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Showing papers in "European Physical Journal-special Topics in 2008"


Journal ArticleDOI
TL;DR: After 20 years of RPs it is time to summarise this development in a historical context.
Abstract: In the last two decades recurrence plots (RPs)were introduced in many different scientific disciplines. It turned out how powerful this method is. After introducing approaches of quantification of RPs and by the study of relationships between RPs and fundamental properties of dynamical systems, this method attracted even more attention. After 20 years of RPs it is time to summarise this development in a historical context.

258 citations


Journal ArticleDOI
TL;DR: In this article, the optical absorption properties of pre-processed gold nanoparticles of different shapes and sizes measured by photoacoustic (PA) method have been reported and the shape and size of these different nanoparticles were determined by STM measurements.
Abstract: We report on the optical absorption properties of as prepared gold naoparticles of different shapes and sizes measured by photoacoustic (PA) method. The gold nanoparticles of two different shapes (dots, rods) have been prepared using the seed mediated growth method. The shape and the size of these different nanoparticles were determined by STM measurements. PA spectra show the splitting of the surface plasmon resonance (SPR) into two modes (transverse and longitudinal) in case of gold nanorods. The increase in the aspect ratio of the nanorods leads to clear redshifts of the longitudinal SPR. These shifts were used to determine the dielectric constant of the surrounding medium and its variation with the aspect ratios.

248 citations


Journal ArticleDOI
TL;DR: This paper addresses the issue of threshold selection in RP/RQA with the core criterion for choosing a threshold is the power in signal detection that threshold yields and will validate the approach by applying it to model as well as real-life data.
Abstract: Over the last years recurrence plots (RPs)and recurrence quantification analysis (RQA)have become quite popular in various branches of science. One key problem in applying RPs and RQA is the selection of suitable parameters for the data under investigation. Whereas various well-established methods for the selection of embedding parameters exists, the question of choosing an appropriate threshold has not yet been answered satisfactorily. The recommendations found in the literature are rather rules of thumb than actual guidelines. In this paper we address the issue of threshold selection in RP/RQA. The core criterion for choosing a threshold is the power in signal detection that threshold yields. We will validate our approach by applying it to model as well as real-life data.

219 citations


Journal ArticleDOI
TL;DR: In this article, a mean field approach is proposed for the analysis of orientational order in a two-dimensional system of stochastic self-propelled particles interacting by local velocity alignment mechanism.
Abstract: A mean-field approach (MFA) is proposed for the analysis of orientational order in a two-dimensional system of stochastic self-propelled particles interacting by local velocity alignment mechanism. The treatment is applied to the cases of ferromagnetic (F) and liquid-crystal (LC) alignment. In both cases, MFA yields a second order phase transition for a critical noise strength and a scaling exponent of 1/2 for the respective order parameters. We find that the critical noise amplitude ηc at which orientational order emerges in the LC case is smaller than in the F-alignment case, i.e. ηLC C<ηF C. A comparison with simulations of individual-based models with F- resp. LC-alignment shows that the predictions about the critical behavior and the qualitative relation between the respective critical noise amplitudes are correct.

139 citations


Journal ArticleDOI
TL;DR: An individual-based kinematic model of rolling migratory locust swarms that incorporates social interactions, gravity, wind, and the effect of the impenetrable boundary formed by the ground is constructed.
Abstract: We construct an individual-based kinematic model of rolling migratory locust swarms. The model incorporates social interactions, gravity, wind, and the effect of the impenetrable boundary formed by the ground. We study the model using numerical simulations and tools from statistical mechanics, namely the notion of H-stability. For a free-space swarm (no wind and gravity), as the number of locusts increases, the group approaches a crystalline lattice of fixed density if it is H-stable, and in contrast becomes ever denser if it is catastrophic. Numerical simulations suggest that whether or not a swarm rolls depends on the statistical mechanical properties of the corresponding free-space swarm. For a swarm that is H-stable in free space, gravity causes the group to land and form a crystalline lattice. Wind, in turn, smears the swarm out along the ground until all individuals are stationary. In contrast, for a swarm that is catastrophic in free space, gravity causes the group to land and form a bubble-like shape. In the presence of wind, the swarm migrates with a rolling motion similar to natural locust swarms. The rolling structure is similar to that observed by biologists, and includes a takeoff zone, a landing zone, and a stationary zone where grounded locusts can rest and feed.

