4,377 research outputs found
Phase Inhomogeneity of the Itinerant Ferromagnet MnSi at High Pressures
The pressure induced quantum phase transition of the weakly itinerant
ferromagnet MnSi is studied using zero-field NMR spectroscopy and
relaxation. Below , the intensity of the signal and the
nuclear spin-lattice relaxation is independent of pressure, even though the
amplitude of the magnetization drops by 20% from the ambient pressure
amplitude. For , the decreasing intensity within the experimentally
detectable bandwidth signals the onset of an inhomogeneous phase that persists
to the highest pressure measured, , which is well beyond the
known critical pressure . Implications for the non-Fermi Liquid
behavior observed for are discussed.Comment: 4 pages, 4 figure
Array imaging of localized objects in homogeneous and heterogeneous media
We present a comprehensive study of the resolution and stability properties
of sparse promoting optimization theories applied to narrow band array imaging
of localized scatterers. We consider homogeneous and heterogeneous media, and
multiple and single scattering situations. When the media is homogeneous with
strong multiple scattering between scatterers, we give a non-iterative
formulation to find the locations and reflectivities of the scatterers from a
nonlinear inverse problem in two steps, using either single or multiple
illuminations. We further introduce an approach that uses the top singular
vectors of the response matrix as optimal illuminations, which improves the
robustness of sparse promoting optimization with respect to additive noise.
When multiple scattering is negligible, the optimization problem becomes linear
and can be reduced to a hybrid- method when optimal illuminations are
used. When the media is random, and the interaction with the unknown
inhomogeneities can be primarily modeled by wavefront distortions, we address
the statistical stability of these methods. We analyze the fluctuations of the
images obtained with the hybrid- method, and we show that it is stable
with respect to different realizations of the random medium provided the
imaging array is large enough. We compare the performance of the
hybrid- method in random media to the widely used Kirchhoff migration
and the multiple signal classification methods
Compressive Inverse Scattering II. SISO Measurements with Born scatterers
Inverse scattering methods capable of compressive imaging are proposed and
analyzed. The methods employ randomly and repeatedly (multiple-shot) the
single-input-single-output (SISO) measurements in which the probe frequencies,
the incident and the sampling directions are related in a precise way and are
capable of recovering exactly scatterers of sufficiently low sparsity.
For point targets, various sampling techniques are proposed to transform the
scattering matrix into the random Fourier matrix. The results for point targets
are then extended to the case of localized extended targets by interpolating
from grid points. In particular, an explicit error bound is derived for the
piece-wise constant interpolation which is shown to be a practical way of
discretizing localized extended targets and enabling the compressed sensing
techniques.
For distributed extended targets, the Littlewood-Paley basis is used in
analysis. A specially designed sampling scheme then transforms the scattering
matrix into a block-diagonal matrix with each block being the random Fourier
matrix corresponding to one of the multiple dyadic scales of the extended
target. In other words by the Littlewood-Paley basis and the proposed sampling
scheme the different dyadic scales of the target are decoupled and therefore
can be reconstructed scale-by-scale by the proposed method. Moreover, with
probes of any single frequency \om the coefficients in the Littlewood-Paley
expansion for scales up to \om/(2\pi) can be exactly recovered.Comment: Add a new section (Section 3) on localized extended target
Relativistic surfatron process for Landau resonant electrons in radiation belts
Recent theoretical studies of the nonlinear wave-particle interactions for
relativistic particles have shown that Landau resonant orbits could be
efficiently accelerated along the mean background magnetic field for
propagation angles in close proximity to a critical propagation
associated with a Hopf--Hopf bifurcation condition. In this
report, we extend previous studies to reach greater modeling capacities for the
study of electrons in radiation belts by including longitudinal wave effects
and inhomogeneous magnetic fields. We find that even though both effects can
limit the surfatron acceleration of electrons in radiation belts, gains in
energy of the order of 100 keV, taking place on the order of ten milliseconds,
are sufficiently strong for the mechanism to be relevant to radiation belt
dynamics.Comment: Published in Nonlinear Processes of Geophysics but available in here
without some random typos introduced by publishe
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