An Analytical Technique,Based on Natural Transform to Solve Fractional-Order Parabolic Equations

This research article is dedicated to solving fractional-order parabolic equations using an innovative analytical technique. The Adomian decomposition method is well supported by natural transform to establish closed form solutions for targeted problems. The procedure is simple, attractive and is preferred over other methods because it provides a closed form solution for the given problems. The solution graphs are plotted for both integer and fractional-order, which shows that the obtained results are in good contact with the exact solution of the problems. It is also observed that the solution of fractional-order problems are convergent to the solution of integer-order problem. In conclusion, the current technique is an accurate and straightforward approximate method that can be applied to solve other fractional-order partial differential equations.     

Integrated photonic crystal spectrometers for sensing applications

A combination of negative refraction and diffraction compensation in a superprism-based photonic crystal structure is used to demonstrate a compact on-chip photonic crystal spectrometer. This structure provides strong dispersion and signal isolation, which are essential for forming an efficient and compact spectrometer. Performance of these spectrometers as spectral pattern detectors is discussed. The experimental results show that a PC structure with 80 μm × 220 μm dimension can locate a single spectral feature with better than 10 pm accuracy over a bandwidth of 50 nm around 1550 nm center wavelength at an output signal-to-noise ratio of 13 dB.     

Dynamics of hot carrier cooling in photo-excited GaAs

Carrier relaxation following excitation with subpicosecond optical pulses, determined from time resolved nearband gap transmission spectrum changes, is described for GaAs. For n < 5×10¹⁷cm^-3 the observed relaxation can be related to carrier-phonon interaction, but at higher densities the rate of relaxation is significantly slowed, possibly due to carrier screening.     

Projective degenerations of enriques' surfaces

Mathematische Annalen -     

Polarography of mixed-ligand complexes of copper with some amino-acids and oxalate

Mixed-ligand complexes formed by copper(II) with an amino-acid (aspartic acid, glutamic acid or lysine) and oxalic acid have been investigated polarographically. These 1:1:1 complexes all undergo a two-electron reduction at the dropping mercury electrode. The stability constants computed from the shift in half-wave potential with changing ligand are discussed from the point of view of steric, electrostatic and statistical considerations.     

Monte Carlo simulations of gas solubility in the ionic liquid 1-n-butyl-3-methylimidazolium hexafluorophosphate

The Henry's constants of water, carbon dioxide, ethane, ethene, methane, oxygen, and nitrogen are computed in the ionic liquid 1-n-butyl-3-methylimidazolium hexafluorophosphate ([bmim][PF(6)]) using test particle insertion and expanded ensemble Monte Carlo methods. The partial molar enthalpy and partial molar entropy of solvation are also computed for water, carbon dioxide, and oxygen. The results from the simulations are compared against experimental data from the literature. In addition, the accuracy and precision of the two methods in determining the Henry's constant are examined. Local organization of the ionic liquid around a solute molecule is analyzed, and the interactions responsible for the experimentally observed solubility trends are identified.