132 citations


Journal ArticleDOI
TL;DR: In this paper, the historical co-evolution of biological motility models with models of Brownian motion is outlined, and experimental results for how to derive cell-type-specific motility model from experimental cell trajectories are reviewed.
Abstract: The historical co-evolution of biological motility models with models of Brownian motion is outlined Recent results for how to derive cell-type-specific motility models from experimental cell trajectories are reviewed Experimental work in progress, which tests the generality of this phenomenological model building is reported So is theoretical work in progress, which explains the characteristic time scales and correlations of phenomenological models in terms of the dynamics of cytoskeleton, lamellipodia, and pseudopodia

102 citations


Journal ArticleDOI
TL;DR: In this article, the authors proposed an efficient computation of the GALIk indices, which represent volume elements of k randomly chosen deviation vectors from a given orbit, based on the Singular Value Decomposition (SVD) algorithm.
Abstract: The recently introduced GALI method is used for rapidly detecting chaos, determining the dimensionality of regular motion and predicting slow diffusion in multi-dimensional Hamiltonian systems. We propose an efficient computation of the GALIk indices, which represent volume elements of k randomly chosen deviation vectors from a given orbit, based on the Singular Value Decomposition (SVD) algorithm. We obtain theoretically and verify numerically asymptotic estimates of GALIs long-time behavior in the case of regular orbits lying on low-dimensional tori. The GALIk indices are applied to rapidly detect chaotic oscillations, identify low-dimensional tori of Fermi–Pasta–Ulam (FPU) lattices at low energies and predict weak diffusion away from quasiperiodic motion, long before it is actually observed in the oscillations.

85 citations


Journal ArticleDOI
TL;DR: In this paper, the Single Ion Differential α Measurement (SIDAM) method for measuring Δα/α and its figures of merit are illustrated together with the results produced by means of Fe ii absorption lines of QSO intervening systems.
Abstract: The Single Ion Differential α Measurement (SIDAM)method for measuring Δα/α and its figures of merit are illustrated together withthe results produced by means of Fe ii absorption linesof QSO intervening systems. The method providesΔα/α = -0.12 ±1.79 ppm (parts-per-million) at zabs = 1.15towards HE 0515-4414 and Δα/α = 5.66±2.67 ppm at zabs = 1.84towards Q 1101-264, which are so far the most accurate measurementsfor single systems. SIDAM analysis for 3 systems from the Chand et al. [1]sample provides inconsistent results which we interpret as due tocalibration errors of the Chand et al. data at the level ≈10 ppm.In one system evidence for photo-ionization Dopplershift between Mg ii and Fe ii lines is found.This evidence has important bearings on the Many Multipletmethod where the signal for Δα/αvariabilityis carried mainly by systems involving Mg ii absorbers.Some correlations are also found in the Murphy et al. [10] sample which suggestlarger errors than previously reported.Thus, we consider unlikely that both the Chand et al.and Murphy et al. datasets could providean estimate of Δα/α with an accuracy at the level of 1 ppm.A new spectrograph like the ESPRESSO projectwill be crucial to make progress in the astronomical determination of Δα/α.

