A Model for Type-IIP Supernovae with Medium Recombination Approximation

In this paper, we propose a new light-curve model for Type-IIP supernovae (SNe IIP) with an approximation of medium recombination. Recombination of hydrogen that takes place in the envelope is believed highly affect the light curves of SNe IIP. The propagation of the recombination wave through the expanding envelope is crucial to determine the temperature and the bolometric luminosity. Several approximations were made in previous works to determine the recombination front, which plays a role as the pseudo-photosphere. With the Eddington boundary condition, we let the actual photosphere be the boundary to determine the time evolution of temperature profile of the envelope and calculate the bolometric luminosity. A new approximation on the speed of recombination wave is introduced to get a closer result to the real situation. We abandon the non-self-consistent approximations made in former works and solve the initial hump problem in the previous attempt for the slow recombination approximation. The produced light curves show the necessity of this approximation and fit the observation well.Comment: 14 pages, 10 figures, 5 tables. Submitted to ApJ, welcome for comments

Individual position diversity in dependence socioeconomic networks increases economic output

The availability of big data recorded from massively multiplayer online role-playing games (MMORPGs) allows us to gain a deeper understanding of the potential connection between individuals' network positions and their economic outputs. We use a statistical filtering method to construct dependence networks from weighted friendship networks of individuals. We investigate the 30 distinct motif positions in the 13 directed triadic motifs which represent microscopic dependences among individuals. Based on the structural similarity of motif positions, we further classify individuals into different groups. The node position diversity of individuals is found to be positively correlated with their economic outputs. We also find that the economic outputs of leaf nodes are significantly lower than that of the other nodes in the same motif. Our findings shed light on understanding the influence of network structure on economic activities and outputs in socioeconomic system.Comment: 19 pages, 5 figure

Single photo-electron trapping, storage, and detection in a one-electron quantum dot

There has been considerable progress in electro-statically emptying, and re-filling, quantum dots with individual electrons. Typically the quantum dot is defined by electrostatic gates on a GaAs/AlGaAs modulation doped heterostructure. We report the filling of such a quantum dot by a single photo-electron, originating from an individual photon. The electrostatic dot can be emptied and reset in a controlled fashion before the arrival of each photon. The trapped photo-electron is detected by a point contact transistor integrated adjacent to the electrostatic potential trap. Each stored photo-electron causes a persistent negative step in the transistor channel current. Such a controllable, benign, single photo-electron detector could allow for information transfer between flying photon qubits and stored electron qubits.Comment: 4 Pages, 5 Figure