48,700 research outputs found
MULTIPAC, a multiple pool processor and computer for a spacecraft central data system, phase 2 Final report
MULTIPAC, multiple pool processor and computer for deep space probe central data syste
Method for comparing finite temperature field theory results with lattice data
The values of the presently available truncated perturbative expressions for
the pressure of the quark-gluon plasma at finite temperatures and finite
chemical potential are trustworthy only at very large energies. When used down
to temperatures close to the critical one Tc, they suffer from large
uncertainties due to the renormalization scale freedom. In order to reduce
these uncertainties, we perform resummations of the pressure by applying
Pade-related approximants to the available perturbation series for the
short-distance and for the long-distance contributions. In the two
contributions, we use two different renormalization scales which reflect
different energy regions contributing to the different parts. Application of
the obtained expressions at low temperatures is made possible by replacing the
usual four-loop barMS beta function for alpha_s by its Borel-Pade resummation,
eliminating thus the unphysical Landau singularities of alpha_s. The obtained
results are remarkably insensitive to the chosen renormalization scale and can
be compared with lattice results -- for the pressure (p), the chemical
potential contribution (delta p) to the pressure, and various susceptibilities.
A good qualitative agreement with the lattice results is revealed down to
temperatures close to Tc.Comment: 24 pages, 17 figures, revtex4; Ref.[25] is new; the ordering of the
references and grammatic and stylistic errors are corrected - version as it
appears in PR
Gamma-ray halos as a measure of intergalactic magnetic fields: a classical moment problem
The presence of weak intergalactic magnetic fields can be studied by their
effect on electro-magnetic cascades induced by multi-TeV gamma-rays in the
cosmic radiation background. Small deflections of secondary electrons and
positrons as the cascade develops extend the apparent size of the emission
region of distant TeV gamma-ray sources. These gamma-ray halos can be
resolvable in imaging atmospheric Cherenkov telescopes and serve as a measure
of the intergalactic magnetic field strength and coherence length. We present a
method of calculating the gamma-ray halo for isotropically emitting sources by
treating magnetic deflections in the cascade as a diffusion process. With this
ansatz the moments of the halo follow from a set of simple diffusion-cascade
equations. The reconstruction of the angular distribution is then equivalent to
a classical moment problem. We present a simple solution using Pade
approximations of the moment's generating function.Comment: 12 pages, 6 figure
Gradual diffusion and punctuated phase space density enhancements of highly relativistic electrons: Van Allen Probes observations
Abstract The dual-spacecraft Van Allen Probes mission has provided a new window into mega electron volt (MeV) particle dynamics in the Earth\u27s radiation belts. Observations (up to E ~10 MeV) show clearly the behavior of the outer electron radiation belt at different timescales: months-long periods of gradual inward radial diffusive transport and weak loss being punctuated by dramatic flux changes driven by strong solar wind transient events. We present analysis of multi-MeV electron flux and phase space density (PSD) changes during March 2013 in the context of the first year of Van Allen Probes operation. This March period demonstrates the classic signatures both of inward radial diffusive energization and abrupt localized acceleration deep within the outer Van Allen zone (L ~4.0 ± 0.5). This reveals graphically that both competing mechanisms of multi-MeV electron energization are at play in the radiation belts, often acting almost concurrently or at least in rapid succession. Key Points Clear observations to higher energy than ever before Precise detection of where and how acceleration takes place Provides new eyes on megaelectron Volt
Critical renormalized coupling constants in the symmetric phase of the Ising models
Using a novel finite size scaling Monte Carlo method, we calculate the four,
six and eight point renormalized coupling constants defined at zero momentum in
the symmetric phase of the three dimensional Ising system. The results of the
2D Ising system that were directly measured are also reported. Our values of
the six and eight point coupling constants are significantly different from
those obtained from other methods.Comment: 7 pages, 2 figure
A hybrid memory kernel approach for condensed phase non-adiabatic dynamics
The spin-boson model is a simplified Hamiltonian often used to study
non-adiabatic dynamics in large condensed phase systems, even though it has not
been solved in a fully analytic fashion. Herein, we present an exact analytic
expression for the dynamics of the spin-boson model in the infinitely slow bath
limit and generalize it to approximate dynamics for faster baths. We achieve
the latter by developing a hybrid approach that combines the exact slow-bath
result with the popular NIBA method to generate a memory kernel that is
formally exact to second order in the diabatic coupling but also contains
higher-order contributions approximated from the second order term alone. This
kernel has the same computational complexity as NIBA, but is found to yield
dramatically superior dynamics in regimes where NIBA breaks down---such as
systems with large diabatic coupling or energy bias. This indicates that this
hybrid approach could be used to cheaply incorporate higher order effects into
second order methods, and could potentially be generalized to develop alternate
kernel resummation schemes
Kinetic cross coupling between non-conserved and conserved fields in phase field models
We present a phase field model for isothermal transformations of two
component alloys that includes Onsager kinetic cross coupling between the
non-conserved phase field and the conserved concentration field. We also
provide the reduction of the phase field model to the corresponding macroscopic
description of the free boundary problem. The reduction is given in a general
form. Additionally we use an explicit example of a phase field model and check
that the reduced macroscopic description, in the range of its applicability, is
in excellent agreement with direct phase field simulations. The relevance of
the newly introduced terms to solute trapping is also discussed
Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
We perform various resummations of the hot QCD pressure based on the actual
knowledge of the perturbation series which includes the g**6 ln(1/g) and part
of the g**6 terms. Resummations are performed separately for the short- and
long-distance parts. The g**6 term of the short-distance pressure is estimated
on the basis on the known UV cutoff dependence of the long-distance part. The
resummations are of the Pade and Borel-Pade type, using in addition the
(Pade-)resummed expression for the squared screening mass mE**2 and for the
EQCD coupling parameter gE**2. The resummed results depend weakly on the yet
unknown g**6 terms and on the the short-range renormalization scale, at all
temperatures. The dependence on the long-range renormalization scale is
appreciable at low temperatures T < 1 GeV. The resulting dependence of pressure
on temperature T is compatible with the results of the lattice calculations at
low T.Comment: 25 pages, 15 double figures, 4 single figures, revtex4; thoroughly
extended analysis; more figures; conclusions more clearly formulated; new
references added; title slightly changed; accepted for publication in
Phys.Rev.
Pade approximation of the S-matrix as a way of locating quantum resonances and bound states
It is shown that the spectral points (bound states and resonances) generated
by a central potential of a single-channel problem, can be found using rational
parametrization of the S-matrix. To achieve this, one only needs values of the
S-matrix along the real positive energy axis. No calculations of the S-matrix
at complex energies or a complex rotation are necessary. The proposed method is
therefore universal in that it is applicable to any potential (local,
non-local, discontinuous, etc.) provided that there is a way of obtaining the
S-matrix (or scattering phase-shifts) at real collision energies. Besides this,
combined with any method that extracts the phase-shifts from the scattering
data, the proposed rational parametrization technique would be able to do the
spectral analysis using the experimental data.Comment: 20 pages, 6 figure
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