Fitting Single Particle Energies in sdgh Major Shell

We have performed two kinds of non-linear fitting procedures to the single-particle energies in the sdgh major shell to obtain better shell model results. The low-lying energy eigenvalues of the light Sn isotopes with A = 103- 110 in the sdgh-shell are calculated in the framework of the nuclear shell model by using CD-Bonn two-body effective nucleonnucleon interaction. The obtained energy eigenvalues are fitted to the corresponding experimental values by using two different non-linear fitting procedures, i.e., downhill simplex method and clonal selection method. The unknown single-particle energies of the states 2s1/2, 1d3/2, and 0h11/2are used in the fitting methods to obtain better spectra of the104,106,108,110 Sn isotopes. We compare the energy spectra of the104,106,108,110 Sn and103,105,107,109 Sn isotopes with/without a nonlinear fit to the experimental results.     

On the Coupling Time of the Heat-Bath Process for the Fortuin–Kasteleyn Random–Cluster Model

We consider the coupling from the past implementation of the random–cluster heat-bath process, and study its random running time, or coupling time. We focus on hypercubic lattices embedded on tori, in dimensions one to three, with cluster fugacity at least one. We make a number of conjectures regarding the asymptotic behaviour of the coupling time, motivated by rigorous results in one dimension and Monte Carlo simulations in dimensions two and three. Amongst our findings, we observe that, for generic parameter values, the distribution of the appropriately standardized coupling time converges to a Gumbel distribution, and that the standard deviation of the coupling time is asymptotic to an explicit universal constant multiple of the relaxation time. Perhaps surprisingly, we observe these results to hold both off criticality, where the coupling time closely mimics the coupon collector’s problem, and also at the critical point, provided the cluster fugacity is below the value at which the transition becomes discontinuous. Finally, we consider analogous questions for the single-spin Ising heat-bath process.     

A framing theory-based content analysis of a Turkish newspaper’s coverage of nanotechnology

This study aims at examining how nanotechnology is covered in Turkish print media. As an initial part of this objective, a total of 76 articles derived from a widespread national newspaper were analyzed based on the framing theory. These articles were analyzed using both quantitative and qualitative traditions of content analysis; however, the quantitative method was the primary form of investigation. The analyses showed that the first news about nanotechnology appeared in 1991 and the frequencies of articles had increased in the subsequent years; but the number of articles had decreased after a while. The findings demonstrated a remarkable positive tone in the articles; there were only a few articles in negative tones and these articles were published in the first years of nanotechnology news. It was further found that the articles were mostly concerned with the implementations of nanotechnology, such as research and education centers, medical, and electronics. The study also investigated the presentation style of nanotechnology news. In other words, it investigated how the articles were framed. The results showed that the articles were mostly framed with scientific researches or discoveries and future expectations.     

Carbon Nanoparticles in Nematic Liquid Crystals

Fullerene C60, C7o, single-walled and multi-walled carbon nanotubes and graphene sheets are doped to nematic liquid crystal （LC） host in the same percentage. Planar samples of these mixtures are prepared and our measurements constitute an optimization basis for possible applications. Fullerene balls are found to be the best compatible material for optical aims and reorientation of LC molecules, while the carbon nanotubes experience some reorientation possibility in LC media and graphene layers are good barriers to preserve reorientation.     

Vibration control for plate-like structures using strategic cut-outs

Cut-outs are widely used in plates and shells to facilitate heat dissipation, and to provide access to different components. Because of the presence of the cut-outs, it is expected that the dynamic behavior will deteriorate, and vibration magnitudes will be exaggerated as compared to those of the case without a cut-out. Summary of an investigation is presented in this paper to explore the possibility of making a rectangular cut-out in a plate for the purposes of employing this cut-out as a dynamic vibration absorber.The process involves numerical modeling using standard finite elements. The numerical predictions are presented in the form of design charts to indicate the conditions under which vibration control may be possible. Then, two variations are presented for comparison purposes, namely a lumped-parameter tuned vibration absorber and an auxiliary flap, instead of an integral cut-out. Finally, simple experiments are described to test the validity of the numerical predictions.     

Scheduling independent jobs with stochastic processing times and a common due date on parallel and identical machines

We propose a heuristic procedure that constructs a schedule forN jobs with stochastic processing times and a common due date onM parallel, identical machines. The criterion is the minimization of the total expected incompletion cost. A worst-case analysis for the ratio of the heuristic and optimal solutions is presented and a bound on the ratio is derived. The experimental results presented indicate that the heuristic procedure generates almost optimal solutions.