2,579 research outputs found
Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
We consider the hydrodynamics of relativistic conformal field theories at
finite temperature. We show that the limit of slow motions of the ideal
hydrodynamics leads to the non-relativistic incompressible Euler equation. For
viscous hydrodynamics we show that the limit of slow motions leads to the
non-relativistic incompressible Navier-Stokes equation. We explain the physical
reasons for the reduction and discuss the implications. We propose that
conformal field theories provide a fundamental microscopic viewpoint of the
equations and the dynamics governed by them.Comment: 4 page
Supergravity Description of Non-BPS Branes
We construct supergravity solutions that correspond to N Dp-branes coinciding with \bar{N} \bar{Dp}-branes. We study the physical properties of the solutions and analyse the supergravity description of tachyon condensation. We construct an interpolation between the brane-antibrane solution and the Schwarzschild solution and discuss its possible application to the study of non-supersymmetric black holes
Supergravity and Light-Like Non-commutativity
We construct dual supergravity descriptions of field theories and little
string theories with light-like non-commutativity. The field theories are
realized on the world-volume of Dp branes with light-like NS field and M5
branes with light-like field. The little string theories are realized on
the world-volume of NS5 branes with light-like RR fields. The supergravity
backgrounds are closely related to the backgrounds. We discuss
the implications of these results. We also construct dual supergravity
descriptions of ODp theories realized on the worldvolume of NS5 branes with RR
backgrounds.Comment: Latex, 15 pages; ref. adde
Compact Measurement Station for Low Energy Proton Beams
A compact, remote controlled, cost efficient diagnostic station has been
developed to measure the charge, the profile and the emittance for low energy
proton beams. It has been installed and tested in the proton beam line of the
Project Prometheus at SANAEM of the Turkish Atomic Energy Authority.Comment: 7 pages 2 column
Multiple Instance Learning for Heterogeneous Images: Training a CNN for Histopathology
Multiple instance (MI) learning with a convolutional neural network enables
end-to-end training in the presence of weak image-level labels. We propose a
new method for aggregating predictions from smaller regions of the image into
an image-level classification by using the quantile function. The quantile
function provides a more complete description of the heterogeneity within each
image, improving image-level classification. We also adapt image augmentation
to the MI framework by randomly selecting cropped regions on which to apply MI
aggregation during each epoch of training. This provides a mechanism to study
the importance of MI learning. We validate our method on five different
classification tasks for breast tumor histology and provide a visualization
method for interpreting local image classifications that could lead to future
insights into tumor heterogeneity
Shocks and Universal Statistics in (1+1)-Dimensional Relativistic Turbulence
We propose that statistical averages in relativistic turbulence exhibit
universal properties. We consider analytically the velocity and temperature
differences structure functions in the (1+1)-dimensional relativistic
turbulence in which shock waves provide the main contribution to the structure
functions in the inertial range. We study shock scattering, demonstrate the
stability of the shock waves, and calculate the anomalous exponents. We comment
on the possibility of finite time blowup singularities.Comment: 37 pages, 7 figure
Eigenlogic: a Quantum View for Multiple-Valued and Fuzzy Systems
We propose a matrix model for two- and many-valued logic using families of
observables in Hilbert space, the eigenvalues give the truth values of logical
propositions where the atomic input proposition cases are represented by the
respective eigenvectors. For binary logic using the truth values {0,1} logical
observables are pairwise commuting projectors. For the truth values {+1,-1} the
operator system is formally equivalent to that of a composite spin 1/2 system,
the logical observables being isometries belonging to the Pauli group. Also in
this approach fuzzy logic arises naturally when considering non-eigenvectors.
The fuzzy membership function is obtained by the quantum mean value of the
logical projector observable and turns out to be a probability measure in
agreement with recent quantum cognition models. The analogy of many-valued
logic with quantum angular momentum is then established. Logical observables
for three-value logic are formulated as functions of the Lz observable of the
orbital angular momentum l=1. The representative 3-valued 2-argument logical
observables for the Min and Max connectives are explicitly obtained.Comment: 11 pages, 2 table
Fidelity for displaced squeezed states and the oscillator semigroup
The fidelity for two displaced squeezed thermal states is computed using the
fact that the corresponding density operators belong to the oscillator
semigroup.Comment: 3 pages, REVTEX, no figures, submitted to Journal of Physics A, May
5, 199
New relations for correlation functions in Navier-Stokes turbulence
We consider the steady-state statistics of turbulence sustained by a
large-scale force. The Kolmogorov flux relation (4/5-law) is shown to be a
particular case of the general relation on the current-density correlation
function. Using that, we derive an analog of the flux relation for compressible
turbulence and a new exact relation for incompressible turbulence.Comment: 11 page
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