Stability of a quadratic Jensen type functional equation in the spaces of generalized functions

AbstractMaking use of the fundamental solution of the heat equation we find the solution and prove the stability theorem of the quadratic Jensen type functional equation9f(x+y+z3)+f(x)+f(y)+f(z)=4[f(x+y2)+f(y+z2)+f(z+x2)] in the spaces of Schwartz tempered distributions and Fourier hyperfunctions

Solar and supernova neutrino physics with future NaI(Tl) dark matter search detectors

We investigate the prospects for measuring the coherent elastic neutrino-nucleus scattering of solar and supernova neutrinos in future NaI(Tl) dark matter detection experiments. Considering the reduced background and improved light yield of the recently developed NaI(Tl) crystals, more than 3$\sigma$ observation sensitivities of the supernova neutrino within the Milky Way are demonstrated. In the case of the solar neutrino, approximately 3 observations are marginal with a 1 ton NaI(Tl) experiment assuming an order of magnitude reduced background, five photoelectron thresholds, and 5-year data exposure

In-medium modification of P-wave charmonia from QCD sum rules

We investigate the changes of the masses and widths of $\chi_{c0}$ and $\chi_{c1}$ in hot gluonic matter near $T_c$ and in nuclear medium using QCD sum rules. As in the previous works for the $J/\psi$ and $\eta_c$, in-medium effects are incorporated through the changes of gluon condensates. Twist-2 terms for the $^3 P_0 (\chi_{c0})$ and $^3 P_1 (\chi_{c1})$ are also included for the first time. The results show that larger mass shifts and width broadenings take place as compared to the $S$-wave states. As the critical change take place near $T_c$, related measurements can reveal critical phenomenon in QCD.Comment: 7 pages, 6 figures, to be published in Phys.Rev.

Rubisco activity and gene expression of tropical tree species under light stress

Tropical rain forests contain an ecologically and physiologically diverse range of vegetation and habitats. Sun-acclimated plants can be divided into two groups, shade-tolerant and shade-intolerant, according to the plant’s physiological and genetic responses. Some tropical species have potential capacity for light damage in a shaded environment as well as shade-tolerance to compensate for the impaired light harvesting complex. In particular, ribulose‐1,5‐bisphosphate carboxylase/oxygenase (Rubisco) is regulated by the Calvin cycle, which participated in protein synthesis. Rubisco plays a role in CO2 fixation, which helps supply the energy to regulate Rubisco for ribulose 1,5-bisphosphate (RuBP) reduction. Light intensity is associated with the photosynthetic rate and genetic response to moderate growth environments.Keywords: Gene expression, growth, light intensity, Rubisco activityAfrican Journal of Biotechnology Vol. 12(20), pp. 2764-276

Ballistic Transport in Carbon Nanotubes from First-Principles Molecular Dynamics Simulations

We determined the Landauer ballistic conductance of pristine nanotubes at finite temperature via a novel scheme that combines ab-initio molecular dynamics, maximally-localized Wannier functions, and a tight-binding formulation of electronic transport in nanostructures. Large-scale ab-initio molecular dynamics simulations are used to obtain efficiently accurate trajectories in phase space. The extended Bloch orbitals for states along these trajectories are converted into maximally-localized orbitals, providing an exact mapping of the ground-state electronic structure onto a short-ranged Hamiltonian. Green's functions, self-energies, and ballistic conductance can then be obtained for any given configuration, and averaged over the appropriate statistical ensemble.Singapore-MIT Alliance (SMA

Multi-channel Scanning SQUID Microscopy

I designed, fabricated, assembled, and tested an 8-channel high-Tc scanning SQUID system. I started by modifying an existing single-channel 77 K high-Tc scanning SQUID microscope into a multi-channel system with the goal of reducing the scanning time and improving the spatial resolution by increasing the signal-to-noise ratio S/N. I modified the window assembly, SQUID chip assembly, cold-finger, and vacuum connector. The main concerns for the multi-channel system design were to reduce interaction between channels, to optimize the use of the inside space of the dewar for more than 50 shielded wires, and to achieve good spatial resolution. In the completed system, I obtained the transfer function and the dynamic range (Fmax ~ 11F0) for each SQUID. At 1kHz, the slew rate is about 3000 F0/s. I also found that the white noise level varies from 5 mF0 /Hz1/2 to 20 mF0 /Hz1/2 depending on the SQUID. A new data acquisition program was written that triggered on position and collects data from up to eight SQUIDs. To generate a single image from the multi-channel system, I calibrated the tilt of the xy-stage and z-stage manually, rearranged the scanned data by cutting overlapping parts, and determined the applied field by multiplying by the mutual inductance matrix. I found that I could reduce scanning time and improve the image quality by doing so. In addition, I have analyzed and observed the effect of position noise on magnetic field images and used these results to find the position noise in my scanning SQUID microscope. My analysis reveals the relationship between spatial resolution and position noise and that my system was dominated by position noise under typical operating conditions. I found that the smaller the sensor-sample separation, the greater the effect of position noise is on the total effective magnetic field noise and on spatial resolution. By averaging several scans, I found that I could reduce position noise and that the spatial resolution can be improved somewhat. Using a current injection technique with an x-SQUID, and (i) subtracting high-frequency data from low-frequency data, or (ii) taking the derivative of magnetic field Bx with respect to x, I show that I can find defects in superconducting MRI wires