8,170 research outputs found
Non-linear conformally invariant generalization of the Poisson equation to D>2 dimensions
I propound a non-linear generalization of the Poisson equation describing a
"medium" in D dimensions with a "dielectric constant" proportional to the field
strength to the power D-2. It is the only conformally invariant scalar theory
that is second order, and in which the scalar couples to the sources
via a contact term. The symmetry is used to generate
solutions for the field for some non-trivial configurations (e.g. for two
oppositely charged points). Systems comprising N point charges afford further
application of the symmetry. For these I derive e.g. exact expressions for the
following quantities: the general two-point-charge force; the energy function
and the forces in any three-body configuration with zero total charge; the
few-body force for some special configurations; the virial theorem for an
arbitrary, bound, many-particle system relating the time-average kinetic energy
to the particle charges. Possible connections with an underlying conformal
quantum field theory are mentioned.Comment: Revtex, 16 pages. To be published in Phys. Rev.
Status of the HIE-ISOLDE project at CERN
The HIE-ISOLDE project represents a major upgrade of the ISOLDE nuclear
facility with a mandate to significantly improve the quality and increase the
intensity and energy of radioactive nuclear beams produced at CERN. The project
will expand the experimental nuclear physics programme at ISOLDE by focusing on
an upgrade of the existing Radioactive ion beam EXperiment (REX) linac with a
40 MV superconducting linac comprising thirty-two niobium-on-copper
sputter-coated quarter-wave resonators housed in six cryomodules. The new linac
will raise the energy of post-accelerated beams from 3 MeV/u to over 10 MeV/u.
The upgrade will be staged to first deliver beam energies of 5.5 MeV/u using
two high- cryomodules placed downstream of REX, before the energy
variable section of the existing linac is replaced with two low-
cryomodules and two additional high- cryomodules are installed to attain
over 10 MeV/u with full energy variability above 0.45 MeV/u. An overview of the
project including a status summary of the different R&D activities and the
schedule will outlined.Comment: 7 pages, 12 figures, submitted to the Heavy Ion Accelerator
Technology conference (HIAT) 2012, in Chicag
Nuclear break-up of 11Be
The break-up of 11Be was studied at 41AMeV using a secondary beam of 11Be
from the GANIL facility on a 48Ti target by measuring correlations between the
10Be core, the emitted neutrons and gamma rays. The nuclear break-up leading to
the emission of a neutron at large angle in the laboratory frame is identified
with the towing mode through its characteristic n-fragment correlation. The
experimental spectra are compared with a model where the time dependent
Schrodinger equation (TDSE) is solved for the neutron initially in the 11 Be. A
good agreement is found between experiment and theory for the shapes of neutron
experimental energies and angular distributions. The spectroscopic factor of
the 2s orbital is tentatively extracted to be 0.46+-0.15. The neutron emission
from the 1p and 1d orbitals is also studied
Negative Moments of Currents in Percolating Resistor Networks
It has been shown that the positive-integer moments of the current distribution in a percolating resistor network theoretically suffice to determine that distribution and hence all of its moments. We discuss the inherent numerical and analytical difficulties involved when the negative moments are reconstructed from the positive ones
Probing the 6He halo structure with elastic and inelastic proton scattering
Proton elastic scattering and inelastic scattering to the first excited state
of 6He have been measured over a wide angular range using a 40.9A MeV 6He beam.
The data have been analyzed with a fully microscopic model of proton-nucleus
scattering using 6He wave functions generated from large space shell model
calculations. The inelastic scattering data show a remarkable sensitivity to
the halo structure of 6He.Comment: 9 pages, 3 figures. RevTeX. Replaced figure 3 with updated figur
Charge and current-sensitive preamplifiers for pulse shape discrimination techniques with silicon detectors
New charge and current-sensitive preamplifiers coupled to silicon detectors
and devoted to studies in nuclear structure and dynamics have been developed
and tested. For the first time shapes of current pulses from light charged
particles and carbon ions are presented. Capabilities for pulse shape
discrimination techniques are demonstrated.Comment: 14 pages, 12 figures, to be published in Nucl. Inst. Meth.
Chord distribution functions of three-dimensional random media: Approximate first-passage times of Gaussian processes
The main result of this paper is a semi-analytic approximation for the chord
distribution functions of three-dimensional models of microstructure derived
from Gaussian random fields. In the simplest case the chord functions are
equivalent to a standard first-passage time problem, i.e., the probability
density governing the time taken by a Gaussian random process to first exceed a
threshold. We obtain an approximation based on the assumption that successive
chords are independent. The result is a generalization of the independent
interval approximation recently used to determine the exponent of persistence
time decay in coarsening. The approximation is easily extended to more general
models based on the intersection and union sets of models generated from the
iso-surfaces of random fields. The chord distribution functions play an
important role in the characterization of random composite and porous
materials. Our results are compared with experimental data obtained from a
three-dimensional image of a porous Fontainebleau sandstone and a
two-dimensional image of a tungsten-silver composite alloy.Comment: 12 pages, 11 figures. Submitted to Phys. Rev.
Transport properties of heterogeneous materials derived from Gaussian random fields: Bounds and Simulation
We investigate the effective conductivity () of a class of
amorphous media defined by the level-cut of a Gaussian random field. The three
point solid-solid correlation function is derived and utilised in the
evaluation of the Beran-Milton bounds. Simulations are used to calculate
for a variety of fields and volume fractions at several different
conductivity contrasts. Relatively large differences in are observed
between the Gaussian media and the identical overlapping sphere model used
previously as a `model' amorphous medium. In contrast shows little
variability between different Gaussian media.Comment: 15 pages, 14 figure
Multifractal Dimensions for Branched Growth
A recently proposed theory for diffusion-limited aggregation (DLA), which
models this system as a random branched growth process, is reviewed. Like DLA,
this process is stochastic, and ensemble averaging is needed in order to define
multifractal dimensions. In an earlier work [T. C. Halsey and M. Leibig, Phys.
Rev. A46, 7793 (1992)], annealed average dimensions were computed for this
model. In this paper, we compute the quenched average dimensions, which are
expected to apply to typical members of the ensemble. We develop a perturbative
expansion for the average of the logarithm of the multifractal partition
function; the leading and sub-leading divergent terms in this expansion are
then resummed to all orders. The result is that in the limit where the number
of particles n -> \infty, the quenched and annealed dimensions are {\it
identical}; however, the attainment of this limit requires enormous values of
n. At smaller, more realistic values of n, the apparent quenched dimensions
differ from the annealed dimensions. We interpret these results to mean that
while multifractality as an ensemble property of random branched growth (and
hence of DLA) is quite robust, it subtly fails for typical members of the
ensemble.Comment: 82 pages, 24 included figures in 16 files, 1 included tabl
Field Theory And Second Renormalization Group For Multifractals In Percolation
The field-theory for multifractals in percolation is reformulated in such a
way that multifractal exponents clearly appear as eigenvalues of a second
renormalization group. The first renormalization group describes geometrical
properties of percolation clusters, while the second-one describes electrical
properties, including noise cumulants. In this context, multifractal exponents
are associated with symmetry-breaking fields in replica space. This provides an
explanation for their observability. It is suggested that multifractal
exponents are ''dominant'' instead of ''relevant'' since there exists an
arbitrary scale factor which can change their sign from positive to negative
without changing the Physics of the problem.Comment: RevTex, 10 page
- âŠ