28,338 research outputs found
A deterministic sandpile automaton revisited
The Bak-Tang-Wiesenfeld (BTW) sandpile model is a cellular automaton which
has been intensively studied during the last years as a paradigm for
self-organized criticality. In this paper, we reconsider a deterministic
version of the BTW model introduced by Wiesenfeld, Theiler and McNamara, where
sand grains are added always to one fixed site on the square lattice. Using the
Abelian sandpile formalism we discuss the static properties of the system. We
present numerical evidence that the deterministic model is only in the BTW
universality class if the initial conditions and the geometric form of the
boundaries do not respect the full symmetry of the square lattice.Comment: 7 pages, 8 figures, EPJ style, accepted for publication in European
Physical Journal
Calibration update of the COMBO-17 CDFS catalogue
We present an update to the photometric calibration of the COMBO-17 catalogue
on the Extended Chandra Deep Field South, which is now consistent with the
GaBoDS and MUSYC catalogues. As a result, photometric redshifts become slightly
more accurate, with <0.01 rms and little bias in the delta_z/(1+z) of galaxies
with R<21 and of QSOs with R<24. With increasing photon noise the rms of
galaxies reaches 0.02 for R<23 and 0.035 at R~23.5. Consequences for the
rest-frame colours of galaxies at z<1 are discussed.Comment: A&A research note, resubmitted 02 Oct 2008, 4 pages in print forma
Fully-coupled analysis of jet mixing problems. Three-dimensional PNS model, SCIP3D
Numerical procedures formulated for the analysis of 3D jet mixing problems, as incorporated in the computer model, SCIP3D, are described. The overall methodology closely parallels that developed in the earlier 2D axisymmetric jet mixing model, SCIPVIS. SCIP3D integrates the 3D parabolized Navier-Stokes (PNS) jet mixing equations, cast in mapped cartesian or cylindrical coordinates, employing the explicit MacCormack Algorithm. A pressure split variant of this algorithm is employed in subsonic regions with a sublayer approximation utilized for treating the streamwise pressure component. SCIP3D contains both the ks and kW turbulence models, and employs a two component mixture approach to treat jet exhausts of arbitrary composition. Specialized grid procedures are used to adjust the grid growth in accordance with the growth of the jet, including a hybrid cartesian/cylindrical grid procedure for rectangular jets which moves the hybrid coordinate origin towards the flow origin as the jet transitions from a rectangular to circular shape. Numerous calculations are presented for rectangular mixing problems, as well as for a variety of basic unit problems exhibiting overall capabilities of SCIP3D
A constructive algorithm for the Cartan decomposition of SU(2^N)
We present an explicit numerical method to obtain the Cartan-Khaneja-Glaser
decomposition of a general element G of SU(2^N) in terms of its `Cartan' and
`non-Cartan' components. This effectively factors G in terms of group elements
that belong in SU(2^n) with n<N, a procedure that can be iterated down to n=2.
We show that every step reduces to solving the zeros of a matrix polynomial,
obtained by truncation of the Baker-Campbell-Hausdorff formula, numerically.
All computational tasks involved are straightforward and the overall truncation
errors are well under control.Comment: 15 pages, no figures, matlab file at
http://cam.qubit.org/users/jiannis
Gravitational lens magnification by Abell 1689: Distortion of the background galaxy luminosity function
Gravitational lensing magnifies the luminosity of galaxies behind the lens.
We use this effect to constrain the total mass in the cluster Abell 1689 by
comparing the lensed luminosities of background galaxies with the luminosity
function of an undistorted field. Since galaxies are assumed to be a random
sampling of luminosity space, this method is not limited by clustering noise.
