15,863 research outputs found
Hadronic unquenching effects in the quark propagator
We investigate hadronic unquenching effects in light quarks and mesons.
Within the non-perturbative continuum framework of Schwinger-Dyson and
Bethe-Salpeter equations we quantify the strength of the back reaction of the
pion onto the quark-gluon interaction. To this end we add a Yang-Mills part of
the interaction such that unquenched lattice results for various current quark
masses are reproduced. We find considerable effects in the quark mass function
at low momenta as well as for the chiral condensate. The quark wave function is
less affected. The Gell--Mann-Oakes-Renner relation is valid to good accuracy
up to pion masses of 400-500 MeV. As a byproduct of our investigation we verify
the Coleman theorem, that chiral symmetry cannot be broken spontaneously when
QCD is reduced to 1+1 dimensions.Comment: 27 pages, 15 figures, minor corrections and clarifications; version
to appear in PR
Ion pairing in model electrolytes: A study via three particle correlation functions
A novel integral equations approach is applied for studying ion pairing in
the restricted primitive model (RPM) electrolyte, i. e., the three point
extension (TPE) to the Ornstein-Zernike integral equations. In the TPE
approach, the three-particle correlation functions are obtained. The TPE results are compared to molecular
dynamics (MD) simulations and other theories. Good agreement between TPE and MD
is observed for a wide range of parameters, particularly where standard
integral equations theories fail, i. e., low salt concentration and high ionic
valence. Our results support the formation of ion pairs and aligned ion
complexes.Comment: 43 pages (including 18 EPS figs) - RevTeX 4 - J. Chem. Phys. (in
press
Central limit behavior of deterministic dynamical systems
We investigate the probability density of rescaled sums of iterates of
deterministic dynamical systems, a problem relevant for many complex physical
systems consisting of dependent random variables. A Central Limit Theorem (CLT)
is only valid if the dynamical system under consideration is sufficiently
mixing. For the fully developed logistic map and a cubic map we analytically
calculate the leading-order corrections to the CLT if only a finite number of
iterates is added and rescaled, and find excellent agreement with numerical
experiments. At the critical point of period doubling accumulation, a CLT is
not valid anymore due to strong temporal correlations between the iterates.
Nevertheless, we provide numerical evidence that in this case the probability
density converges to a -Gaussian, thus leading to a power-law generalization
of the CLT. The above behavior is universal and independent of the order of the
maximum of the map considered, i.e. relevant for large classes of critical
dynamical systems.Comment: 6 pages, 5 figure
Distance to the IBEX Ribbon Source Inferred from Parallax
Maps of Energetic Neutral Atom (ENA) fluxes obtained from Interstellar
Boundary Explorer (IBEX) observations revealed a bright structure extending
over the sky, subsequently dubbed the IBEX ribbon. The ribbon had not been
expected from the existing models and theories prior to IBEX, and a number of
mechanisms have since been proposed to explain the observations. In these
mechanisms, the observed ENAs emerge from source plasmas located at different
distances from the Sun. Since each part of the sky is observed by IBEX twice
during the year from opposite sides of the Sun, the apparent position of the
ribbon as observed in the sky is shifted due to parallax. To determine the
ribbon parallax, we found the precise location of the maximum signal of the
ribbon observed in each orbital arc. The obtained apparent positions were
subsequently corrected for the Compton-Getting effect, gravitational
deflection, and radiation pressure. Finally, we selected a part of the ribbon
where its position is similar between the IBEX energy passbands. We compared
the apparent positions obtained from the viewing locations on the opposite
sides of the Sun, and found that they are shifted by a parallax angle of
, which corresponds to a distance of
AU. This finding supports models of the ribbon with the source located just
outside the heliopause.Comment: 26 pages, 10 figures, 1 table, submitted to Ap
Feature priming in visual search does not depend on the dimensional context
Visual search is speeded when the target-defining property (a feature- or dimension difference relative to the distractors) is repeated relative to when it changes, a phenomenon referred to as intertrial priming. Feature priming is usually weaker than dimension priming, and sometimes even absent. Four experiments tested the hypothesis that feature priming effects are especially weakened when the visual search task also involves dimension changes, the idea being that feature changes become less salient or less relevant relative to the bigger dimension changes. Feature changes were embedded in blocks that only contained feature changes, or in blocks that also carried dimension changes. However, regardless of type of search task, and level of display ambiguity, the dimensional context had little to no effect on the magnitude of feature priming. There were only reliable effects of ambiguity, in line with recent proposals (Meeter & Olivers, 2006)
Spatial distribution of Cherenkov radiation in periodic dielectric media
The nontrivial dispersion relation of a periodic medium affects both the
spectral and the spatial distribution of Cherenkov radiation. We present a
theory of the spatial distribution of Cherenkov radiation in the far-field zone
inside arbitrary three- and two-dimensional dielectric media. Simple analytical
expressions for the far-field are obtained in terms of the Bloch mode
expansion. Numerical examples of the Cherenkov radiation in a two-dimensional
photonic crystal is presented. The developed analytical theory demonstrates
good agreement with numerically rigorous finite-difference time-domain
calculations.Comment: 14 pages, 5 figures, Journal of Optics A (in press
Aging effects manifested in the potential energy landscape of a model glass former
We present molecular dynamics simulations of a model glass-forming liquid
(the binary Kob-Anderson Lennard-Jones model) and consider the distributions of
inherent energies and metabasins during aging. In addition to the typical
protocol of performing a temperature jump from a high temperature to a low
destination temperature, we consider the temporal evolution of the
distributions after an 'up-jump', i.e. from a low to a high temperature. In
this case the distribution of megabasin energies exhibits a transient two-peak
structure. Our results can qualitatively be rationalized in terms of a trap
model with a Gaussian distribution of trap energies. The analysis is performed
for different system sizes. A detailed comparison with the trap model is
possible only for a small system because of major averging effects for larger
systems.Comment: 16 pages, 14 figure
Equilibrium properties of highly asymmetric star-polymer mixtures
We employ effective interaction potentials to study the equilibrium structure
and phase behavior of highly asymmetric mixtures of star polymers. We consider
in particular the influence of the addition of a component with a small number
of arms and a small size on a concentrated solution of large stars with a high
functionality. By employing liquid integral equation theories we examine the
evolution of the correlation functions of the big stars upon addition of the
small ones, finding a loss of structure that can be attributed to a weakening
of the repulsions between the large stars due to the presence of the small
ones. We analyze this phenomenon be means of a generalized depletion mechanism
which is supported by computer simulations. By applying thermodynamic
perturbation theory we draw the phase diagram of the asymmetric mixture,
finding that the addition of small stars melts the crystal formed by the big
ones. A systematic comparison between the two- and effective one-component
descriptions of the mixture that corroborates the reliability of the
generalized depletion picture is also carried out.Comment: 26 pages, 9 figures, submitted to Phys. Rev.
Time-evolution of the Rule 150 cellular automaton activity from a Fibonacci iteration
The total activity of the single-seeded cellular rule 150 automaton does not
follow a one-step iteration like other elementary cellular automata, but can be
solved as a two-step vectorial, or string, iteration, which can be viewed as a
generalization of Fibonacci iteration generating the time series from a
sequence of vectors of increasing length. This allows to compute the total
activity time series more efficiently than by simulating the whole
spatio-temporal process, or even by using the closed expression.Comment: 4 pages (3 figs included
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