747 research outputs found
Universal trapping scaling on the unstable manifold for a collisionless electrostatic mode
An amplitude equation for an unstable mode in a collisionless plasma is
derived from the dynamics on the two-dimensional unstable manifold of the
equilibrium. The mode amplitude decouples from the phase due to the
spatial homogeneity of the equilibrium, and the resulting one-dimensional
dynamics is analyzed using an expansion in . As the linear growth rate
vanishes, the expansion coefficients diverge; a rescaling
of the mode amplitude absorbs these
singularities and reveals that the mode electric field exhibits trapping
scaling as . The dynamics for
depends only on the phase where is the derivative of the dielectric as
.Comment: 11 pages (Latex/RevTex), 2 figures available in hard copy from the
Author ([email protected]); paper accepted by Physical Review
Letter
Parity Violation in Neutron Capture Reactions
In the last decade, the scattering of polarized neutrons on compound nucleus
resonances proved to be a powerful experimental technique for probing nuclear
parity violation. Longitudinal analyzing powers in neutron transmission
measurements on p-wave resonances in nuclei such as La and Th
were found to be as large as 10%. Here we examine the possibilities of carrying
out a parallel program to measure asymmetries in the ) reaction on
these same compound nuclear resonances. Symmetry-violating ) studies
can also show asymmetries as large as 10%, and have the advantage over
transmission experiments of allowing parity-odd asymmetries in several
different gamma-decay branches from the same resonance. Thus, studies of parity
violation in the reaction using high efficiency germanium
detectors at the Los Alamos Lujan facility, for example, could determine the
parity-odd nucleon-nucleon matrix elements in complex nuclei with high
accuracy. Additionally, simultaneous studies of the E1 and matrix
elements invol ved in these decays could be used to help constrain the
statistical theory of parity non-conservation in compound nuclei.Comment: 10 pages, 1 figur
On asymptotic nonlocal symmetry of nonlinear Schr\"odinger equations
A concept of asymptotic symmetry is introduced which is based on a definition
of symmetry as a reducibility property relative to a corresponding invariant
ansatz. It is shown that the nonlocal Lorentz invariance of the free-particle
Schr\"odinger equation, discovered by Fushchych and Segeda in 1977, can be
extended to Galilei-invariant equations for free particles with arbitrary spin
and, with our definition of asymptotic symmetry, to many nonlinear
Schr\"odinger equations. An important class of solutions of the free
Schr\"odinger equation with improved smoothing properties is obtained
Bifurcations in the wake of a thick circular disk
Using DNS, we investigate the dynamics in the wake of a circular disk of aspect ratio χ = d/w = 3(where d is the diameter and w the thickness) embedded in a uniform flow of magnitude U0 perpendicular to its symmetry axis. As the Reynolds number Re = U0d/ν is increased, the flow is shown to experience an original series of bifurcations leading to chaos. The range Re ∈ [150, 218] is analysed in detail. In this range, five different non-axisymmetric regimes are successively encountered, including states similar to those previously identified in the flow past a sphere or an infinitely thin disk, as well as a new regime characterised by the presence of two distinct frequencies. A theoretical model based on the theory of mode interaction with symmetries, previously introduced to explain the bifurcations in the flow past a sphere or an infinitely thin disk (Fabre et al. in Phys Fluids 20:051702, 2008), is shown to explain correctly all these results. Higher values of the Reynolds number, up to 270, are also considered. Results indicate that the flow encounters at least four additional bifurcations before reaching a chaotic state
Parity Nonconservation in Neutron Resonances in 133Cs
Spatial parity nonconservation (PNC) has been studied in the compound-nuclear states of 134Cs by measuring the helicity dependence of the neutron total cross section. Transmission measurements on a thick 133Cs target were performed by the time-of-flight method at the Manuel Lujan Neutron Scattering Center with a longitudinally polarized neutron beam in the energy range from 5 to 400 eV. A total of 28 new p-wave resonances were found, their neutron widths determined, and the PNC longitudinal asymmetries of the resonance cross sections measured. The value obtained for the root-mean-square PNC element M=(0.06-0.02+0.25) meV in 133Cs is the smallest among all targets studied. This value corresponds to a weak spreading width Γw=(0.006-0.003+0.154)×10-7 eV
Book Reviews
Wesleyan Perspectives on the New Creation
M. Douglas Meeks, ed.
Nashville: Kingswood,
2004, 200 pp., paper, 2004, 25.00
Reviewed by Elaine A. Heath
The Evangelical Moment: The Promise of an American Religion
By Kenneth J. Collins
Grand Rapids: Baker Academic Press
2005, 288 pp., paper, 22.99
Reviewed by Nathan Crawford
Theology as History and Hermeneutics: A Post-Critical Evangelical Conversation with Contemporary Theology
Laurence W. Wood
Lexington: Emeth Publisher
2004, 261 pp.