We use photometric redshift information to estimate galaxy distance and
intrinsic luminosity. Knowing the redshift distribution of the background
population allows us to lift the mass/background degeneracy common to lensing
analysis. In this paper we use 9 filters observed over 12 hours with the Calar
Alto 3.5m telescope to determine the redshifts of 1000 galaxies in the field of
Abell 1689. Using a complete sample of 151 background galaxies we measure the
cluster mass profile. We find that the total projected mass interior to
0.25h^(-1)Mpc is (0.48 +/- 0.16) * 10^(15)h^(-1) solar masses, where our error
budget includes uncertainties from the photometric redshift determination, the
uncertainty in the off-set calibration and finite sampling. This result is in
good agreement with that found by number count and shear-based methods and
provides a new and independent method to determine cluster masses.Comment: 13 pages, 10 figures. Submitted to MNRAS (10/99); Replacement with 1
page extra text inc. new section, accepted by MNRA
LWR core thermal-hydraulic analysis : assessment and comparison of the range of applicability of the codes COBRA IIIC/MIT and COBRA IV-I
Based on the M.S. thesis of the first author in the M.I.T. Dept. of Nuclear Engineering, 1978.This report summarizes the result of studies concerning the range of
applicability of two subchannel codes for a variety of thermal-hydraulic
analyses. The subchannel codes used include COBRA IIIC/MIT and the
newly developed code, COBRA IV-I which is considered the benchmark
code for the purpose of this report. Hence, through the comparisons
of the two codes, the applicability of COBRA IIIC/MIT is assessed
with respect to COBRA IV-I.
A variety of LWR thermal-hydraulic analyses are examined. Results
of both codes for steady-state and transient analyses are compared.
The types of analysis include BWR bundle-wide analysis, a simulated rod
ejection and loss of flow transients for a PWR. The system parameters
were changed drastically to reach extreme coolant conditions, thereby
establishing upper limits.
In addition to these cases, both codes are compared to experimental
data including measured coolant exit temperatures in a core, interbundle
mixing for inlet flow upset cases and two-subchannel flow blockage
measurements.
The comparisons showed that, overall, COBRA IIIC/MIT predicts most
thermal-hydraulic parameters quite satisfactorily. However, the clad
temperature predictions differ from those calculated by COBRA IV-I and
appear to be in error. These incorrect predictions are caused by the
discontinuity in the heat transfer coefficient at the start of boiling.
Hence, if the heat transfer package is corrected, then COBRA IIIC/MIT
should be just as applicable as the implicit option of COBRA IV-I.Final report for research project sponsored by Long Island Lighting Company and others under the MIT Energy Laboratory Electric Utility Program
Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
We discuss 2d duality transformations in the classical AdS5 x S5 superstring
and their effect on the integrable structure. T-duality along four directions
in Poincare parametrization of AdS5 maps the bosonic part of the superstring
action into itself. On bosonic level, this duality may be understood as a
symmetry of the first-order (phase space) system of equations for the coset
components of the current. The associated Lax connection is invariant modulo
the action of an so(2,4)-automorphism. We then show that this symmetry extends
to the full superstring, provided one supplements the transformation of the
bosonic components of the current with a transformation on the fermionic ones.
At the level of the action, this symmetry can be seen by combining the bosonic
duality transformation with a similar one applied to part of the fermionic
superstring coordinates. As a result, the full superstring action is mapped
into itself, albeit in a different kappa-symmetry gauge. One implication is
that the dual model has the same superconformal symmetry group as the original
one, and this may be seen as a consequence of the integrability of the
superstring. The invariance of the Lax connection under the duality implies a
map on the full set of conserved charges that should interchange some of the
Noether (local) charges with hidden (non-local) ones and vice versa.Comment: V2: 33 pages, clarifications added and minor corrections, replaced
with version to appear in PR
Improved test of Lorentz Invariance in Electrodynamics using Rotating Cryogenic Sapphire Oscillators
We present new results from our test of Lorentz invariance, which compares
two orthogonal cryogenic sapphire microwave oscillators rotating in the lab. We
have now acquired over 1 year of data, allowing us to avoid the short data set
approximation (less than 1 year) that assumes no cancelation occurs between the
and parameters from the photon
sector of the standard model extension. Thus, we are able to place independent
limits on all eight and parameters.
Our results represents up to a factor of 10 improvement over previous non
rotating measurements (which independently constrained 7 parameters), and is a
slight improvement (except for ) over results from
previous rotating experiments that assumed the short data set approximation.
Also, an analysis in the Robertson-Mansouri-Sexl framework allows us to place a
new limit on the isotropy parameter of
, an improvement of a factor of 2.Comment: Accepted for publication in Phys. Rev.
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