Double-action dark matter,PAMELA and ATIC

Motivated by a two-bump (or 1-peak plus 1-hump) structure in the ATIC data, we perform a statistical analysis fitting the PAMELA and ATIC data to a dark matter model, in which the dark matter particle can undergo both annihilation and decay. Using a chi-square analysis we show that both data can be simultaneously fitted better with such a double-action dark matter particle. We use an existing neutrino mass model in literature to illustrate the idea.     

Selective processing of semiconductor nanowires by polarized visible radiation

Semiconductor nanowires have attracted intense interest due to potential applications in electronics, sensors and photonics. Introduction of dopants and their subsequent activation are essential for exploiting the electronic properties of semiconductor materials. In this work, we demonstrate pulsed laser annealing of silicon nanowires by visible radiation to be an efficient way for activating incorporated dopants and repairing implantation damage in a process that is compatible with sensitive flexible substrates. In situ electrical monitoring was used to study the laser annealing process. The absorption of laser light in SiNWs was shown to be strongly dependent on the light polarization and nanowire diameter based on finite difference time domain simulations. PACS 42.62.-b; 64.70.Nd; 78.67.n; 81.16.c     

Optimal reinsurance–investment problem in a constant elasticity of variance stock market for jump‐diffusion risk model

In this paper, we consider the jump‐diffusion risk model with proportional reinsurance and stock price process following the constant elasticity of variance model. Compared with the geometric Brownian motion model, the advantage of the constant elasticity of variance model is that the volatility has correlation with the risky asset price, and thus, it can explain the empirical bias exhibited by the Black and Scholes model, such as volatility smile. Here, we study the optimal investment–reinsurance problem of maximizing the expected exponential utility of terminal wealth. By using techniques of stochastic control theory, we are able to derive the explicit expressions for the optimal strategy and value function. Numerical examples are presented to show the impact of model parameters on the optimal strategies. Copyright © 2011 John Wiley & Sons, Ltd.     

Relationship between the zeros of two polynomials

In this paper, we shall follow a companion matrix approach to study the relationship between zeros of a wide range of pairs of complex polynomials, for example, a polynomial and its polar derivative or Sz.-Nagy’s generalized derivative. We shall introduce some new companion matrices and obtain a generalization of the Weinstein-Aronszajn Formula which will then be used to prove some inequalities similar to Sendov conjecture and Schoenberg conjecture and to study the distribution of equilibrium points of logarithmic potentials for finitely many discrete charges. Our method can also be used to produce, in an easy and systematic way, a lot of identities relating the sums of powers of zeros of a polynomial to that of the other polynomial.     

Perfect state transfer in cubelike graphs

Suppose C is a subset of non-zero vectors from the vector space . The cubelike graphX(C) has as its vertex set, and two elements of are adjacent if their difference is in C. If M is the d×|C| matrix with the elements of C as its columns, we call the row space of M the code of X. We use this code to study perfect state transfer on cubelike graphs. Bernasconi et al. have shown that perfect state transfer occurs on X(C) at time π/2 if and only if the sum of the elements of C is not zero. Here we consider what happens when this sum is zero. We prove that if perfect state transfer occurs on a cubelike graph, then it must take place at time τ=π/2D, where D is the greatest common divisor of the weights of the code words. We show that perfect state transfer occurs at time π/4 if and only if D=2 and the code is self-orthogonal.     

X-ray photoemission of small platinum and palladium clusters

X-ray photoemission of the Pt(4f) and Pd(3d) core-levels of small Pt and Pd metal clusters have been investigated. As cluster size decreases, there is a reduction in the lineshape asymmetry, a broadening in the linewidth, and a shift of the core-level toward the higher binding energies. The changes in the linewidth and line asymmetry can be interpreted in terms of the final state effects — the changes in the response of the valence electrons to the core-hole as a function of the cluster size. The decrease in the lineshape asymmetry is due to the reduction in the low-energy electron-hole screening and the linewidth broadening is due to the damping of the plasmons by the boundary surface of the cluster.     

A finite element solution to turbulent diffusion in a convective boundary layer

A second-order closure turbulence model is used to simulate the plume behaviour of a passive contaminant dispersed in a convective boundary layer. A time-splitting finite element scheme is used to solve the set of partial differential equations. It is shown that the second-order closure model compares favourably with recent findings from laboratories, wind-tunnel experiments and large-eddy simulations. We also compare the second-order closure model with the commonly used K-diffusion model for the same meteorological conditions. Case studies also show the effects of model parameters and turbulence variables on the plume behaviour.     

Aqueous emulsion containing fluorous cobalt species in supercritical CO2 for catalytic air oxidation of toluene

An aqueous emulsion containing ionic Co2+ and Br- species stabilised by fluorous surfactant-like species in supercritical CO2-air mixture acts as a nano-reactor with excellent interfacial contacts of all necessary hydrophilic/hydrophobic species, which renders safe operation of catalytic aerial oxidation of toluene at high yields.     

Paramagnetism and shake-up satellites in X-ray photoelectron spectra

The correlation between paramagnetism and the shake-up satellites in the X-ray photoelectron spectra of the 3d transitional-metal compounds is examined and explained in terms of modified selection rules governing the shake-up transitions.