16,506 research outputs found
Making electromagnetic wavelets
Electromagnetic wavelets are constructed using scalar wavelets as
superpotentials, together with an appropriate polarization. It is shown that
oblate spheroidal antennas, which are ideal for their production and reception,
can be made by deforming and merging two branch cuts. This determines a unique
field on the interior of the spheroid which gives the boundary conditions for
the surface charge-current density necessary to radiate the wavelets. These
sources are computed, including the impulse response of the antenna.Comment: 29 pages, 4 figures; minor corrections and addition
A Weak Gravitational Lensing Analysis of Abell 2390
We report on the detection of dark matter in the cluster Abell 2390 using the
weak gravitational distortion of background galaxies. We find that the cluster
light and total mass distributions are quite similar over an angular scale of
\simeq 7^\prime \;(1 \Mpc). The cluster galaxy and mass distributions are
centered on the cluster cD galaxy and exhibit elliptical isocontours in the
central \simeq 2^\prime \; (280 \kpc). The major axis of the ellipticity is
aligned with the direction defined by the cluster cD and a ``straight arc''
located to the northwest. We determined the radial
mass-to-light profile for this cluster and found a constant value of , which is consistent with other published
determinations. We also compared our weak lensing azimuthally averaged radial
mass profile with a spherical mass model proposed by the CNOC group on the
basis of their detailed dynamical study of the cluster. We find good agreement
between the two profiles, although there are weak indications that the CNOC
density profile may be falling more steeply for
(420\kpc).Comment: 14 pages, latex file. Postscript file and one additional figure are
available at
ftp://magicbean.berkeley.edu/pub/squires/a2390/massandlight.ps.g
Induced pseudoscalar form factor of the nucleon at two-loop order in chiral perturbation theory
We calculate the imaginary part of the induced pseudoscalar form factor of
the nucleon in the framework of two-loop heavy baryon chiral
perturbation theory. The effect of the calculated three-pion continuum on the
pseudoscalar constant measurable in
ordinary muon capture turns out to be negligibly small.
Possible contributions from counterterms at two-loop order are numerically
smaller than the uncertainty of the dominant pion-pole term proportional to the
pion-nucleon coupling constant . We conclude that a
sufficiently accurate representation of the induced pseudoscalar form factor of
the nucleon at low momentum transfers is given by the sum of the pion-pole
term and the Adler-Dothan-Wolfenstein term: , with fm
the axial mean square radius of the nucleon.Comment: 6 pages, 2 figures, accepted for publication in Physical Review
Microscopic optical potential from chiral nuclear forces
The energy- and density-dependent single-particle potential for nucleons is
constructed in a medium of infinite isospin-symmetric nuclear matter starting
from realistic nuclear interactions derived within the framework of chiral
effective field theory. The leading-order terms from both two- and
three-nucleon forces give rise to real, energy-independent contributions to the
nucleon self-energy. The Hartree-Fock contribution from the two-nucleon force
is attractive and strongly momentum dependent, in contrast to the contribution
from the three-nucleon force which provides a nearly constant repulsive mean
field that grows approximately linearly with the nuclear density. Together, the
leading-order perturbative contributions yield an attractive single-particle
potential that is however too weak compared to phenomenology. Second-order
contributions from two- and three-body forces then provide the additional
attraction required to reach the phenomenological depth. The imaginary part of
the optical potential, which is positive (negative) for momenta below (above)
the Fermi momentum, arises at second-order and is nearly inversion-symmetric
about the Fermi surface when two-nucleon interactions alone are present. The
imaginary part is strongly absorptive and requires the inclusion of an
effective mass correction as well as self-consistent single-particle energies
to attain qualitative agreement with phenomenology.Comment: 12 pages, 7 figures, added references, corrected typo
Three episodes of jet activity in the FRII radio galaxy B0925+420
We present Very Large Array images of a "Double-Double Radio Galaxy", a class
of objects in which two pairs of lobes are aligned either side of the nucleus.
