4,625 research outputs found
Effect of geometry on the nose-region flow-field of shuttle entry-configurations
In order to determine the convective heat-transfer distribution for the nose region of the space shuttle entry configurations, a three-dimensional flow-field is described which may include extensive regions of separated flow. Because of the complexity of the flow field for the nose region, experimental data are needed to define the relation between the nose geometry and the resultant flow field. According to theoretical solutions of the three-dimensional boundary layer, the boundary layer separates from the leeward generator of a blunted cone at an alpha equal to the cone half-angle. Separation results from the transverse pressure gradient, i.e., the velocity derivative due to crossflow. The boundary layer limiting streamlines converge toward the singular point of sep aration. The separated region is bounded by an ordinary line of separation
Atomic Focusing by Quantum Fields: Entanglement Properties
The coherent manipulation of the atomic matter waves is of great interest
both in science and technology. In order to study how an atom optic device
alters the coherence of an atomic beam, we consider the quantum lens proposed
by Averbukh et al [1] to show the discrete nature of the electromagnetic field.
We extend the analysis of this quantum lens to the study of another essentially
quantum property present in the focusing process, i.e., the atom-field
entanglement, and show how the initial atomic coherence and purity are affected
by the entanglement. The dynamics of this process is obtained in closed form.
We calculate the beam quality factor and the trace of the square of the reduced
density matrix as a function of the average photon number in order to analyze
the coherence and purity of the atomic beam during the focusing process.Comment: 10 pages, 4 figure
Non-universal behavior for aperiodic interactions within a mean-field approximation
We study the spin-1/2 Ising model on a Bethe lattice in the mean-field limit,
with the interaction constants following two deterministic aperiodic sequences:
Fibonacci or period-doubling ones. New algorithms of sequence generation were
implemented, which were fundamental in obtaining long sequences and, therefore,
precise results. We calculate the exact critical temperature for both
sequences, as well as the critical exponent , and . For
the Fibonacci sequence, the exponents are classical, while for the
period-doubling one they depend on the ratio between the two exchange
constants. The usual relations between critical exponents are satisfied, within
error bars, for the period-doubling sequence. Therefore, we show that
mean-field-like procedures may lead to nonclassical critical exponents.Comment: 6 pages, 7 figures, to be published in Phys. Rev.
Pound-Rebka experiment and torsion in the Schwarzschild spacetime
We develop some ideas discussed by E. Schucking [arXiv:0803.4128] concerning
the geometry of the gravitational field. First, we address the concept
according to which the gravitational acceleration is a manifestation of the
spacetime torsion, not of the curvature tensor. It is possible to show that
there are situations in which the geodesic acceleration of a particle may
acquire arbitrary values, whereas the curvature tensor approaches zero. We
conclude that the spacetime curvature does not affect the geodesic
acceleration. Then we consider the the Pound-Rebka experiment, which relates
the time interval of two light signals emitted at a position
, to the time interval of the signals received at a
position , in a Schwarzschild type gravitational field. The experiment is
determined by four spacetime events. The infinitesimal vectors formed by these
events do not form a parallelogram in the (t,r) plane. The failure in the
closure of the parallelogram implies that the spacetime has torsion. We find
the explicit form of the torsion tensor that explains the nonclosure of the
parallelogram.Comment: 16 pages, two figures, one typo fixed, one paragraph added in section
Classical and quantum coupled oscillators: symplectic structure
We consider a set of N linearly coupled harmonic oscillators and show that
the diagonalization of this problem can be put in geometrical terms. The matrix
techniques developed here allowed for solutions in both the classical and
quantum regimes.Comment: 27 pages, 6 figure
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