MHD properties of low-aspect-ratio (low-A) reversed field pinch (RFP) plasmas have been studied in RELAX machine with aspect ratio of 2. The MHD behavior appeared in edge magnetic field fluctuations shows strong dependence on toroidal field reversal. In standard or deep-reversal plasmas, the edge magnetic fluctuation has broad toroidal mode spectrum, while it is narrowed by reducing the toroida...

A connection between creation of toroidal moments and breaking of the relativistic crystalline group associated to a given crystal, is presented in this paper. Indeed, if magnetoelectric effects exist, the interaction between electrons and elementary magnetic cells appears in such a way that the resulting local polarization and magnetization break the local relativistic crystalline symmetry. Th...

Associated Legendre functions of half-odd degree and arguments larger than one, also known as toroidal harmonics, appear in the solution of Dirichlet problems with toroidal symmetry. It is shown how the use of series expansions, continued fractions and uniform asymptotic expansions, together with the application of recurrence relations over degrees and orders, permits the evaluation of the whol...

A method for analyzing the structural behavior of toroidal magnet systems subjected to Lorentz fomes both in and out of the winding planes, and thermal loads is considered in this paper. The toroidal coil assembly is treated as a finite thickness, orthotropic, rotationally symmetric shell of revolution acted upon by symmetrical and antisymmetrical loads. The equations based on Reissner's shell ...

The original description of alpha particle driven instabilities in the Tokamak Fusion Test Reactor in terms of toroidal Alfvén eigenmodes (TAEs) remained inconsistent with three fundamental characteristics of the observations: (i) the variation of the mode frequency with toroidal mode number, (ii) the chirping of the mode frequency for a given toroidal mode number, and (iii) the antiballooning ...

ABSTRACT During the last decade it has become evident that the magnetorotational instability is at the heart of the enhanced angular momentum transport in weakly magnetized accretion disks around neutron stars and black holes. In this paper, we investigate the local linear stability of differentially rotating, magnetized flows and the evolution of the magnetorotational instability beyond the we...

Turbulence and transport across magnetic field lines disrupt plasma confinement, which is particularly troublesome in toroidal geometries potentially useful for fusion energy. We investigate fluctuations of a helium plasma in the Enormous Toroidal Plasma Device (ETPD) at UCLA using 4-tip Langmuir probes to measure potential and ion saturation current. ETPD is a simple magnetized torus with majo...

The generation of the toroidal rotation due to the radial current torque induced by the charge separation is studied by using one-dimensional multi-fluid transport code TASK/TX. Taking account of the effect of the drift orbit, the charge separation occurs as long as trapped ions are generated, typically by near-perpendicular NBI. Coupling the TASK/TX code with the Orbit-FollowingMonte Carlo cod...

A toroidal embedding is defined which does not assume the fan consists of rational cones. For a rational fan, the toroidal embedding is the usual toric variety. If the fan is not rational, the toroidal embedding is in general a quasicompact noetherian locally ringed space which is not a scheme. A divisor theory exists and a class group is defined. A second construction is also carried out which...

Recently Varagnolo and Vasserot established that the q-deformed Fock spaces due to Hayashi, and Kashiwara, Miwa and Stern, admit actions of the quantum toroidal algebra U ′ q(sln,tor) (n ≥ 3) with the level (0, 1). In the present article we propose a more detailed proof of this fact then the one given by Varagnolo and Vasserot. The proof is based on certain non-trivial properties of Cherednik’s...