44,436 research outputs found
Spectral multigrid methods for elliptic equations 2
A detailed description of spectral multigrid methods is provided. This includes the interpolation and coarse-grid operators for both periodic and Dirichlet problems. The spectral methods for periodic problems use Fourier series and those for Dirichlet problems are based upon Chebyshev polynomials. An improved preconditioning for Dirichlet problems is given. Numerical examples and practical advice are included
Interaction Between Ion Beams and Plasmas
Stability limits for ion acoustic waves due to interaction between low energy cesium ion beam and thermal cesium plasm
Pion Interferometry for a Granular Source of Quark-Gluon Plasma Droplets
We examine the two-pion interferometry for a granular source of quark-gluon
plasma droplets. The evolution of the droplets is described by relativistic
hydrodynamics with an equation of state suggested by lattice gauge results.
Pions are assumed to be emitted thermally from the droplets at the freeze-out
configuration characterized by a freeze-out temperature . We find that the
HBT radius decreases if the initial size of the droplets decreases.
On the other hand, depends on the droplet spatial distribution and
is relatively independent of the droplet size. It increases with an increase in
the width of the spatial distribution and the collective-expansion velocity of
the droplets. As a result, the value of can lie close to
for a granular quark-gluon plasma source. The granular model of the emitting
source may provide an explanation to the RHIC HBT puzzle and may lead to a new
insight into the dynamics of the quark-gluon plasma phase transition.Comment: 5 pages, 4 figure
Spin-transfer mechanism for magnon-drag thermopower
We point out a relation between the dissipative spin-transfer-torque
parameter and the contribution of magnon drag to the thermoelectric
power in conducting ferromagnets. Using this result we estimate in iron
at low temperatures, where magnon drag is believed to be the dominant
contribution to the thermopower. Our results may be used to determine
from magnon-drag-thermopower experiments, or, conversely, to infer the strength
of magnon drag via experiments on spin transfer
Supergiant Shells and Molecular Cloud Formation in the LMC
We investigate the influence of large-scale stellar feedback on the formation
of molecular clouds in the Large Magellanic Cloud (LMC). Examining the
relationship between HI and 12CO(J=1-0) in supergiant shells (SGSs), we find
that the molecular fraction in the total volume occupied by SGSs is not
enhanced with respect to the rest of the LMC disk. However, the majority of
objects (~70% by mass) are more molecular than their local surroundings,
implying that the presence of a supergiant shell does on average have a
positive effect on the molecular gas fraction. Averaged over the full SGS
sample, our results suggest that ~12-25% of the molecular mass in supergiant
shell systems was formed as a direct result of the stellar feedback that
created the shells. This corresponds to ~4-11% of the total molecular mass of
the galaxy. These figures are an approximate lower limit to the total
contribution of stellar feedback to molecular cloud formation in the LMC, and
constitute one of the first quantitative measurements of feedback-triggered
molecular cloud formation in a galactic system.Comment: 14 pages, 6 figures. Accepted for publication in Ap
Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
We perform a perturbative calculation of the influence of dynamical HISQ
fermions on the perturbative improvement of the gluonic action in the same way
as we have previously done for asqtad fermions. We find the fermionic
contributions to the radiative corrections in the Luescher-Weisz gauge action
to be somewhat larger for HISQ fermions than for asqtad. Using one-loop
perturbation theory as a test, we estimate that omission of the fermion-induced
radiative corrections in dynamical asqtad simulations will give a measurable
effect. The one-loop result gives a systematic shift of about -0.6% in (r_1/a)
on the coarsest asqtad improved staggered ensembles. This is the correct sign
and magnitude to explain the scaling violations seen in Phi_B on dynamical
lattice ensembles.Comment: 10 pages, 5 figures. Minor corrections suggested by refere
The Supershell-Molecular Cloud Connection in the Milky Way and Beyond
The role of large-scale stellar feedback in the formation of molecular clouds
has been investigated observationally by examining the relationship between HI
and 12CO(J=1-0) in supershells. Detailed parsec-resolution case studies of two
Milky Way supershells demonstrate an enhanced level of molecularisation over
both objects, and hence provide the first quantitative observational evidence
of increased molecular cloud production in volumes of space affected by
supershell activity. Recent results on supergiant shells in the LMC suggest
that while they do indeed help to organise the ISM into over-dense structures,
their global contribution to molecular cloud formation is of the order of only
~10%.Comment: Proceedings of IAUS 292 - Molecular Gas, Dust, and Star Formation in
Galaxies, eds. T. Wong & J. Ott. 4 pages, 3 figure
Next nearest neighbour Ising models on random graphs
This paper develops results for the next nearest neighbour Ising model on
random graphs. Besides being an essential ingredient in classic models for
frustrated systems, second neighbour interactions interactions arise naturally
in several applications such as the colour diversity problem and graphical
games. We demonstrate ensembles of random graphs, including regular
connectivity graphs, that have a periodic variation of free energy, with either
the ratio of nearest to next nearest couplings, or the mean number of nearest
neighbours. When the coupling ratio is integer paramagnetic phases can be found
at zero temperature. This is shown to be related to the locked or unlocked
nature of the interactions. For anti-ferromagnetic couplings, spin glass phases
are demonstrated at low temperature. The interaction structure is formulated as
a factor graph, the solution on a tree is developed. The replica symmetric and
energetic one-step replica symmetry breaking solution is developed using the
cavity method. We calculate within these frameworks the phase diagram and
demonstrate the existence of dynamical transitions at zero temperature for
cases of anti-ferromagnetic coupling on regular and inhomogeneous random
graphs.Comment: 55 pages, 15 figures, version 2 with minor revisions, to be published
J. Stat. Mec
Cosmological constraints on neutrino plus axion hot dark matter
We use observations of the cosmological large-scale structure to derive
limits on two-component hot dark matter consisting of mass-degenerate neutrinos
and hadronic axions, both components having velocity dispersions corresponding
to their respective decoupling temperatures. We restrict the data samples to
the safely linear regime, in particular excluding the Lyman-alpha forest. Using
standard Bayesian inference techniques we derive credible regions in the
two-parameter space of m_a and sum(m_nu). Marginalising over sum(m_nu) provides
m_a < 1.2 eV (95% C.L.). In the absence of axions the same data and methods
give sum(m_nu) < 0.65 eV (95% C.L.). We also derive limits on m_a for a range
of axion-pion couplings up to one order of magnitude larger or smaller than the
hadronic value.Comment: 13 pages, 2 figures, uses iopart.cl
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