A fully kinetic assessment of the stability properties of toroidal drift modes has been obtained for nonaxisymmetric (stellarator) geometry, in the electrostatic limit. This calculation is a comprehensive solution of the linearized gyrokinetic equation, using the lowest-order \ballooning representation" for high toroidal mode number instabilities, with a model collision operator. Results for to...

"The "focused doughnut", a single-cycle electromagnetic perturbation of toroidal topology with inseparable time and spatial dependencies propagates at the speed of light in vacuum, as was shown by Hellwarth and Nouchi in 1996. While normal incidence reflection and refraction of conventional electromagnetic pulses in isotropic media do not lead to polarization changes, "focused doughnut" pulses ...

The first sustainment of toroidal plasma current of 50 kA at up to 3 times the injected currents, added in quadrature, using steady inductive helicity injection is described. Separatrix currents-currents not linking the helicity injectors-are sustained up to 40 kA. Decreases in the n=1 toroidal mode of the poloidal magnetic field at higher current amplifications indicate more quiescent, direct ...

It is shown that when tokamaks are perturbed the kinetic energy principle is closely related to the neoclassical toroidal torque by the action invariance of particles. Especially when tokamaks are perturbed from scalar pressure equilibria, the imaginary part of the potential energy in the kinetic energy principle is equivalent to the toroidal torque by the Neoclassical Toroidal Viscosity (NTV)....

Understanding the properties of the internal magnetic field of neutron stars remains a theoretical challenge. Over the last years, twisted-torus geometries have been considered both in Newtonian and general-relativistic equilibrium models, as they represent a potentially good description of neutron star interiors. All of these works have found an apparent intrinsic limitation to geometries that...

Abstract A three-mode model for the resistive wall modes based on the toroidally coupled resistive wall tearing modes is developed. The linear neoclassical tearing mode response is used at the singular surfaces to enhance plasma inertia and reduce the toroidal rotation speed for stability. The dispersion relation is obtained from the determinant of a 6×6 matrix. The toroidal rotation profile fo...

I gave two talks on some of my results on toroidal Lie algebras in the conference Functional Analysis VIII held in Dubrovnik, Croatia in June 2003. But these results have been submitted to research journals and will appear soon. So I decided to write an expository article on Toroidal Lie Algebras covering my results for the proceedings of Functional Analysis VIII. I will introduce the definitio...

Ah&z&-Diagonal and toroidal mesh are degree-4, point to point intercoimection models suitable for connecting communication elements in parallel computers, particularly multicomputers. The two networks have a similar structure. The toroidai mesh is popular and well-studied whereas tbe diagonal mesh is relatively new. In this paper, we show that the diagonal mesh has a smaller diameter and a larg...

This paper introduces a number of refinements to the Parallel Coordinates visualisation metaphor for multidimensional data. Firstly, the traditional set of poly-lines are replaced with a collection of smooth curves across the attribute axes, allowing individual data elements to be traced under certain limitations; normally impossible due to the ‘crossing problem’. Then the notion of spreading o...

We construct explicit solutions of the Hermitian Yang-Mills equations on the noncommutative space C θ . In the commutative limit they coincide with the standard instantons on CP written in local coordinates.