Buneman instability in a magnetized current-carrying plasma with velocity shear

Buneman instability is often driven in magnetic reconnection. Understanding how velocity shear in the beams driving the Buneman instability affects the growth and saturation of waves is relevant to turbulence, heating, and diffusion in magnetic reconnection. Using a Mathieu-equation analysis for weak cosine velocity shear together with Vlasov simulations, the effects of shear on the kinetic Buneman instability are studied in a plasma consisting of strongly magnetized electrons and cold unmagnetized ions. In the linearly unstable phase, shear enhances the coupling between oblique waves and the sheared electron beam, resulting in a wider range of unstable eigenmodes with common lower growth rates. The wave couplings generate new features of the electric fields in space, which can persist into the nonlinear phase when electron holes form. Lower hybrid instabilities simultaneously occur at $k_{\shortparallel}/k_{\perp} \sim \sqrt{m_e/m_i}$ with a much lower growth rate, and are not affected by the velocity shear.Comment: Accepted by Physics of Plasm

Persistent spin current in mesoscopic ferrimagnetic spin ring

Using a semiclassical approach, we study the persistent magnetization current of a mesoscopic ferrimagnetic ring in a nonuniform magnetic field. At zero temperature, there exists persistent spin current because of the quantum fluctuation of magnons, similar to the case of an antiferromagnetic spin ring. At low temperature, the current shows activation behavior because of the field-induced gap. At higher temperature, the magnitude of the spin current is proportional to temperature T, similar to the reported result of a ferromagnetic spin ring.Comment: 6 pages, 3 figures, one more reference adde

Player valuation in thin markets: the case of European Association football

The amount of money in football is staggering and is a concern for people of all walks of life. While these concerns are valid, the money in football is justified and consumers of football as a form of entertainment, actively participate in the set-up of this labour market. Thanks to the availability of market value, wage, and transfer fee data for the most valued production workers (players) and bolstered by the emergence of data analytics firms to crunch large amounts of performance data in real time, it is possible to analyse and better understand the monetary worth of the most talented players, and the role of each stakeholder in the buildup of this value. This 3-essay series uses Mincer’s (1985) human capital formulation and multilevel regression analyses to provide a complete study of the different money centers that underlie player valuation.Essay 1 analyses player market values – values attributed by football fans via crowd-sourced open forums online. Market values (Transfermarkt values) that are used in actual transfer and salary negotiations are driven by both football and non-football related factors. From a sample of 500 offensive player observations in the big 5 European leagues for the 2017/18 and 2018/19 seasons, this essay analyses 12 data points per player observation, hence 6,000 data points in total, using a series of multilevel regression models to isolate the proportion of player market value based solely on talent (performance and demographic). Results show that the proportion of market value due to talent decreases as market value increases. For the players sampled, the mean impact of talent on overall market value is 77%. Essay 2 analyses the transfer fee premia. The difference between the amount paid for the transfer of a football player and his crowd-sourced market valuation at the time of transfer (transfer premium) is dependent on several factors some of which are not measurable. This essay analyses 30 top transfers per season over the decade 2011 – 2020 and shows that buying clubs exhibit risk tolerance in that they spend a sizeable premium on young promising players compared to mature players with proven talent. The breach of a player’s current contract and player’s overall performance rating during the previous season also play significant roles in the size of the transfer premium.Essay 3 looks at the top end of the football market valuation and shows that there are no diminishing returns on player wages as age increases. An analysis of the 90th percentile of football players in Europe’s ‘big 5’ leagues, ranked by Transfermarkt market value, shows that mature players earn 112% more than young players, while mid age players earn 64% more than young players. Transfers in this market segment come with a wage penalty, but compared to young players, mature players get an offset. Player performance and minutes played in the preceding season do not matter much in wage determination as players in this market segment already have reputation built over the years. Player popularity has a small positive effect on the basic wage of football players compared to the impact on their bonuses and image rights.The player labour markets shows that clubs exhibit risk tolerance in player transfers by their willingness to spend huge amounts on the transfer of young players with no proven talent in the hopes that this investment will pay-off in the future. On the other hand, when it comes to wages, clubs exhibit risk aversion as they pay much higher wages to mature players with proven talent

Optical Interferometry of early-type stars with PAVO@CHARA. I. Fundamental stellar properties

We present interferometric observations of 7 main-sequence and 3 giant stars with spectral types from B2 to F6 using the PAVO beam combiner at the CHARA array. We have directly determined the angular diameters for these objects with an average precision of 2.3%. We have also computed bolometric fluxes using available photometry in the visible and infrared wavelengths, as well as space-based ultraviolet spectroscopy. Combined with precise \textit{Hipparcos} parallaxes, we have derived a set of fundamental stellar properties including linear radius, luminosity and effective temperature. Fitting the latter to computed isochrone models, we have inferred masses and ages of the stars. The effective temperatures obtained are in good agreement (at a 3% level) with nearly-independent temperature estimations from spectroscopy. They validate recent sixth-order polynomial (B-V)-$T_\mathrm{eff}$ empirical relations \citep{Boyajian2012a}, but suggest that a more conservative third-order solution \citep{vanBelle2009} could adequately describe the (V-K)-$T_\mathrm{eff}$ relation for main-sequence stars of spectral type A0 and later. Finally, we have compared mass values obtained combining surface gravity with inferred stellar radius (\textit{gravity mass}) and as a result of the comparison of computed luminosity and temperature values with stellar evolutionary models (\textit{isochrone mass}). The strong discrepancy between isochrone and gravity mass obtained for one of the observed stars, $\gamma$\,Lyr, suggests that determination of the stellar atmosphere parameters should be revised.Comment: 13 pages, 9 figures, accepted for publication in MNRA

