265 research outputs found
Stokes trapping and planet formation
It is believed that planets are formed by aggregation of dust particles
suspended in the turbulent gas forming accretion disks around developing stars.
We describe a mechanism, termed 'Stokes trapping', by which turbulence limits
the growth of aggregates of dust particles, so that their Stokes number
(defined as the ratio of the damping time of the particles to the Kolmogorov
dissipation timescale) remains close to unity. We discuss possible mechanisms
for avoiding this barrier to further growth. None of these is found to be
satisfactory and we introduce a new theory which does not involve the growth of
small clusters of dust grains.Comment: 30 pages, 4 figures. Revised version has improved concluding remarks,
extended discussion of sticking velocit
The impact of beam deconvolution on noise properties in CMB measurements: Application to Planck LFI
We present an analysis of the effects of beam deconvolution on noise
properties in CMB measurements. The analysis is built around the artDeco beam
deconvolver code. We derive a low-resolution noise covariance matrix that
describes the residual noise in deconvolution products, both in harmonic and
pixel space. The matrix models the residual correlated noise that remains in
time-ordered data after destriping, and the effect of deconvolution on it. To
validate the results, we generate noise simulations that mimic the data from
the Planck LFI instrument. A test for the full 70 GHz covariance in
multipole range yields a mean reduced of 1.0037. We
compare two destriping options, full and independent destriping, when
deconvolving subsets of available data. Full destriping leaves substantially
less residual noise, but leaves data sets intercorrelated. We derive also a
white noise covariance matrix that provides an approximation of the full noise
at high multipoles, and study the properties on high-resolution noise in pixel
space through simulations.Comment: 22 pages, 25 figure
Colliding Particles in Highly Turbulent Flows
We discuss relative velocities and the collision rate of small particles
suspended in a highly turbulent fluid. In the limit where the viscous damping
is very weak, we estimate the relative velocities using the Kolmogorov cascade
principle.Comment: 5 pages, no figures, v2 contains additional result
Variable-range Projection Model for Turbulence-driven Collisions
We discuss the probability distribution of relative speed of
inertial particles suspended in a highly turbulent gas when the Stokes numbers,
a dimensionless measure of their inertia, is large. We identify a mechanism
giving rise to the distribution
(for some constant ). Our conclusions are supported by numerical simulations
and the analytical solution of a model equation of motion. The results
determine the rate of collisions between suspended particles. They are relevant
to the hypothesised mechanism for formation of planets by aggregation of dust
particles in circumstellar nebula.Comment: 4 pages, 2 figure
Quest for Rare Events in three-dimensional Mesoscopic Disordered Metals
The study reports on the first large statistics numerical experiment
searching for rare eigenstates of anomalously high amplitudes in
three-dimensional diffusive metallic conductors. Only a small fraction of a
huge number of investigated eigenfunctions generates the far asymptotic tail of
their amplitude distribution function. The relevance of the relationship
between disorder and spectral averaging, as well as of the quantum transport
properties of the investigated mesoscopic samples, for the numerical
exploration of eigenstate statistics is divulged. The quest provides exact
results to serve as a reference point in understanding the limits of
approximations employed in different analytical predictions, and thereby the
physics (quantum vs semiclassical) behind large deviations from the universal
predictions of random matrix theory.Comment: 5 pages, 3 embedded EPS figures, figure 3 replaced with new findings
on spectral vs disorder averagin
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