77 citations


Journal ArticleDOI
TL;DR: In this article, a molecular fountain based on a Stark decelerated molecular beam is presented, where ammonia molecules are accelerated to a few meters per second, cooled to sub microKelvin temperatures and subsequently launched.
Abstract: The recent demonstration of cooling and manipulation techniques for molecules offer newpossibilities for precision measurements in molecules. Here, we present the design of a molecularfountain based on a Stark decelerated molecular beam. In this fountain, ammonia molecules aredecelerated to a few meter per second, cooled to sub microKelvin temperatures and subsequentlylaunched. The molecules fly upwards some 30 cm before falling back under gravity, thereby passing amicrowave cavity twice – as they fly up and as they fall back down. The effective interrogationtime in such a Ramsey type measurement scheme includes the entire flight time between the twotraversals through the driving field, which is on the order of a 1/2 second. We present numericalsimulations of the trajectories through the decelerator and estimate the expected count rate. Wepresent an evaluation of the expected stability and accuracy for the inversion transition in15NH3 around 22.6 GHz. The estimated frequency instability is $7\times10^{-12}~\tau^{-1/2}$ , with τ being the measurement time in seconds. With a careful design ofthe interogation zone, systematic frequency shifts are kept below 10-14. Besides serving as aproof-of-principle, these measurements may be used as a test of the time-variation of fundamentalconstants using the sensitivity of the tunneling motion to a change of the proton-electron massratio.

77 citations


Journal ArticleDOI
TL;DR: In this article, the Eckart choice of the velocity field is applied to relativistic dissipative hydrodynamics to remove all known instabilities of the linear response approximation.
Abstract: Causality and stability in relativistic dissipative hydrodynamics are important conceptual issues. We argue that causality is not restricted to hyperbolic set of differential equations. E.g. heat conduction equation can be causal considering the physical validity of the theory. Furthermore we propose a new concept of relativistic internal energy that clearly separates the dissipative and non-dissipative effects. We prove that with this choice we remove all known instabilities of the linear response approximation of viscous and heat conducting relativistic fluids. In this paper the Eckart choice of the velocity field is applied.

76 citations


Journal ArticleDOI
TL;DR: The method to reproduce distance matrices and original time series from recurrence plots to convert a recurrence plot to a weighted graph and calculate a distance between each pair of nodes on this weighted graph opens new fields in data analysis.
Abstract: We propose a method to reproduce distance matrices and original time series from recurrence plots. The procedure is to (i)convert a recurrence plot to a weighted graph and (ii)calculate a distance between each pair of nodes on this weighted graph. We demonstrate this method by reproducing the topological shape of original time series. We also propose two applications. The first application is to obtain the maximal Lyapunov exponent from a recurrence plot without reproducing the shapes of original time series. The second application is to reconstruct a common deterministic driving force from observations of forced systems. Thus, the method opens new fields in data analysis.

Journal ArticleDOI
TL;DR: In this paper, the twin microstructure of a cycled Ni-Mn-Ga single crystal was characterized using atomic force microscopy (AFM) and magnetic force microscope (MFM) and it was concluded that the response of a magnetic shape memory alloy to an alternating excitation depends strongly on the initial twin micro-structure established through training.
Abstract: Magneto-mechanical experiments with a rotating magnetic field of 0.97 T were performed with a Ni-Mn-Ga single crystal. Periodic strains exceeding 1% were recorded over a hundred million magneto-mechanical cycles. The twin microstructure of the cycled crystal was characterized using atomic force microscopy (AFM) and magnetic force microscopy (MFM). In the center of the sample, no twin boundaries were found. At the sample edges, the microstructure shows a dense twin pattern. The results are compared with previous experiments of differently trained crystals. It is useful to distinguish between “ineffective training”, which results in a nearly self-accommodated martensite, and “effective training”, which results in a nearly single-variant crystal. The evolution of twin structure is discussed in terms of training, magneto-mechanical cycling, and extrinsic constraints imposed by the experimental setting. It is concluded that the response of a magnetic shape memory alloy to an alternating excitation depends strongly on the initial twin microstructure established through training. In particular, ineffective training results in a twin microstructure which can adapt to extrinsic constraints resulting in continued large periodic magnetic-field-induced deformation. In contrast, the twin microstructure of an effectively trained crystal can not adapt to extrinsic constraints resulting in early failure by fracture.

