21,785 research outputs found
Convergence acceleration and stabilization for dynamical-mean-field-theory calculations
The convergence to the self-consistency in the dynamical-mean-field-theory
(DMFT) calculations for models of correlated electron systems can be
significantly accelerated by using an appropriate mixing of hybridization
functions which are used as the input to the impurity solver. It is shown that
the techniques and the past experience with the mixing of input charge
densities in the density-functional-theory (DFT) calculations are also
effective in DMFT. As an example, the increase of the computational
requirements near the Mott metal-insulator transition in the Hubbard model due
to critical slowing down can be strongly reduced by using the modified
Broyden's method to numerically solve the non-linear self-consistency equation.
Speed-up factors as high as 3 were observed in practical calculations even for
this relatively well behaved problem. Furthermore, the convergence can be
achieved in difficult cases where simple linear mixing is either not effective
or even leads to divergence. Unstable and metastable solutions can also be
obtained. We also determine the linear response of the system with respect to
the variations of the hybridization function, which is related to the
propagation of the information between the different energy scales during the
iteration.Comment: 9 pages, 8 figure
A Multi-Valued Logarithm on Time Scales
A new definition of a multi-valued logarithm on time scales is introduced for
delta-differentiable functions that never vanish. This new logarithm arises
naturally from the definition of the cylinder transformation that is also at
the heart of the definition of exponential functions on time scales. This
definition will lead to a logarithm function on arbitrary time scales with
familiar and useful properties that previous definitions in the literature
lacked.Comment: Pre-print version 1, 17 page
Variable-Structure Control of a Model Glider Airplane
A variable-structure control system designed to enable a fuselage-heavy airplane to recover from spin has been demonstrated in a hand-launched, instrumented model glider airplane. Variable-structure control is a high-speed switching feedback control technique that has been developed for control of nonlinear dynamic systems
Interference of an array of atom lasers
We report on the observation of interference of a series of atom lasers. A
comb-like array of coherent atomic beams is generated by outcoupling atoms from
distinct Bose-Einstein condensates confined in the independent sites of a
mesoscopic optical lattice. The observed interference signal arises from the
spatial beating of the overlapped atom laser beams, which is sampled over a
vertical region corresponding to 2 ms of free fall time. The average relative
de Broglie frequency of the atom lasers was measured.Comment: 3 figure
Millimeter and Submillimeter Survey of the R Corona Australis Region
Using a combination of data from the Antarctic Submillimeter Telescope and
Remote Observatory (AST/RO), the Arizona Radio Observatory Kitt Peak 12m
telescope and the Arizona Radio Observatory 10m Heinrich Hertz Telescope, we
have studied the most active part of the R CrA molecular cloud in multiple
transitions of Carbon Monoxide, HCO and 870\micron continuum emission.
Since R CrA is nearby (130 pc), we are able to obtain physical spatial
resolution as high as 0.01pc over an area of 0.16 pc, with velocity
resolution finer than 1 km/s. Mass estimates of the protostar driving the
mm-wave emission derived from HCO, dust continuum emission and kinematic
techniques point to a young, deeply embedded protostar of 0.5-0.75
M, with a gaseous envelope of similar mass. A molecular outflow is
driven by this source that also contains at least 0.8 M of molecular
gas with 0.5 L of mechanical luminosity. HCO lines show the
kinematic signature of infall motions as well as bulk rotation. The source is
most likely a Class 0 protostellar object not yet visible at near-IR
wavelengths. With the combination of spatial and spectral resolution in our
data set, we are able to disentangle the effects of infall, rotation and
outflow towards this young object.Comment: 29 pages, 9 figures. Accepted for publication in the Astrophysical
Journa
Low- and high-frequency noise from coherent two-level systems
Recent experiments indicate a connection between the low- and high-frequency
noise affecting superconducting quantum systems. We explore the possibilities
that both noises can be produced by one ensemble of microscopic modes, made up,
e.g., by sufficiently coherent two-level systems (TLS). This implies a relation
between the noise power in different frequency domains, which depends on the
distribution of the parameters of the TLSs. We show that a distribution,
natural for tunneling TLSs, with a log-uniform distribution in the tunnel
splitting and linear distribution in the bias, accounts for experimental
observations.Comment: minor corrections, references adde
New Fermionic Description of Quantum S = 1/2 Antiferromargnet
A novel approach to S =1/2 antiferromagnets with strong fluctuations based on
the representation of spin-1/2 operators as bylinear forms of real (Majorana)
fermions is suggested. This representation has the advantage of being
irreducible without any constraints on the fermionic Hilbert space. This
property allows to derive an effective Hamiltonian for low-lying excitations in
the spin liquid state. It is proven that these excitations are S = 1 real
fermions.Comment: 4 page
Teichm\"uller's problem in space
Quasiconformal homeomorphisms of the whole space Rn, onto itself normalized
at one or two points are studied. In particular, the stability theory, the case
when the maximal dilatation tends to 1, is in the focus. Our main result
provides a spatial analogue of a classical result due to Teichm\"uller. Unlike
Teichm\"uller's result, our bounds are explicit. Explicit bounds are based on
two sharp well-known distortion results: the quasiconformal Schwarz lemma and
the bound for linear dilatation. Moreover, Bernoulli type inequalities and
asymptotically sharp bounds for special functions involving complete elliptic
integrals are applied to simplify the computations. Finally, we discuss the
behavior of the quasihyperbolic metric under quasiconformal maps and prove a
sharp result for quasiconformal maps of R^n \ {0} onto itself.Comment: 25 pages, 2 figure
Search for a Solution of the Pioneer Anomaly
In 1972 and 1973 the Pioneer 10 and 11 missions were launched. They were the
first to explore the outer solar system and achieved stunning breakthroughs in
deep-space exploration. But beginning in about 1980 an unmodeled force of \sim
8 \times 10^{-8} cm/s^2, directed approximately towards the Sun, appeared in
the tracking data. It later was unambiguously verified as being in the data and
not an artifact. The cause remains unknown (although radiant heat remains a
likely origin). With time more and more effort has gone into understanding this
anomaly (and also possibly related effects). We review the situation and
describe ongoing programs to resolve the issue.Comment: 24 pages 8 figure
Inorganic nitrogen availability alters Eucalyptus grandis receptivity to the ectomycorrhizal fungus Pisolithus albus but not symbiotic nitrogen transfer.
Forest trees are able to thrive in nutrient-poor soils in part because they obtain growth-limiting nutrients, especially nitrogen (N), through mutualistic symbiosis with ectomycorrhizal (ECM) fungi. Addition of inorganic N into these soils is known to disrupt this mutualism and reduce the diversity of ECM fungi. Despite its ecological impact, the mechanisms governing the observed effects of elevated inorganic N on mycorrhizal communities remain unknown. We address this by using a compartmentalized in vitro system to independently alter nutrients to each symbiont. Using stable isotopes, we traced the nutrient flux under different nutrient regimes between Eucalyptus grandis and its ectomycorrhizal symbiont, Pisolithus albus. We demonstrate that giving E. grandis independent access to N causes a significant reduction in root colonization by P. albus. Transcriptional analysis suggests that the observed reduction in colonization may be caused, in part, by altered transcription of microbe perception genes and defence genes. We show that delivery of N to host leaves is not increased by host nutrient deficiency but by fungal nutrient availability instead. Overall, this advances our understanding of the effects of N fertilization on ECM fungi and the factors governing nutrient transfer in the E. grandis-P. microcarpus interaction
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