at a distance,

A neoclassical calculation of toroidal rotation profiles and comparison with DIII-D measurements

Momentum and particle balance and neoclassical viscosity were applied to calculate the radial profile of toroidal rotation velocity in several DIII-D [J. Luxon, Nucl. Fusion 42, 614 (2002)]

Macroscopic electromagnetic stress tensor for ionized media

Abstract Following the arguments presented by Mansuripur [Opt. Express, vol. 16, 2008, pp. 14821–14835], we suggest a form for the macroscopic electromagnetic stress tensor appropriate for ionized


This paper presents the results of a two-year study into the integration of plasma boundary conditions into the Lawrence Berkeley Laboratory Accelerator & Fusion Research Division.

VIII. A dynamical theory of the electromagnetic field

  • J. Maxwell
  • Physics
    Philosophical Transactions of the Royal Society of London
  • 1865
(1) The most obvious mechanical phenomenon in electrical and magnetical experiments is the mutual action by which bodies in certain states set each other in motion while still at a sensible distance

From Lorenz to Coulomb and other explicit gauge transformations

The main purposes of this paper are (i) to illustrate explicitly by a number of examples the gauge functions χ(x,t) whose spatial and temporal derivatives transform one set of electromagnetic