Journal ArticleDOI
TL;DR: In this paper, the authors assess the theoretical uncertainties on the total charm cross-section and discuss the importance of the quark mass, the scale choice and the parton densities on the estimate of the uncertainty.
Abstract: We assess the theoretical uncertainties on the total charm cross section. We discuss the importance of the quark mass, the scale choice and the parton densities on the estimate of the uncertainty. We conclude that due to the small charm quark mass, which amplifies the effect of varying the other parameters in the calculation, the uncertainty on the total charm cross section is difficult to quantify.

Journal ArticleDOI
TL;DR: In this paper, a mechanism based on the B-L and CP violating out-of-equilibrium particle processes between ordinary and mirror sectors was proposed to generate baryon asymmetries in both worlds.
Abstract: Dark matter can be constituted by the baryons of mirror world, parallel hidden sector which has the same (or similar) microphysics as that of the observable world. We discuss a mechanism based on the B-L and CP violating out-of-equilibrium particle processes between ordinary and mirror sectors that could generate baryon asymmetries in both worlds, in comparable amounts, within the range \( \Omega '_B /\Omega _B \tilde 1 - 10 \), and thus naturally explain the conspiracy between the baryonic and dark matter fractions in the Universe. Particle interactions between two sectors can be also relevant for a direct detection of dark matter and in addition could induce interesting processes of the ordinary particle oscillations in their mirror partners. Cosmological implications are also discussed.

Journal ArticleDOI
TL;DR: This paper provides an overview about existent designs, applications and alloys for use in actuators, as well as examples of new shape memory actuator application with improved performance.
Abstract: The use of shape memory alloys in actuators allows the development of robust, simple and lightweight elements for application in a multitude of different industries. Over the years, the intermetallic compound Nickel-Titanium (NiTi or Nitinol) together with its ternary and quaternary derivates has gained general acceptance as a standard alloy. Even though as many as 99% of all shape memory actuator applications make use of Nitinol there are certain properties of this alloy system which require further research in order to find improvements and new markets: • Lack of higher transformation temperatures in the available alloys in order to open the field of automotive applications (Mf temperature > 80 °C) • Non-linearity in the electrical resistivity in order to improve the controllability of the actuator, • Wide hysteresis in the temperature-vs.-strain behaviour, which has a signi-ficant effect on both, the dynamics of the actuator and its controllability. Hence, there is a constant strive in the field towards an improvement of the related properties. However, these improvements are not always just alloy composition related. There is also a tremendous potential in the thermomechanical treatment of the material and in the design of the actuator. Significant improvement steps are already possible if the usage of the existent materials is optimized for the projected application and if the actuator system is designed in the most efficient way. This paper provides an overview about existent designs, applications and alloys for use in actuators, as well as examples of new shape memory actuator application with improved performance. It also gives an overview about general design rules and reflects about the strengths of the material and the related opportunities for its application.

