Dirac four-potential tunings-based quantum transistor utilizing the Lorentz force

Turbulent boundary layer control utilizing the Lorentz force

Direct numerical simulations ~DNS! of a turbulent channel flow at low Reynolds number (Ret 5100,200,400, where Ret is the Reynolds number based on the wall-shear velocity and channel half-width! are carried out to examine the effectiveness of using the Lorentz force to reduce skin friction. The Lorentz force is created by embedding electrodes and permanent magnets in the flat surface over which...

The Lorentz - Dirac equation

The Lorentz-Dirac equation (LDE) x 000 ? x 00 = d dx V (x) models the point limit of the Maxwell-Lorentz equation describing the interaction of a charged extended particle with the electromagnetic eld. Since (LDE) admits solutions which accelerate even if they are outside the zone of interaction, Dirac proposed to study so-called "non runaway" solutions satisfying the condition x 00 (t) ! 0 as ...

Quaternions, Lorentz Group and the Dirac Theory

It is shown that a subgroup of SL(2, H), denoted Spin(2, H) in this paper, which is defined by two conditions in addition to unit quaternionic determinant, is locally iso-morphic to the restricted Lorentz group, L ↑ +. On the basis of the Dirac theory using the spinor group Spin(2, H), in which the charge conjugation transformation becomes linear in the quaternionic Dirac spinor, it is shown th...

Force-rebalanced Lorentz force magnetometer based on a micromachined oscillator

Stabilization of the incompressible 2D Euler equations in a simply connected domain utilizing the Lorentz force

In this paper, the null asymptotic stabilization of the 2D Euler equations of incompressible fluids in a simply connected bounded domain is investigated by utilizing the Lorentz force given by the Maxwell equations with Ohm’s law.  2004 Elsevier Inc. All rights reserved.