1,424 research outputs found
Scalable Task-Based Algorithm for Multiplication of Block-Rank-Sparse Matrices
A task-based formulation of Scalable Universal Matrix Multiplication
Algorithm (SUMMA), a popular algorithm for matrix multiplication (MM), is
applied to the multiplication of hierarchy-free, rank-structured matrices that
appear in the domain of quantum chemistry (QC). The novel features of our
formulation are: (1) concurrent scheduling of multiple SUMMA iterations, and
(2) fine-grained task-based composition. These features make it tolerant of the
load imbalance due to the irregular matrix structure and eliminate all
artifactual sources of global synchronization.Scalability of iterative
computation of square-root inverse of block-rank-sparse QC matrices is
demonstrated; for full-rank (dense) matrices the performance of our SUMMA
formulation usually exceeds that of the state-of-the-art dense MM
implementations (ScaLAPACK and Cyclops Tensor Framework).Comment: 8 pages, 6 figures, accepted to IA3 2015. arXiv admin note: text
overlap with arXiv:1504.0504
A photometricity and extinction monitor at the Apache Point Observatory
An unsupervised software ``robot'' that automatically and robustly reduces
and analyzes CCD observations of photometric standard stars is described. The
robot measures extinction coefficients and other photometric parameters in real
time and, more carefully, on the next day. It also reduces and analyzes data
from an all-sky camera to detect clouds; photometric data taken
during cloudy periods are automatically rejected. The robot reports its
findings back to observers and data analysts via the World-Wide Web. It can be
used to assess photometricity, and to build data on site conditions. The
robot's automated and uniform site monitoring represents a minimum standard for
any observing site with queue scheduling, a public data archive, or likely
participation in any future National Virtual Observatory.Comment: accepted for publication in A
Formation and evolution of density singularities in hydrodynamics of inelastic gases
We use ideal hydrodynamics to investigate clustering in a gas of
inelastically colliding spheres. The hydrodynamic equations exhibit a new type
of finite-time density blowup, where the gas pressure remains finite. The
density blowups signal formation of close-packed clusters. The blowup dynamics
are universal and describable by exact analytic solutions continuable beyond
the blowup time. These solutions show that dilute hydrodynamic equations yield
a powerful effective description of a granular gas flow with close-packed
clusters, described as finite-mass point-like singularities of the density.
This description is similar in spirit to the description of shocks in ordinary
ideal gas dynamics.Comment: 4 pages, 3 figures, final versio
The Knudsen temperature jump and the Navier-Stokes hydrodynamics of granular gases driven by thermal walls
Thermal wall is a convenient idealization of a rapidly vibrating plate used
for vibrofluidization of granular materials. The objective of this work is to
incorporate the Knudsen temperature jump at thermal wall in the Navier-Stokes
hydrodynamic modeling of dilute granular gases of monodisperse particles that
collide nearly elastically. The Knudsen temperature jump manifests itself as an
additional term, proportional to the temperature gradient, in the boundary
condition for the temperature. Up to a numerical pre-factor of order unity,
this term is known from kinetic theory of elastic gases. We determine the
previously unknown numerical pre-factor by measuring, in a series of molecular
dynamics (MD) simulations, steady-state temperature profiles of a gas of
elastically colliding hard disks, confined between two thermal walls kept at
different temperatures, and comparing the results with the predictions of a
hydrodynamic calculation employing the modified boundary condition. The
modified boundary condition is then applied, without any adjustable parameters,
to a hydrodynamic calculation of the temperature profile of a gas of inelastic
hard disks driven by a thermal wall. We find the hydrodynamic prediction to be
in very good agreement with MD simulations of the same system. The results of
this work pave the way to a more accurate hydrodynamic modeling of driven
granular gases.Comment: 7 pages, 3 figure
Close-packed floating clusters: granular hydrodynamics beyond the freezing point?