Journal ArticleDOI
TL;DR: In this article, the authors investigated the relation between changes in dynamic and thermodynamic anomalies arising from the presence of the liquid-liquid critical point in two models of water, TIP5P and ST2, and found a correlation between dynamic fragility crossover and the locus of specific heat maxima C max ("Widom line") emanating from the critical point.
Abstract: We present evidence from experiments and computer simulations supporting the hypothesis that water displays polyamorphism, ie, water sepa- rates into two distinct liquid phases This concept of a new liquid-liquid phase transition is finding application to other liquids as well as water, such as silicon and silica Specifically, we investigate, the relation between changes in dynamic and thermodynamic anomalies arising from the presence of the liquid-liquid critical point in (i) Two models of water, TIP5P and ST2, which display a first order liquid-liquid phase transition at low temperatures; (ii) the Jagla model, a spherically symmetric two-scale potential known to possess a liquid-liquid critical point, in which the competition between two liquid structures is generated by repulsive and attractive ramp interactions; and (iii) A Hamiltonian model of water where the idea of two length/energy scales is built in This model also displays a first order liquid-liquid phase transition at low temperatures besides the first order liquid-gas phase transition at high temperatures We find a correlation between the dynamic fragility crossover and the locus of specific heat maxima C max ("Widom line") emanating from the critical point Our findings are consistent with a possible relation between the previously hypothesised liquid-liquid phase transition and the transition in the dynamics recently observed in neutron scattering experiments on confined water More generally, we argue that this connection between C max P and the dynamic crossover is not limited to the case of water, a hydrogen bonded network liquid, but is a more general feature of crossing the Widom line, an extension of the first-order coexistence line in the supercritical region Dedicated to Armin Bunde on the occasion of his 60th birthday

Journal ArticleDOI
TL;DR: In this paper, the authors proposed the Fermionic molecular dynamics approach, which is based on the VUCOM interaction derived from the realistic Argonne V18 interaction by explicitly including shortrange central and tensor correlations within the Unitary Correlation Operator Method.
Abstract: Nuclei feature a rich variety of many-body phenomena. Especially the clustering of nucleons, which leads to molecule like structures, and halos formed by weakly bound nucleons are regarded as exotic phenomena that standard many-body methods like the shell model have difficulties to describe. On the other hand cluster models that build in such structures explicitly use very simplistic effective interactions and have often difficulties if shell model like configurations become important. In the Fermionic Molecular Dynamics approach we aim at a consistent description of well bound nuclei with shell structure as well as of nuclei featuring halos or clustering. We achieve this by exploiting the versatility of Gaussian wave packets. These are able to describe harmonic oscillator single-particle states and cluster states on the same footing. If we allow the width parameter to be a free variational parameter also halos can be described well in this basis. The many-body basis is given by Slater determinants of these wave packets. Different levels of sophistication can be achieved. In the simplest approach we perform a mean-field calculation by variation of the energy expectation value with respect to the single-particle parameters. The mean-field state might break the symmetries of the Hamiltonian which can be restored by explicit projection on parity, angular and linear momentum. In a more sophisticated approach we can perform the variation after projection. An approximate variation after projection can be done in the sense of the generator coordinate method where the intrinsic state is varied under constraints on generator coordinates like the radius or quadrupole deformation. Finally we can perform a multiconfiguration mixing calculation by diagonalizing the Hamiltonian in a set of projected many-body basis states. The same effective interaction is used for all nuclei. It is based on the VUCOM interaction derived from the realistic Argonne V18 interaction by explicitly including short-range central and tensor correlations within the Unitary Correlation Operator Method.

Journal ArticleDOI
TL;DR: In this paper, the authors define a class of multi-mode single photon states suitable for quantum information applications, and show how standard amplitude modulation techniques may be used to control the pulse shape of single-photon states.
Abstract: We define a class of multi-mode single photon states suitable for quantum information applications. We show how standard amplitude modulation techniques may be used to control the pulse shape of single photon states.

Journal ArticleDOI
TL;DR: Grebogi et al. as discussed by the authors proposed a pseudo-random number generator based on chaotic switching between Robust Chaos maps, which is found to successfully pass stringent statistical tests of randomness, and showed that random and chaotic switching of deterministic chaotic dynamical systems yield higher average length of periodic orbits as compared to simple sequential switching or absence of switching.
Abstract: Grebogi, Ott and Yorke (Phys. Rev. A 38, 1988) have investigated the effect of finite precision on average period length of chaotic maps. They showed that the average length of periodic orbits (T) of a dynamical system scales as a function of computer precision (e) and the correlation dimension (d) of the chaotic attractor: T ∼e-d/2. In this work, we are concerned with increasing the average period length which is desirable for chaotic cryptography applications. Our experiments reveal that random and chaotic switching of deterministic chaotic dynamical systems yield higher average length of periodic orbits as compared to simple sequential switching or absence of switching. To illustrate the application of switching, a novel generalization of the Logistic map that exhibits Robust Chaos (absence of attracting periodic orbits) is first introduced. We then propose a pseudo-random number generator based on chaotic switching between Robust Chaos maps which is found to successfully pass stringent statistical tests of randomness.

