We study the cascading of fast MHD modes in magnetically dominated plasma by performing one-dimensional (1D) dynamical simulations. We find that the cascading becomes more efficient as an angle between wave vector and underlying magnetic field increases and fast mode becomes more compressive. We also study imbalanced turbulence, in which wave packets propagating in one-direction have more power...

The renormalization group (RG) method for differential equations is one of the perturbation methods for obtaining solutions which approximate exact solutions for a long time interval. This article shows that, for a differential equation associated with a given vector field on a manifold, a family of approximate solutions obtained by the RG method defines a vector field which is close to the ori...

The relativistic Dirac Hamiltonian that describes the motion of electrons in a magnetic field contains only paramagnetic terms ~i.e., terms linear in the vector potential A! while the corresponding nonrelativistic Schrödinger Hamiltonian also contains diamagnetic terms ~i.e., those from an A operator!. We demonstrate that all diamagnetic terms relativistically arise from second-order perturbati...

Observations provide strong evidence that the Universe underwent a phase of inflation in its early history. One of the most important consequences of inflation is the generation of the curvature perturbation, which is necessary for structure formation and is observed through the CMB anisotropy [1]. Quantum fluctuations of suitable fields give rise to a flat superhorizon spectrum of perturbation...

Background: Multiple sclerosis (MS) is a degenerative inflammatory disease which is most commonly diagnosed by magnetic resonance imaging (MRI). But, since the MRI device uses of a magnetic field, if there are metal objects in the patient's body, it can disrupt the health of the patient, the functioning of the MRI, and distortion in the images. Due to limitations of using MRI device, screening ...

We analyze the photo-excitation of atoms with a single valence electron by cylindrically polarized Laguerre-Gaussian beams. Theoretical analysis is performed within framework first-order perturbation theory and expanding vector potential beam in terms its multipole components. For beams, we show that (magnetic) sub-components electric-quadrupole field vary significantly cross-section waist radi...

Two kinds of configuration schemes about eight and ten single-axis vector magnetometers are put forward on the basis of describing the principle of underwater magnetic field localization. The measurement equations of magnetic field magnitude and gradients are educed on condition of two configuration schemes, and that the calculated precisions of both magnetic field magnitude and gradients are c...

Modeling an anisotropic spatially and temporarily dispersive magnetodielectric medium by two independent collections of three dimensional vector fields, we demonstrate a fully canonical quantization of electromagnetic field in the presence of such a medium. Two tensor fields which couple the electromagnetic field with the medium and have an important role in this quantization method are introdu...

We investigate the accuracy to which we can retrieve the solar photospheric magnetic field vector using the Helioseismic and Magnetic Imager (HMI) that will fly onboard of the Solar Dynamics Observatory (SDO) by inverting simulated HMI profiles. The simulated profiles realistically take into account the effects of the photon noise, limited spectral resolution, instrumental polarization modulati...