It is shown that there is a precise sense in which the Heisenberg uncertainty between fluxes of electric and magnetic fields through finite surfaces is given by (one-half h̄ times) the Gauss linking number of the loops that bound these surfaces. To regularize the relevant operators, one is naturally led to assign a framing to each loop. The uncertainty between the fluxes of electric and magnetic...

We investigate the behavior of the magnetic Prandtl number (ratio of microscopic viscosity to resistivity) for accretion sources. Generally this number is very small in standard accretion disk models, but can become larger than unity within ∼ 50 Schwarzschild radii of the central mass. Recent numerical investigations suggest a marked dependence of the level of MHD turbulence on the value of the...

Axisymmetric stability of viscous resistive magnetized Couette flow is re-examined, with emphasis on flows that would be hydrodynamically stable according Rayleigh’s criterion: opposing gradients of angular velocity and specific angular momentum. In this regime, magnetorotational instability (MRI) may occur. The governing system in cylindrical coordinates is of tenth order. It is proved, by met...

Dynamo action in a fully helical Beltrami (ABC) flow is studied using both direct numerical simulations and subgrid modeling. Sufficient scale separation is given in order to allow for largescale magnetic energy build-up. Growth of magnetic energy obtains down to a magnetic Prandtl number PM = RM/RV close to 0.005, where RV and RM are the kinetic and magnetic Reynolds numbers. The critical magn...

We report the formation of stable two-dimensional clusters consisting of long-range-interacting colloidal particles with predefined magnetic moments. The symmetry and arrangement of the particles within the cluster are imposed by the magnetic frustration. By satisfying the criteria of stability, a series of magic number clusters is formed. The magic clusters are close packed and have compensati...

Publisher rights Copyright (2015) AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared inPaterson, GW, Goncalves, FJT, McFadzean, S, O'Reilly, S, Bowman, R & Stamps, RL 2015, 'Magnetic Characteristics of a High-layer-number NiFe/FeMn Multilayer' Journal of Applied Physics, v...

introduction increasing world population is facing critically depletion of water resources, which will be along with increasing food demands to cover the human needs all over the world. therefore, water scarcity is increasingly a major limitation for increased agricultural production and food security in this century. the scarcity of qualified water, has made farmers to consider the water of ma...

This work numerically studies the flow pattern of a magnetic fluid filled within an annulus whose inner cylinder is moving at a constant rotational speed, while the outer cylinder is stationary but under the influence of a nonuniform external magnetic field. The magnetic field consists of four basic configurations, that is, completely circular, semicircular, quarter circular, and alternately qu...

a number of complexes in the series (cu ll'),, where l = [(ch,),c-co-ch-coc( ch,),]-i and l'= 3-(me) c6h,0-, 2,6-(di-me)c6h30-, 4-(oh)c6h?o-, 3- (f) c6h,0-, 4-(br)c6h40-a, nd 3,s-(dl-me)c6h30h- ave been prepared and theu magnetic and optical properties determined. in chloroform, the complexes exhibit two bands in the visible and near uv regions. all complexes show room temperature mag...