Journal ArticleDOI
TL;DR: The liquid-liquid phase transition (LLPT) hypothesis represents a reliable model for describing liquid water as discussed by the authors, which can be used to carry out a careful analysis of the well known thermodynamical anomalies of water.
Abstract: This article presents an overview of recent experiments performed on transport properties of water in the deeply supercooled region, a temperature region of fundamental importance in the science of water. We report data of nuclear magnetic resonance, quasi-elastic neutron scattering, Fourier-transform infrared spectroscopy, and Raman spectroscopy, studying water confined in nanometer-scale environments. When contained within small pores, water does not crystallise, and can be supercooled well below its homogeneous nucleation temperature Th. On this basis it is possible to carry out a careful analysis of the well known thermodynamical anomalies of water. Studying the temperature and pressure dependencies of water dynamics, we show that the liquid-liquid phase transition (LLPT) hypothesis represents a reliable model for describing liquid water. In this model, water in the liquid state is a mixture of two different local structures, characterised by different densities, namely the low density liquid (LDL) and the high-density liquid (HDL). The LLPT line should terminate at a special transition point: a low-T liquid-liquid critical point. We discuss the following experimental findings on liquid water: (i) a crossover from non-Arrhenius behaviour at high T to Arrhenius behaviour at low T in transport parameters; (ii) a breakdown of the Stokes-Einstein relation; (iii) the existence of a Widom line, which is the locus of points corresponding to maximum correlation length in the p-T phase diagram and which ends in the liquid-liquid critical point; (iv) the direct observation of the LDL phase; (v) a minimum in the density at approximately 70 K below the temperature of the density maximum. In our opinion these results represent the experimental proofs of the validity of the LLPT hypothesis.

Journal ArticleDOI
TL;DR: In this article, experimental studies on ion transport and diffusion in nanocrystalline and glassy ceramics of LiNbO3 and LiAlSi2O6 are reviewed.
Abstract: In the present paper we review experimental studies on ion transport and diffusion in nanocrystalline and glassy ceramics of LiNbO3 and LiAlSi2O6 and report on new ones on LiBO2 using the measurement of dc conductivities and 7Li nuclear magnetic resonance spin-lattice relaxation rates. Nanocrystalline ceramics, with an average particle size of 50 nm and less, often show an enhanced diffusivity compared to their microcrystalline (μm-sized) counterparts. This increase is due to the large fraction of atoms or ions located in the interfacial regions. A key for understanding the structure-mobility relations in nanocrystalline ceramics is to clarify the microscopic structure of the grain boundaries and also the morphology of the grain boundary network. In this context it is useful to study not only the ion transport properties of the nano- and microcrystalline materials but also those of the corresponding glassy forms. Such comparative studies gave strong evidence that in some cases the interfacial regions are of amorphous structure. For example, this was recently shown for nanocrystalline lithium niobate which was prepared by high-energy ball milling.

