Globally coherent modes which are observed during formation in the S-1 Spheromak plasma occur during flux conversion and plasma relaxation toward a minimum-energy state, suggesting that these modes provide a means for relaxation. A significant finding is the temporal progression of these modes through a sequence n = 5, 4, 3, 2, m = 1, as q rises through rational fractions m/n, where n and m are...

In the context of loop quantum gravity, we construct the phase-space of the isolated horizon with toroidal topology. Within the loop quantum gravity framework, this horizon is described by a torus with N punctures and the dimension of the corresponding phase-space is calculated including the toroidal cycles as degrees of freedom. From this, the black hole entropy can be calculated by counting t...

A biased electrode is used in the Madison Symmetric Torus ~MST! reversed-field pinch @Fusion Technol. 19, 131 ~1991!# to manipulate plasma flow in order to study flow damping and momentum transport. Finite radial conductivity allows a radial current, which provides the toroidal torque that spins up the plasma. The applied torque is balanced by a viscous force that opposes toroidal flow accelera...

Zagier introduced toroidal automorphic forms to study the zeros of zeta functions: an automorphic form on GL2 is toroidal if all its right translates integrate to zero over all nonsplit tori in GL2, and an Eisenstein series is toroidal if its weight is a zero of the zeta function of the corresponding field. We compute the space of such forms for the global function fields of class number one an...

This paper treats the dipolar interactions of a two-dimensional system of discs upon which a triangle of spins is mounted. We obtain the leading term of the multipole expansion of the interaction energy of discs on which is mounted a regular n-gon of spins. A definition of the toroidal magnetic moment Ti of the ith plaquette is proposed such that the magnetostatic interaction between plaquettes...

I.._._& .".^^I --.----.--.: ~ . . ~ ~ . ~ ~ . . ~ ~ I l . l ~ ~ . ~ ~ ~ ~ I ~ ~ ~ ~ I _ L ~ ~ -,.~-~ ..: fiML..CI. lllr rrrru".aiglLso* plupcrocr "I m s LUrVlUa, SDlenOl" W l l " an allsmarlng sYrrsI11 are discussed. The multipole expansion for the electromagnetic field of the toroidal solenoid is obtained and explicit expressions for the toroidal form factors and moments are given. Concrete re...