17,214 research outputs found
Statistics of the Mesoscopic Field
We find in measurements of microwave transmission through quasi-1D dielectric
samples for both diffusive and localized waves that the field normalized by the
square root of the spatially averaged flux in a given sample configuration is a
Gaussian random process with position, polarization, frequency, and time. As a
result, the probability distribution of the field in the random ensemble is a
mixture of Gaussian functions weighted by the distribution of total
transmission, while its correlation function is a product of correlators of the
Gaussian field and the square root of the total transmission.Comment: RevTex: 5 pages, 2 figures; to be presented at Aspects of Quantum
Chaotic Scattering (Dresden, March 7-12, 2005
Workshop on dimensional analysis for design, development, and research executives
The proceedings of a conference of research and development executives are presented. The purpose of the meeting was to develop an understanding of the conditions which are appropriate for the use of certain general management tools and those conditions which render these tools inappropriate. The verbatim statements of the participants are included to show the direction taken initially by the conference. Formal presentations of management techniques for research and development are developed
Correlations and fluctuations of a confined electron gas
The grand potential and the response of a phase-coherent confined noninteracting electron gas depend
sensitively on chemical potential or external parameter . We compute
their autocorrelation as a function of , and temperature. The result
is related to the short-time dynamics of the corresponding classical system,
implying in general the absence of a universal regime. Chaotic, diffusive and
integrable motions are investigated, and illustrated numerically. The
autocorrelation of the persistent current of a disordered mesoscopic ring is
also computed.Comment: 12 pages, 1 figure, to appear in Phys. Rev.
Transport of quantum noise through random media
We present an experimental study of the propagation of quantum noise in a
multiple scattering random medium. Both static and dynamic scattering
measurements are performed: the total transmission of noise is related to the
mean free path for scattering, while the noise frequency correlation function
determines the diffusion constant. The quantum noise observables are found to
scale markedly differently with scattering parameters compared to classical
noise observables. The measurements are explained with a full quantum model of
multiple scattering
Convex curves of bounded type
Let C be a simple closed convex curve in the plane for which the radius of curvature Ï is a continuous function of the arc length. Such a curve is called a convex curve of bounded type, if Ï lies between two fixed positive bounds. Here we give a new and simpler proof of Blaschke's Rolling Theorem. We prove one new theorem and suggest a number of open problems
An invitation on the study of univalent and multivalent functions
We begin with the basic definition and some very simple examples from the theory of univalent functions. After a brief look at the literature, we survey the progress that has been made on certain problems in this field. The article ends with a few open questions
Anisotropic multi-gap superfluid states in nuclear matter
It is shown that under changing density or temperature a nucleon Fermi
superfluid can undergo a phase transition to an anisotropic superfluid state,
characterized by nonvanishing gaps in pairing channels with singlet-singlet
(SS) and triplet-singlet (TS) pairing of nucleons (in spin and isospin spaces).
In the SS pairing channel nucleons are paired with nonzero orbital angular
momentum. Such two-gap states can arise as a result of branching from the
one-gap solution of the self-consistent equations, describing SS or TS pairing
of nucleons, that depends on the relationship between SS and TS coupling
constants at the branching point. The density/temperature dependence of the
order parameters and the critical temperature for transition to the anisotropic
two-gap state are determined in a model with the SkP effective interaction. It
is shown that the anisotropic SS-TS superfluid phase corresponds to a
metastable state in nuclear matter.Comment: Prepared with RevTeX4, 7p., 5 fi
Model-independent measurements of the sodium magneto-optical trap's excited-state population
We present model-independent measurements of the excited-state population of
atoms in a sodium (Na) magneto-optical trap (MOT) using a hybrid ion-neutral
trap composed of a MOT and a linear Paul trap (LPT). We photoionize excited Na
atoms trapped in the MOT and use two independent methods to measure the
resulting ions: directly by trapping them in our LPT, and indirectly by
monitoring changes in MOT fluorescence. By measuring the ionization rate via
these two independent methods, we have enough information to directly determine
the population of MOT atoms in the excited-state. The resulting measurement
reveals that there is a range of trapping-laser intensities where the
excited-state population of atoms in our MOT follows the standard two-level
model intensity-dependence. However, an experimentally determined effective
saturation intensity must be used instead of the theoretically predicted value
from the two-level model. We measured the effective saturation intensity to be
for the type-I Na MOT and
for the type-II Na MOT,
approximately 1.7 and 3.6 times the theoretical estimate, respectively. Lastly,
at large trapping-laser intensities, our experiment reveals a clear departure
from the two-level model at a critical intensity that we believe is due to a
state-mixing effect, whose critical intensity can be determined by a simple
power broadening model.Comment: 10 pages, 8 figure
The Spectral Correlation Function -- A New Tool for Analyzing Spectral-Line Maps
The "spectral correlation function" analysis we introduce in this paper is a
new tool for analyzing spectral-line data cubes. Our initial tests, carried out
on a suite of observed and simulated data cubes, indicate that the spectral
correlation function [SCF] is likely to be a more discriminating statistic than
other statistical methods normally applied. The SCF is a measure of similarity
between neighboring spectra in the data cube. When the SCF is used to compare a
data cube consisting of spectral-line observations of the ISM with a data cube
derived from MHD simulations of molecular clouds, it can find differences that
are not found by other analyses. The initial results presented here suggest
that the inclusion of self-gravity in numerical simulations is critical for
reproducing the correlation behavior of spectra in star-forming molecular
clouds.Comment: 29 pages, including 4 figures (tar file submitted as source) See
also: http://cfa-www.harvard.edu/~agoodman/scf/velocity_methods.htm
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