Journal ArticleDOI
TL;DR: In this article, the authors used a room temperature quantum cascade laser for the detection of chemical warfare agents (CWA) and explosives at sub-ppb level with very low false alarm rates.
Abstract: Tunable laser photoacoustic spectroscopy is maturing rapidly in its applications to real world problems. One of the burning problems of the current turbulent times is the threat of terrorist acts against civilian population. This threat appears in two distinct forms. The first is the potential release of chemical warfare agents (CWA), such as the nerve agents, in a crowded environment. An example of this is the release of Sarin by Aum Shinrikyo sect in a crowded Tokyo subway in 1995. An example of the second terrorist threat is the ever-present possible suicide bomber in crowded environment such as airports, markets and large buildings. Minimizing the impact of both of these threats requires early detection of the presence of the CWAs and explosives. Photoacoustic spectroscopy is an exquisitely sensitive technique for the detection of trace gaseous species, a property that Pranalytica has extensively exploited in its CO2 laser based commercial instrumentation for the sub-ppb level detection of a number of industrially important gases including ammonia, ethylene, acrolein, sulfur hexafluoride, phosphine, arsine, boron trichloride and boron trifluoride. In this presentation, I will focus, however, on our recent use of broadly tunable single frequency high power room temperature quantum cascade lasers (QCL) for the detection of the CWAs and explosives. Using external grating cavity geometry, we have developed room temperature QCLs that produce continuously tunable single frequency CW power output in excess of 300 mW at wavelengths covering 5μm to 12μm. I will present data that show a CWA detection capability at ppb levels with false alarm rates below 1:108. I will also show the capability of detecting a variety of explosives at a ppb level, again with very low false alarm rates. Among the explosives, we have demonstrated the capability of detecting homemade explosives such as triacetone triperoxide and its liquid precursor, acetone which is a common household liquid. This capability, deployed at airports and other public places, will go a long way towards increasing public safety and minimizing inconveniences faced in airline travel.

Journal ArticleDOI
TL;DR: In this article, the effective diffusion coefficient of two one-dimensional ABP models (simplified depot model and Rayleigh-Helmholtz model) differing in their nonlinear friction functions was studied.
Abstract: Active Brownian particles (ABP) have served as phenomenological models of self-propelled motion in biology. We study the effective diffusion coefficient of two one-dimensional ABP models (simplified depot model and Rayleigh-Helmholtz model) differing in their nonlinear friction functions. Depending on the choice of the friction function the diffusion coefficient does or does not attain a minimum as a function of noise intensity. We furthermore discuss the case of an additional bias breaking the left-right symmetry of the system. We show that this bias induces a drift and that it generally reduces the diffusion coefficient. For a finite range of values of the bias, both models can exhibit a maximum in the diffusion coefficient vs. noise intensity.

Journal ArticleDOI
TL;DR: The magnetic field line structure in a tokamak can be obtained by direct numerical integration of the field line equations as discussed by the authors, however, this is a lengthy procedure and the analysis of the solution may be very time-consuming.
Abstract: The magnetic field line structure in a tokamak can be obtained by direct numerical integration of the field line equations However, this is a lengthy procedure and the analysis of the solution may be very time-consuming Otherwise we can use simple two-dimensional, area-preserving maps, obtained either by approximations of the magnetic field line equations, or from dynamical considerations These maps can be quickly iterated, furnishing solutions that mirror the ones obtained from direct numerical integration, and which are useful when long-term studies of field line behavior are necessary (eg in diffusion calculations) In this work we focus on a set of simple tokamak maps for which these advantages are specially pronounced

Journal ArticleDOI
TL;DR: In this paper, the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions were reported.
Abstract: The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the effects of Coulomb and the three-body force are omitted while only the bare two-nucleon interaction at lowest order is considered. To cope with the finite-range and non-locality of the bare nuclear interaction, the 1S0 channel of Vlow k is mapped onto a convenient operator form. Neutron-neutron and proton-proton pairing correlations generated in finite nuclei by the direct term of the two-nucleon interaction are characterized in a systematic manner. Eventually, such predictions are compared to those obtained from empirical local functionals derived from density-dependent zero range interactions. The characteristics of the latter are analyzed in view of that comparison and a specific modification of their isovector density dependence is suggested to accommodate Coulomb effects and the isovector trend of neutron gaps at the same time.