Reviewed by Nathan Crawford
Resistance and Theological Ethics
Ronald H. Stone and Robert L. Stivers, eds.
Lanham, Maryland: Roman & Littlefield Publishers
2004, ri, 334 pp. paper, 28.95
Reviewed by Joerg Rieger
The Ripple Church: Multiply Your Ministry by Parenting New Churches
Phil Stevenson
Indianapolis, IN: Wesleyan Publishing House
2004. pp. 186, 35.00
Reviewed by John N. Oswalt
God is Not Religious, Nice, One of Us, an American, a Capitalist
D. Brent Laytham, ed.
Grand Rapids, Michigan: Press.
2004, 152 pp., paper, 19.95
Reviewed by Charles M. Woo
Parametrically Excited Surface Waves: Two-Frequency Forcing, Normal Form Symmetries, and Pattern Selection
Motivated by experimental observations of exotic standing wave patterns in
the two-frequency Faraday experiment, we investigate the role of normal form
symmetries in the pattern selection problem. With forcing frequency components
in ratio m/n, where m and n are co-prime integers, there is the possibility
that both harmonic and subharmonic waves may lose stability simultaneously,
each with a different wavenumber. We focus on this situation and compare the
case where the harmonic waves have a longer wavelength than the subharmonic
waves with the case where the harmonic waves have a shorter wavelength. We show
that in the former case a normal form transformation can be used to remove all
quadratic terms from the amplitude equations governing the relevant resonant
triad interactions. Thus the role of resonant triads in the pattern selection
problem is greatly diminished in this situation. We verify our general results
within the example of one-dimensional surface wave solutions of the
Zhang-Vinals model of the two-frequency Faraday problem. In one-dimension, a
1:2 spatial resonance takes the place of a resonant triad in our investigation.
We find that when the bifurcating modes are in this spatial resonance, it
dramatically effects the bifurcation to subharmonic waves in the case of
forcing frequencies are in ratio 1/2; this is consistent with the results of
Zhang and Vinals. In sharp contrast, we find that when the forcing frequencies
are in ratio 2/3, the bifurcation to (sub)harmonic waves is insensitive to the
presence of another spatially-resonant bifurcating mode.Comment: 22 pages, 6 figures, late
Synchronization in populations of globally coupled oscillators with inertial effects
A model for synchronization of globally coupled phase oscillators including
``inertial'' effects is analyzed. In such a model, both oscillator frequencies
and phases evolve in time. Stationary solutions include incoherent
(unsynchronized) and synchronized states of the oscillator population. Assuming
a Lorentzian distribution of oscillator natural frequencies, , both
larger inertia or larger frequency spread stabilize the incoherent solution,
thereby making harder to synchronize the population. In the limiting case
, the critical coupling becomes independent of
inertia. A richer phenomenology is found for bimodal distributions. For
instance, inertial effects may destabilize incoherence, giving rise to
bifurcating synchronized standing wave states. Inertia tends to harden the
bifurcation from incoherence to synchronized states: at zero inertia, this
bifurcation is supercritical (soft), but it tends to become subcritical (hard)
as inertia increases. Nonlinear stability is investigated in the limit of high
natural frequencies.Comment: Revtex, 36 pages, submit to Phys. Rev.
Characterisation of Potential Landing Sites for the European Space Agency's Lunar Lander Project
This article describes the characterization activities of the landing sites
currently envisaged for the Lunar Lander mission of the European Space Agency.
These sites have been identified in the South Pole Region (-85{\deg} to
-90{\deg} latitude) based on favourable illumination conditions, which make it
possible to have a long-duration mission with conventional power and thermal
control subsystems, capable of enduring relatively short periods of darkness
(in the order of tens of hours), instead of utilising Radioisotope Heating
Units. The illumination conditions are simulated at the potential landing sites
based on topographic data from the Lunar Orbiter Laser Altimeter (LOLA), using
three independent tools. Risk assessment of the identified sites is also being
performed through independent studies. Long baseline slopes are assessed based
on LOLA, while craters and boulders are detected both visually and using
computer tools in Lunar Reconnaissance Orbiter Camera (LROC) images, down to a
size of less than 2 m, and size-frequency distributions are generated. Shadow
hazards are also assessed via LROC images. The preliminary results show that
areas with quasi-continuous illumination of several months exist, but their
size is small (few hundred metres); the duration of the illumination period
drops quickly to less than one month outside the areas, and some areas present
gaps with short illumination periods. Concerning hazard distributions, 50 m
slopes are found to be shallow (few degrees) based on LOLA, whereas at the
scale of the lander footprint (~5 m) they are mostly dominated by craters,
expected to be mature (from geological context) and shallow (~11{\deg}). The
preliminary conclusion is that the environment at the prospective landing sites
is within the capabilities of the Lander design
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