In this object, B0925+420, we discover a third pair of lobes, close to the core
and again in alignment with the other lobes. This first-known "Triple-Double"
object strongly increases the likelihood that these lobes represent mutiple
episodes of jet activity, as opposed to knots in an underlying jet. We model
the lobes in terms of their dynamical evolution. We find that the inner pair of
lobes is consistent with the outer pair having been displaced buoyantly by the
ambient medium. The middle pair of lobes is more problematic - to the extent
where an alternative model interpreting the middle and inner "lobes" as
additional bow shocks within the outer lobes may be more appropriate - and we
discuss the implications of this on our understanding of the density of the
ambient medium.Comment: Accepted for publication in MNRAS. Figure 2 is best viewed in colou
Double-double radio galaxies: further insights into the formation of the radio structures
Double-double radio galaxies (DDRGs) offer a unique opportunity for us to
study multiple episodes of jet activity in large-scale radio sources. We use
radio data from the Very Large Array and the literature to model two DDRGs,
B1450+333 and B1834+620, in terms of their dynamical evolution. We find that
the standard Fanaroff-Riley II model is able to explain the properties of the
two outer lobes of each source, whereby the lobes are formed by ram-pressure
balance of a shock at the end of the jet with the surrounding medium. The inner
pairs of lobes, however, are not well-described by the standard model. Instead
we interpret the inner lobes as arising from the emission of relativistic
electrons within the outer lobes, which are compressed and re-accelerated by
the bow-shock in front of the restarted jets and within the outer lobes. The
predicted rapid progression of the inner lobes through the outer lobes requires
the eventual development of a hotspot at the edge of the outer lobe, causing
the DDRG ultimately to resemble a standard Fanaroff-Riley II radio galaxy. This
may suggest that DDRGs are a brief, yet normal, phase of the evolution of
large-scale radio galaxies.Comment: Accepted for publication in MNRAS. 17 pages; 15 figures, 2 of which
are in colou
Effective Fokker-Planck Equation for Birhythmic Modified van der Pol Oscillator
We present an explicit solution based on the phase-amplitude approximation of
the Fokker-Planck equation associated with the Langevin equation of the
birhythmic modified van der Pol system. The solution enables us to derive
probability distributions analytically as well as the activation energies
associated to switching between the coexisting different attractors that
characterize the birhythmic system. Comparing analytical and numerical results
we find good agreement when the frequencies of both attractors are equal, while
the predictions of the analytic estimates deteriorate when the two frequencies
depart. Under the effect of noise the two states that characterize the
birhythmic system can merge, inasmuch as the parameter plane of the birhythmic
solutions is found to shrink when the noise intensity increases. The solution
of the Fokker-Planck equation shows that in the birhythmic region, the two
attractors are characterized by very different probabilities of finding the
system in such a state. The probability becomes comparable only for a narrow
range of the control parameters, thus the two limit cycles have properties in
close analogy with the thermodynamic phases
Wavelets and Quantum Algebras
Wavelets, known to be useful in non-linear multi-scale processes and in
multi-resolution analysis, are shown to have a q-deformed algebraic structure.
The translation and dilation operators of the theory associate with any scaling
equation a non-linear, two parameter algebra. This structure can be mapped onto
the quantum group in one limit, and approaches a Fourier series
generating algebra, in another limit. A duality between any scaling function
and its corresponding non-linear algebra is obtained. Examples for the Haar and
B-wavelets are worked out in detail.Comment: 27 pages Latex, 3 figure p
Global stability analysis of birhythmicity in a self-sustained oscillator
We analyze global stability properties of birhythmicity in a self-sustained
system with random excitations. The model is a multi-limit cycles variation of
the van der Pol oscillatorintroduced to analyze enzymatic substrate reactions
in brain waves. We show that the two frequencies are strongly influenced by the
nonlinear coefficients and . With a random excitation, such as
a Gaussian white noise, the attractor's global stability is measured by the
mean escape time from one limit-cycle. An effective activation energy
barrier is obtained by the slope of the linear part of the variation of the
escape time versus the inverse noise-intensity 1/D. We find that the
trapping barriers of the two frequencies can be very different, thus leaving
the system on the same attractor for an overwhelming time. However, we also
find that the system is nearly symmetric in a narrow range of the parameters.Comment: 17 pages, 8 figures, to appear on Choas, 201
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