Journal ArticleDOI
TL;DR: In this article, the influence of the material properties of the mirrors, as well as the geometry dependence of the Casimir effect between corrugated mirrors, are discussed in terms of the lateral component of Casimir force and restoring torque between metal plates with misaligned corrugations.
Abstract: The Casimir effect is a force arising in the macroscopic world as a result of radiation pressure of vacuum fluctuations. It thus plays a key role in the emerging domain of nano-electro-mechanical systems (NEMS). This role is reviewed in the present paper, with discussions of the influence of the material properties of the mirrors, as well as the geometry dependence of the Casimir effect between corrugated mirrors. In particular, the lateral component of the Casimir force and restoring torque between metal plates with misaligned corrugations are evaluated.

Journal ArticleDOI
TL;DR: In this article, a consistent QED perturbation theory approach is applied to calculation of the electron-nuclear γ-transition spectrum of nucleus in the multicharged ion.
Abstract: A consistent QED perturbation theory approach is applied to calculation of the electron-nuclear γ-transition spectrum of nucleus in the multicharged ion. The intensities of satellites are defined within the relativistic version of the energy approach (Gell-Mann and Low S-matrix formalism). As example, the nuclear transition in the isotope \(\begin{smallmatrix} 57 26 \end{smallmatrix}Fe\) with the energy 14.41 keV is considered. The results of the relativistic calculation for the electron-nuclear γ-transition spectrum (a set of electron satellites) of the nucleus in a multicharged atomic ion FeXIX are presented. The possible experiments for observation of the new effect in the thermalized plasma of the O-like ions are discussed. A consistent quantum approach to calculation of the electron-nuclear γ transition spectrum (a set of vibration-rotational satellites in a molecule) of nucleus in a molecule is proposed and based on the Dunham model potential approximation for potential curves of the diatomic molecules. Model proposed generelizes the well known Letokhov-Minogin model. The estimates are made for vibration-rotation-nuclear transition probabilities in a case of the emission and absorption spectrum of nucleus 127I (E(0)γ=203 keV) in the molecule of H127I.

Journal ArticleDOI
TL;DR: In this article, the lower bound of concurrence for multipartite quantum mixed states is investigated, and functional relations between concurrence and generalized partial transpositions are established for some systems.
Abstract: We investigate the lower bound of concurrence for multipartite quantum mixed states. Analytical lower bounds are derived for some multipartite systems, by establishing functional relations between concurrence and the generalized partial transpositions.

Journal ArticleDOI
TL;DR: In this article, the authors examined the influence of different fitting procedures and further potential nonconformities in the spectra of H2 absorptionsystems in the high-resolution data of the latter.
Abstract: The search for a possible variation of fundamental physical constants isnewsworthy more than ever A multitude of methods were developed So far theonly seemingly significant indication of a cosmological variation existsfor the proton-to-electron massratio as stated by Reinhold et al [1] The measuredindication of variation is based on the combined analysis of H2 absorptionsystems in the spectra ofQ0405-443 and Q0347-383 at zabs=2595 and zabs=3025, respectively The high resolution data of the latteris reanalyzed in this work to examine the influence of different fittingprocedures and further potential nonconformities This analysis cannotreproduce the significance achieved by the previous works

Journal ArticleDOI
TL;DR: In this paper, a simple model microswimmer composed of three spheres and propelling itself in a viscous fluid by spinning motion of the spheres under zero net torque constraint is presented.
Abstract: We report on dynamic properties of a simple model microswimmer composed of three spheres and propelling itself in a viscous fluid by spinning motion of the spheres under zero net torque constraint. At a fixed temperature and increasing the spinning frequency, the swimmer demonstrates a transition from dissipation-dominated to a pumping-dominated motion regime characterized by negative effective friction coefficient. In the limit of high frequencies, the diffusion of the swimmer can be described by a model of an active particle with constant velocity.