Stationary perturbation configurations in a composite system of stellar and coplanarly magnetized gaseous singular isothermal discs

We construct aligned and unaligned stationary perturbation configurations in a composite system of stellar and coplanarly magnetized gaseous singular isothermal discs (SIDs) coupled by gravity. In comparison with SID problems studied earlier, there exist three possible classes of stationary solutions allowed by more dynamic freedoms. Our exact global perturbation solutions and critical points are valuable for testing numerical magnetohydrodynamic codes. For galactic applications, our model analysis contains more realistic elements and offer useful insights for structures and dynamics of disc galaxies consisting of stars and magnetized gas.Comment: 25 pages, 31 figures, accepted by Monthly Notices of Royal Astronomical Society, style files include

LHC limits on axion-like particles from heavy-ion collisions

In these proceedings we use recent LHC heavy-ion data to set a limit on axion-like particles coupling to electromagnetism with mass in the range 10-100 GeV. We recast ATLAS data as per the strategy proposed in 1607.06083, and find results in-line with the projections given there.Comment: 4 pages, 3 figures, conference proceeding for PHOTON201

Establishing a Suitable Lay Participation System for the Taiwanese Criminal Justice System

This research focuses on a recent judicial reform measure proposed by the Taiwanese Judicial Yuan in 2011. The measure’s objective was to improve the criminal justice system via the implementation of a so-called “lay observer system.” The dissertation begins with an analysis regarding whether the Taiwanese criminal justice system needs to reform, and it considers whether the introduction of the proposed lay observer system would be a reasonable means of achieving the Judicial Yuan’s goals and meeting its expectations, which include rebuilding the Taiwanese society’s trust in the professional judges’ credibility and the court’s fairness. The second part of this dissertation delves into historical research. Not only does this section discuss those traditional lay participation trial patterns, which include the jury systems and lay judge systems, but it also examines the mixture systems in Japan and South Korea. This helps to better understand and determine the origins of lay participation systems in different countries. In addition, by addressing the reasons as to why previous attempts to implement lay participation systems in Taiwan have failed and by looking at contemporary concerns regarding lay participation, this dissertation will challenge and resolve probable constitutional issues pertaining to the implementation of the proposed lay observer system. Moreover, historical analysis as well as a comparison of the various lay participation systems, confirm that Taiwan’s current proposed system is the best means of improving the Taiwanese criminal justice system. Lastly, the dissertation will give practical recommendations and remind remaining issues with regard to the proposed system to ensure that defendants receive fairer and just trial proceedings once the proposed lay observer system is established in Taiwan

Structures in a class of magnetized scale-free discs

We construct analytically stationary global configurations for both aligned and logarithmic spiral coplanar magnetohydrodynamic (MHD) perturbations in an axisymmetric background MHD disc with a power-law surface mass density $\Sigma_0\propto r^{-\alpha}$, a coplanar azimuthal magnetic field $B_0\propto r^{-\gamma}$, a consistent self-gravity and a power-law rotation curve $v_0\propto r^{-\beta}$ where $v_0$ is the linear azimuthal gas rotation speed. The barotropic equation of state $\Pi\propto\Sigma^{n}$ is adopted for both MHD background equilibrium and coplanar MHD perturbations where $\Pi$ is the vertically integrated pressure and $n$ is the barotropic index. For a scale-free background MHD equilibrium, a relation exists among $\alpha$, $\beta$, $\gamma$ and $n$ such that only one parameter (e.g., $\beta$) is independent. For a linear axisymmetric stability analysis, we provide global criteria in various parameter regimes. For nonaxisymmetric aligned and logarithmic spiral cases, two branches of perturbation modes (i.e., fast and slow MHD density waves) can be derived once $\beta$ is specified. To complement the magnetized singular isothermal disc (MSID) analysis of Lou, we extend the analysis to a wider range of $-1/4<\beta<1/2$. As an example of illustration, we discuss specifically the $\beta=1/4$ case when the background magnetic field is force-free. Angular momentum conservation for coplanar MHD perturbations and other relevant aspects of our approach are discussed.Comment: 25 page