From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data

One way to analyze complicated non-autonomous flows is through trying to understand their transport behavior. In a quantitative, set-oriented approach to transport and mixing, finite time coherent sets play an important role. These are time-parametrized families of sets with unlikely transport to and from their surroundings under small or vanishing random perturbations of the dynamics. Here we propose, as a measure of transport and mixing for purely advective (i.e., deterministic) flows, (semi)distances that arise under vanishing perturbations in the sense of large deviations. Analogously, for given finite Lagrangian trajectory data we derive a discrete-time and space semidistance that comes from the "best" approximation of the randomly perturbed process conditioned on this limited information of the deterministic flow. It can be computed as shortest path in a graph with time-dependent weights. Furthermore, we argue that coherent sets are regions of maximal farness in terms of transport and mixing, hence they occur as extremal regions on a spanning structure of the state space under this semidistance---in fact, under any distance measure arising from the physical notion of transport. Based on this notion we develop a tool to analyze the state space (or the finite trajectory data at hand) and identify coherent regions. We validate our approach on idealized prototypical examples and well-studied standard cases.Comment: J Nonlinear Sci, 201

Nuclear multifragmentation within the framework of different statistical ensembles

The sensitivity of the Statistical Multifragmentation Model to the underlying statistical assumptions is investigated. We concentrate on its micro-canonical, canonical, and isobaric formulations. As far as average values are concerned, our results reveal that all the ensembles make very similar predictions, as long as the relevant macroscopic variables (such as temperature, excitation energy and breakup volume) are the same in all statistical ensembles. It also turns out that the multiplicity dependence of the breakup volume in the micro-canonical version of the model mimics a system at (approximately) constant pressure, at least in the plateau region of the caloric curve. However, in contrast to average values, our results suggest that the distributions of physical observables are quite sensitive to the statistical assumptions. This finding may help deciding which hypothesis corresponds to the best picture for the freeze-out stageComment: 20 pages, 7 figure

The twistor geometry of three-qubit entanglement

A geometrical description of three qubit entanglement is given. A part of the transformations corresponding to stochastic local operations and classical communication on the qubits is regarded as a gauge degree of freedom. Entangled states can be represented by the points of the Klein quadric ${\cal Q}$ a space known from twistor theory. It is shown that three-qubit invariants are vanishing on special subspaces of ${\cal Q}$. An invariant vanishing for the $GHZ$ class is proposed. A geometric interpretation of the canonical decomposition and the inequality for distributed entanglement is also given.Comment: 4 pages RevTeX

Quantum Chemistry of Excited State: Tamm-Dankoff Approximation with Correlated Wave Functions

A simple derivation of the general equations of the Tamm-Dankoff approximation (TDA) is presented using the equation-of-motion technique to describe electronic excitations in molecules. It is emphasized that the performance of this method strongly depends on the accuracy of the reference (ground) state. Though the Hartree-Fock ground state is commonly applied, the \u27all-single CI\u27 (CIS) method based on it is not too reliable. On the other hand, if the ground state is described by sophisticated wave functions like CISD or a coupled cluster ansatz, the TDA equations become quite complicated and may even turn inconsistent. We advocate the use of geminal type ground state wave functions, which, if the strong orthogonality condition is utilized, provide an efficient starting point, being not only highly correlated but also very transparent. Fully consistent TDA equations are derived for strongly orthogonal geminals, which can be of great help in the interpretation of molecular spectra in terms of local contributions and chromophores

A pneumococcusvakcináció gyakorlata a családorvosi praxisokban

INTRODUCTION: The prevalence of invasive pneumococcal disease, which is depending on risk factors and comorbidities, is increasing over the age of 50 years. Most developed countries have recommendations but vaccination rates remain low. AIM: To assess the general practitioners' daily practice in relation to pneumococcal vaccination and analyse the effect of informing the subjects about the importance of pneumococcal vaccination on vaccination routine. METHOD: Subjects over 50 years of age vaccinated against influenza during the 2012/2013 campaign were informed about the importance of pneumococcal vaccination and asked to fill in a questionnaire. RESULTS: Of the 4000 subjects, 576 asked for a prescription of pneumococcal vaccine (16.5% of females and 11.6% of males, OR 1.67 CI 95% 1.37-2.04, p<0.001) and 310 were vaccinated. The mean age of females and males was 70.95 and 69.8 years, respectively (OR 1.01; CI 95% 1.00-1.02; p<0.05). Information given by physicians resulted in 33,6% prescription rate, while in case it was 8% when nurses provided information (OR 6.33; CI 95% 5.23-7.67; p<0.001). As an effect of this study the vaccination rate was 6.3 times higher than in the previous year campaign (p<0.001). CONCLUSIONS: General practitioners are more effective in informing subjects about the importance of vaccination than nurses. Campaign can raise the vaccination rate significantly

