Direct Integration of the Collisionless Boltzmann Equation in Six-dimensional Phase Space: Self-gravitating Systems

We present a scheme for numerical simulations of collisionless self-gravitating systems which directly integrates the Vlasov--Poisson equations in six-dimensional phase space. By the results from a suite of large-scale numerical simulations, we demonstrate that the present scheme can simulate collisionless self-gravitating systems properly. The integration scheme is based on the positive flux conservation method recently developed in plasma physics. We test the accuracy of our code by performing several test calculations including the stability of King spheres, the gravitational instability and the Landau damping. We show that the mass and the energy are accurately conserved for all the test cases we study. The results are in good agreement with linear theory predictions and/or analytic solutions. The distribution function keeps the property of positivity and remains non-oscillatory. The largest simulations are run on 64^6 grids. The computation speed scales well with the number of processors, and thus our code performs efficiently on massively parallel supercomputers.Comment: 35 pages, 19 figures. Submitted to the Astrophysical Journa

Dynamic Pairing Effects on Low-Frequency Modes of Excitation in Deformed Mg Isotopes close to the Neutron Drip Line

Low-frequency quadrupole vibrations in deformed ${}^{36,38,40}$Mg are studied by means of the deformed Quasiparticle-RPA based on the coordinate-space Hartree-Fock-Bogoliubov formalism. Strongly collective $K^{\pi}=0^{+}$ and $2^{+}$ excitation modes (carrying 10-20 W.u.) are obtained at about 3 MeV. It is found that dynamical pairing effects play an essential role in generating these modes. It implies that the lowest $K^{\pi}=0^{+}$ excitation modes are particularly sensitive indicators of dynamical pairing correlations in deformed nuclei near the neutron drip line.Comment: Talk given at Int. Conference "Finite Fermionic Systems: Nilsson Model 50 Years", Lund, Sweden, June 14-18, 200

Using Conservative Estimation for Conditional Probability instead of Ignoring Infrequent Case

There are several estimators of conditional probability from observed frequencies of features. In this paper, we propose using the lower limit of confidence interval on posterior distribution determined by the observed frequencies to ascertain conditional probability. In our experiments, this method outperformed other popular estimators.Comment: The 2016 International Conference on Advanced Informatics: Concepts, Theory and Application (ICAICTA2016

Microscopic description of large-amplitude shape-mixing dynamics with local QRPA inertial functions

We introduce a microscopic approach to derive all the inertial functions in the five-dimensional quadrupole collective Hamiltonian. Local normal modes are evaluated on the constrained mean field in the quasiparticle random-phase approximation in order to derive the inertial functions. The collective Hamiltonians for neutron-rich Mg isotopes are determined with use of this approach, and the shape coexistence/mixing around the N = 20 region is analyzed.Comment: 6 pages, 2 figures, Talk given at International Symposium New Faces of Atomic Nuclei, Okinawa, Japan, Nov. 15-17, 201

Innovative Sport Consumption Experience: An Empirical Test in Spectator and Participant Sports

Understanding what aspects of sport consumption experiences are necessary to be innovative to gain and sustain long-term competitive advantage is a key issue in sport marketing. Presented herein is a multi-dimensional conceptualization of innovative sport consumption experiences, including six dimensions: sport performance, aesthetic environment, facility convenience, online services, brand community, and loyalty programs. Data were collected from spectators at a professional baseball game and users of a running station in Japan. Through a confirmatory factor analysis (CFA) and structural equation modeling (SEM), we assessed the construct and nomological validity of the proposed scale to measure the innovative sport consumption experience. In both settings, aesthetic environment innovativeness was the dominant factor in enhancing consumer satisfaction and brand attitude. Furthermore, the effects of brand community innovativeness on consumer satisfaction, brand attitude, and behavioral intentions were positive and significant for the baseball sample, while online services innovativeness positively influenced consumer satisfaction and brand attitude in the running station setting. The proposed framework was a useful model for understanding consumers\u27 assessments of innovative sport consumption experiences based on specific innovation points