Monodisperse granular flows often develop regions with hexagonal close
packing of particles. We investigate this effect in a system of inelastic hard
spheres driven from below by a "thermal" plate. Molecular dynamics simulations
show, in a wide range of parameters, a close-packed cluster supported by a
low-density region. Surprisingly, the steady-state density profile, including
the close-packed cluster part, is well described by a variant of Navier-Stokes
granular hydrodynamics (NSGH). We suggest a simple explanation for the success
of NSGH beyond the freezing point.Comment: 4 pages, 5 figures. To appear in Phys. Rev. Let
Anomalous Dynamic Scaling in Locally-Conserved Coarsening of Fractal Clusters
We report two-dimensional phase-field simulations of locally-conserved
coarsening dynamics of random fractal clusters with fractal dimension D=1.7 and
1.5. The correlation function, cluster perimeter and solute mass are measured
as functions of time. Analyzing the correlation function dynamics, we identify
two different time-dependent length scales that exhibit power laws in time. The
exponents of these power laws are independent of D, one of them is apparently
the classic exponent 1/3. The solute mass versus time exhibits dynamic scaling
with a D-dependent exponent, in agreement with a simple scaling theory.Comment: 5 pages, 4 figure
Association of the I1307K APC mutation with hereditary and sporadic breast/ovarian cancer: more questions than answers
The frequency of the APC I1307K mutation and its association with disease pattern was examined in 996 Ashkenazi women consisting of individuals with either sporadic (n = 382) or hereditary (n = 143) breast and/or ovarian cancer; asymptomatic BRCA1/2 mutation carriers (185delAG, 5382insC and 6174delT) (n = 53) and healthy controls (n = 418). The I1307K allele was equally distributed among women with sporadic (17/382; 4.6%) and inherited (10/143; 7%) breast and/or ovarian cancer irrespective of their being diagnosed before or after 42 years of age and among asymptomatic (7/53; 13.2%) and cancer manifesting BRCA1/2 carriers (10/143; 7%). Taken together, the prevalence of the I1307K allele was significantly higher in BRCA1/2 carriers compared to non-BRCA1/2 carriers (17/196; 8.7% and 40/800, 5%; respectively). The high prevalence of the I1307K allele among BRCA1/2 carriers is not associated with increased cancer risk but seems to be genetically connected because of Jewish ancestry. © 2000 Cancer Research Campaig
Onset of thermal convection in a horizontal layer of granular gas
The Navier-Stokes granular hydrodynamics is employed for determining the
threshold of thermal convection in an infinite horizontal layer of granular
gas. The dependence of the convection threshold, in terms of the inelasticity
of particle collisions, on the Froude and Knudsen numbers is found. A simple
necessary condition for convection is formulated in terms of the
Schwarzschild's criterion, well-known in thermal convection of (compressible)
classical fluids. The morphology of convection cells at the onset is
determined. At large Froude numbers, the Froude number drops out of the
problem. As the Froude number goes to zero, the convection instability turns
into a recently discovered phase separation instability.Comment: 6 pages, 6 figures. An extended version. A simple and universal
necessary criterion for convection presente
Conductivity of Strongly Coupled Striped Superconductor
We study the conductivity of a strongly coupled striped superconductor using
gauge/gravity duality (holography). The study is done analytically, in the
large modulation regime. We show that the optical conductivity is inhomogeneous
but isotropic at low temperatures. Near but below the critical temperature, we
calculate the conductivity analytically at small frequency \omega, and find it
to be both inhomogeneous and anisotropic. The anisotropy is imaginary and
scales like 1/\omega. We also calculate analytically the speed of the second
sound and the thermodynamic susceptibility.Comment: 32 page
Scaling anomalies in the coarsening dynamics of fractal viscous fingering patterns
We analyze a recent experiment of Sharon \textit{et al.} (2003) on the
coarsening, due to surface tension, of fractal viscous fingering patterns
(FVFPs) grown in a radial Hele-Shaw cell. We argue that an unforced Hele-Shaw
model, a natural model for that experiment, belongs to the same universality
class as model B of phase ordering. Two series of numerical simulations with
model B are performed, with the FVFPs grown in the experiment, and with
Diffusion Limited Aggregates, as the initial conditions. We observed
Lifshitz-Slyozov scaling at intermediate distances and very slow
convergence to this scaling at small distances. Dynamic scale invariance breaks
down at large distances.Comment: 4 pages, 4 eps figures; to appear in Phys. Rev.
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