A method for mapping known cylindrical magnetovac solutions to solutions in torus coordinates is developed. Identification of the cylinder ends changes topology from R1 × S1 to S1 × S1. An analytic Einstein–Maxwell solution for a toroidal magnetic field in tori is presented. The toroidal interior is matched to an asymptotically flat vacuum exterior, connected by an Israel boundary layer. PACS n...

(1) Utilizing a Braid group action on a completion of Uq(ŝln+1), an algebra homomorphism from the toroidal algebra Uq(sln+1,tor) (n ≥ 2) with fixed parameter to a completion of Uq(ĝln+1) is obtained. (2) The toroidal actions by Saito induces a level 0 U ′ q(ŝln+1) action on level 1 integrable highest weight modules of Uq(ŝln+1). Another level 0 U ′ q(ŝln+1) action is defined by Jimbo, et al., i...

We developed a scheme to investigate parity and time-reversal-odd order parameters associated with orbital currents within the framework of first-principle calculations. By applying our approach on CuO we further explore the source of orbital currents in this material which where observed by resonant x-ray diffraction. The comparison of our calculation with the experimental measurements reveale...

The generation of magnetic elds by a battery, operating in an ion-electron plasma around a Kerr black hole, is studied in the 3+1 split of the Kerr metric. It is found that the gravitomagnetic contributions to the electron partial pressure are able to drive currents. The strength of the equilibrium magnetic eld should be higher than for the classical Biermann battery, which is found to operate ...

IV. Calculation of toroidal rotation profiles in DIII-D using neoclassical viscosity (DoE Grant ER54538) W. M. Stacey, R. W. Johnson and J. Mandrekas (to be published in Physics of Plasmas, 2006) Abstract Momentum and particle balance and neoclassical viscosity were applied to calculate the radial profile of toroidal rotation in several DIII-D [J. Luxon, Nucl. Fusion, 42, 614 (2002)] discharges...

Pulsed power technology and appropriate boundary conditions have been used to create simulations of magnetically driven astrophysical jets in a laboratory experiment. The experiments are quite reproducible and involve a distinct sequence. Eight initial flux tubes, corresponding to eight gas injection locations, merge to form the jet which lengthens, collimates, and eventually kinks. A model dev...

Resonant energetic particles play a major role in determining the stability of toroidal Alfven eigemnodes (TAE’s) by yielding the well-known driving mechanism for the instability and by producing an effective dissipation, which removes the singular character of local oscillations of the shear-Al&n continuum and gives discrete kinetic Alfven waves (KAW’s). Toroidal coupling of two counterpropaga...

We show that the partition function of free Maxwell theory on a generic Euclidean fourmanifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one partition function of a 2d toroidal model, without the oscillator contributions. This map relates electric-magnetic duality to modular invariance of the toroidal mo...

We describe the structure of 2-connected non-planar toroidal graphs with no K3,3-subdivisions, using an appropriate substitution of planar networks into the edges of certain graphs called toroidal cores. The structural result is based on a refinement of the algorithmic results for graphs containing a fixed K5-subdivision in [A. Gagarin and W. Kocay, “Embedding graphs containing K5-subdivisions”...