Use ofJuvenile Grape Berry as Antioxidant Rich Food Ingredient

Both grape and wine production have several useful by-products what have been discovered more and more due their important positive health effects in the last decades. The grape seed is one of them because its high antioxidant power. On the other hand, the marc is also more and more widely evaluated because of its high amount and useful chemical components. However, the grape berries what arise during cluster or grape thinning are rarely evaluated. Their positive properties and high antioxidant activity has been well known for a long time but their utilization is very rare. It is known as verjus, that is known from its sour taste as souring agent, but in Hungary it is not known. In our research we have evaluated six grape varieties in the Tokaj region during grape maturing in three stages of veraison. Clusters were collected and berries were removed from the pedicles manually and the chemical composition of whole berries, separated seeds and peel and flesh were analysed. Furthermore, dried berry parts were grinded and added to wheat flour and biscuits made from them were also analysed both chemically and sensory. We found that their use can result antioxidant rich and tasty bakery products

Logarithmic delocalization of end spins in the S=3/2 antiferromagnetic Heisenberg chain

Using the DMRG method we calculate the surface spin correlation function, $C_L(l)=$, in the spin $S=3/2$ antiferromagnetic Heisenberg chain. For comparison we also investigate the $S=1/2$ chain with S=1 impurity end spins and the S=1 chain. In the half-integer spin models the end-to-end correlations are found to decay to zero logarithmically, $C_L(1)\sim (\log L)^{-2d}$, with $d=0.13(2)$. We find no surface order, in clear contrast with the behavior of the S=1 chain, where exponentially localized end spins induce finite surface correlations. The lack of surface order implies that end spins do not exist in the strict sense. However, the system possesses a logarithmically weakly delocalizing boundary excitation, which, for any chain lengths attainable numerically or even experimentally, creates the illusion of an end spin. This mode is responsible for the first gap, which vanishes asymptotically as $\Delta_1 \approx (\pi v_S d)/(L\ln L)$, where $v_S$ is the sound velocity and $d$ is the logarithmic decay exponent. For the half-integer spin models our results on the surface correlations and on the first gap support universality. Those for the second gap are less conclusive, due to strong higher-order corrections.Comment: 10 pages, 8 figure

Stringy Black Holes and the Geometry of Entanglement

Recently striking multiple relations have been found between pure state 2 and 3-qubit entanglement and extremal black holes in string theory. Here we add further mathematical similarities which can be both useful in string and quantum information theory. In particular we show that finding the frozen values of the moduli in the calculation of the macroscopic entropy in the STU model, is related to finding the canonical form for a pure three-qubit entangled state defined by the dyonic charges. In this picture the extremization of the BPS mass with respect to moduli is connected to the problem of finding the optimal local distillation protocol of a GHZ state from an arbitrary pure three-qubit state. These results and a geometric classification of STU black holes BPS and non-BPS can be described in the elegant language of twistors. Finally an interesting connection between the black hole entropy and the average real entanglement of formation is established.Comment: 34 pages, 6 figure

Coherence Analysis for Finite Lagrangian Data

One way to analyze complicated non-autonomous flows is through trying to understand their transport behavior. In a quantitative, set-oriented approach to transport and mixing, finite time coherent sets play an important role. These are time-parametrized families of sets with unlikely transport to and from their surroundings under small or vanishing random perturbations of the dynamics. Here we propose, as a measure of transport and mixing for purely advective (i.e., deterministic) flows, (semi)distances that arise under vanishing perturbations in the sense of large deviations. Analogously, for given finite Lagrangian trajectory data we derive a discrete-time-and-space semidistance that comes from the “best” approximation of the randomly perturbed process conditioned on this limited information of the deterministic flow. It can be computed as shortest path in a graph with time-dependent weights. Furthermore, we argue that coherent sets are regions of maximal farness in terms of transport and mixing, and hence they occur as extremal regions on a spanning structure of the state space under this semidistance—in fact, under any distance measure arising from the physical notion of transport. Based on this notion, we develop a tool to analyze the state space (or the finite trajectory data at hand) and identify coherent regions. We validate our approach on idealized prototypical examples and well-studied standard cases

Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields

We study the transverse and longitudinal momentum spectra of fermions produced in a strong, time-dependent non-Abelian SU(2) field. Different time-dependent field strengths are introduced. The momentum spectra are calculated for the produced fermion pairs in a kinetic model. The obtained spectra are similar to the Abelian case, and they display exponential or polynomial behaviour at high p_T, depending on the given time dependence. We investigated different color initial conditions and discuss the recognized scaling properties for both Abelian and SU(2) cases.Comment: 10 pages, 11 figures; version accepted to PR