Effect of in-plane magnetic field on magnetic phase transitions in nu=2 bilayer quantum Hall systems

By using the effective bosonic spin theory, which is recently proposed by Demler and Das Sarma [ Phys. Rev. Lett. 82, 3895 (1999) ], we analyze the effect of an external in-plane magnetic field on the magnetic phase transitions of the bilayer quantum Hall system at filling factor nu=2. It is found that the quantum phase diagram is modified by the in-plane magnetic field. Therefore, quantum phase transitions can be induced simply by tilting the magnetic field. The general behavior of the critical tilted angle for different layer separations and interlayer tunneling amplitudes is shown. We find that the critical tilted angles being calculated agree very well with the reported values. Moreover, a universal critical exponent for the transition from the canted antiferromagnetic phase to the ferromagnetic phase is found to be equal to 1/2 within the present effective theory.Comment: RevTeX, 4 pages with 3 EPS figures include

Finite-temperature phase transitions in ν=2\nu=2 bilayer quantum Hall systems

In this paper, the influence of an in-plane magnetic field B_\parallel on the finite-temperature phase transitions in nu=2 bilayer quantum Hall systems are examined. It is found that there can exist two types of finite-temperature phase transitions. The first is the Kosterlitz-Thouless (KT) transitions, which can have an unusual non-monotonic dependence on B_\parallel; the second type originates from the crossing of energy levels and always increases with B_\parallel. Based on these results, we point out that the threshold temperature observed in the inelastic light scattering experiments cannot be the KT transition temperature, because the latter shows a totally different B_\parallel-dependence as compared with the experimental observation. Instead, it should be the level-crossing temperature, which we found agrees with the B_\parallel-dependence observed. Moreover, combining the knowledge of these two transition temperatures, a complete finite-temperature phase diagram is presented.Comment: RevTeX, 5 pages with 3 EPS figures include

Hysteresis effect in \nu=1 quantum Hall system under periodic electrostatic modulation

The effect of a one-dimensional periodic electrostatic modulation on quantum Hall systems with filling factor \nu=1 is studied. We propose that, either when the amplitude of the modulation potential or the tilt angle of the magnetic field is varied, the system can undergo a first-order phase transition from a fully spin-polarized homogeneous state to a partially spin-polarized charge-density-wave state, and show hysteresis behavior of the spin polarization. This is confirmed by our self-consistent numerical calculations within the Hartree-Fock approximation. Finally we suggest that the \nu=1/3 fractional quantum Hall state may also show similar hysteresis behavior in the presence of a periodic potential modulation.Comment: RevTeX, 4 page, 3 EPS figure

A comparison of weak-turbulence and PIC simulations of weak electron-beam plasma interaction

Quasilinear theory has long been used to treat the problem of a weak electron beam interacting with plasma and generating Langmuir waves. Its extension to weak-turbulence theory treats resonant interactions of these Langmuir waves with other plasma wave modes, in particular ion-sound waves. These are strongly damped in plasma of equal ion and electron temperatures, as sometimes seen in, for example, the solar corona and wind. Weak turbulence theory is derived in the weak damping limit, with a term describing ion-sound wave damping then added. In this paper we use the EPOCH particle-in-cell code to numerically test weak turbulence theory for a range of electron-ion temperature ratios. We find that in the cold ion limit the results agree well, but increasing ion temperature the three-wave resonance becomes broadened in proportion to the ion-sound wave damping rate. This may be important in, for example, the theory of solar radio bursts, where the spectrum of Langmuir waves is critical. Additionally we establish lower limits on the number of simulation particles needed to accurately reproduce the electron and wave distributions in their saturated states, and to reproduce their intermediate states and time evolution.Comment: Accepted by PO

Horn-Coupled, Commercially-Fabricated Aluminum Lumped-Element Kinetic Inductance Detectors for Millimeter Wavelengths

We discuss the design, fabrication, and testing of prototype horn-coupled, lumped-element kinetic inductance detectors (LEKIDs) designed for cosmic microwave background (CMB) studies. The LEKIDs are made from a thin aluminum film deposited on a silicon wafer and patterned using standard photolithographic techniques at STAR Cryoelectronics, a commercial device foundry. We fabricated twenty-element arrays, optimized for a spectral band centered on 150 GHz, to test the sensitivity and yield of the devices as well as the multiplexing scheme. We characterized the detectors in two configurations. First, the detectors were tested in a dark environment with the horn apertures covered, and second, the horn apertures were pointed towards a beam-filling cryogenic blackbody load. These tests show that the multiplexing scheme is robust and scalable, the yield across multiple LEKID arrays is 91%, and the noise-equivalent temperatures (NET) for a 4 K optical load are in the range 26\thinspace\pm6 \thinspace \mu \mbox{K} \sqrt{\mbox{s}}