Dark Energy and Dark Matter Interaction: Kernels of Volterra Type and Coincidence Problem

We study a new exactly solvable model of coupling of the Dark Energy and Dark Matter, in the framework of which the kernel of non-gravitational interaction is presented by the integral Volterra-type operator well-known in the classical theory of fading memory. Exact solutions of this isotropic homogeneous cosmological model were classified with respect to the sign of the discriminant of the cubic characteristic polynomial associated with the key equation of the model. Energy-density scalars of the Dark Energy and Dark Matter, the Hubble function and acceleration parameter are presented explicitly; the scale factor is found in quadratures. Asymptotic analysis of the exact solutions has shown that the Big Rip, Little Rip, Pseudo Rip regimes can be realized with the specific choice of guiding parameters of the model. We show that the Coincidence problem can be solved if we consider the memory effect associated with the interactions in the Dark Sector of the Universe.Comment: 15 pages, 0 figures, Invited paper for the Special Issue "Cosmological Inflation, Dark Matter and Dark Energy" of the Journal Symmetry (MDPI), Special Issue Editor: Kazuharu Bamb

Relativistic Neutron Stars: Rheological Type Extensions of the Equations of State

Based on the Rheological Paradigm, one has extended the equations of state for relativistic spherically symmetric static neutron stars, taking into consideration the derivative of the matter pressure along the so-called director four-vector. The modified equations of state are applied to the model of a zero-temperature neutron condensate. This model includes one new parameter with the dimensionality of length, which describes the rheological type screening inside the neutron star. As an illustration of the new approach, one has considered the rheological type generalization of the non-relativistic Lane-Emden theory and found the numerical profiles of the pressure for a number of values of the new guiding parameter. One has found that the rheological type self-interaction makes the neutron star more compact, since the radius of the star, related to the first null of the pressure profile, decreases when the modulus of the rheological type guiding parameter grows.Comment: 14 pages, 1 figure, 1 tabl

Magnetic-field enhancement of performance of superconducting nanowire single-photon detector

We present SNSPDs from NbN nanowires shaped after square-spiral that allows an increase not only in critical currents but also an extension of spectral detection efficiencies by just applying an external magnetic field. Using negative electron-beam lithography with the positive resist for shaping nanowires, made it possible to reduce the inner bend radius. Consequently, the effect of critical-current enhancement in the magnetic field becomes stronger than it was demonstrated earlier. Here we achieved a 13% increase of the critical current in the magnetic field. We measured spectra of the single-photon detection efficiency in the wavelength range from 400 to 1100 nm in the magnetic field. At zero field, the square spiral has the spectrum similar to that of a meander. At the field providing the maximum of the critical current, the detection efficiency and the cut-off wavelength in the spectrum increase by 20% and by 54%, correspondingly. The magnetic-field dependence of dark count rate is well described by proposed analytical model

Magnetic-field enhancement of performance of superconducting nanowire single-photon detector

We present SNSPDs from NbN nanowires shaped after square-spiral that allows an increase not only in critical currents but also an extension of spectral detection efficiencies by just applying an external magnetic field. Using negative electron-beam lithography with the positive resist for shaping nanowires, made it possible to reduce the inner bend radius. Consequently, the effect of critical-current enhancement in the magnetic field becomes stronger than it was demonstrated earlier. Here we achieved a 13% increase of the critical current in the magnetic field. We measured spectra of the single-photon detection efficiency in the wavelength range from 400 to 1100 nm in the magnetic field. At zero field, the square spiral has the spectrum similar to that of a meander. At the field providing the maximum of the critical current, the detection efficiency and the cut-off wavelength in the spectrum increase by 20% and by 54%, correspondingly. The magnetic-field dependence of dark count rate is well described by proposed analytical model

Interaction of the Cosmic Dark Fluid with Dynamic Aether: Parametric Mechanism of Axion Generation in the Early Universe

We consider an isotropic homogeneous cosmological model with five interacting elements: first, the dynamic aether presented by a unit timelike vector field, second, the pseudoscalar field describing an axionic component of the dark matter, third, the cosmic dark energy, described by a rheologic fluid, fourth, the non-axionic dark matter coupled to the dark energy, fifth, the gravity field. We show that the early evolution of the Universe described by this model can include two specific epochs: the first one can be characterized as a super-inflation, the second epoch is associated with an oscillatory regime. The dynamic aether carries out a regulatory mission; the rheologic dark fluid provides the specific features of the spacetime evolution. The oscillations of the scale factor and of the Hubble function are shown to switch on the parametric (Floquet - type) mechanism of the axion number growth.Comment: 21 pages, 4 figures, accepted for publication in Symmetry, Special Issue: Fundamental Aspects of Theoretical Physics - Memorial Issue for Prof. Dr. Weinber

SQUID-Readout for the Superconducting Nanowire Single-Photon Detector

Superconducting single-photon detectors from thin niobium nitride nanostrips exhibit a near-infrared cut-off of the wavelength-independent quantum efficiency along with a moderate energy resolution in the wavelength range around the cut-off. For the wavelength range before the cut-off, we have developed the electro-thermal model that describes the initial growth, diminution and disappearance of the normal domain created by a photon in the superconducting nanostrip. The response parameters extracted from the model fit were used to optimize the signal-to-noise ratio of the SQUID-based readout and to achieve in the temperature range from 1 to 4 K a photon counting frequency of 20 MHz and a dark count rate less than four in one hour

Ultra-thin NbN films on Si: crystalline and superconducting properties

We present results on superconducting and crystalline properties of NbN films with a thickness smaller than 10 nm. The films were deposited using reactive magnetron sputtering on heated silicon substrates. Zero resistance critical temperatures of about 9 K have been measured for films with a thickness of about 5 nm and reaches values ≈12 K for 10 nm thick films. A value of the superconducting coherence length of about 4 nm was estimated from the measurements of the second critical magnetic field. High-resolution transmission electron microscopy accompanied with electron-spectroscopy techniques was used to analyze the structure, thickness, and film-substrate interface of fabricated films. The interrelations between fabrication conditions, superconducting and crystalline properties of NbN films on Si substrates are presented and discussed