Volume-4, Issue-6, June 2018

Abstract

Stochastic advection diffusion equation (SADE) with multiplicative stochastic input is a practical mathematical model for different physical phenomena. In this paper, SADE will be studied using two spectral stochastic techniques. The first is the Wiener chaos expansion (WCE) technique and the second is the Wiener-Hermite expansion with perturbation (WHEP) technique. These techniques convert the SADE into a system of deterministic partial differential equation (DPDE) that can be solved using a deterministic numerical method which is suitable for the periodic boundary conditions. Convergence analysis is discussed and some of the second order moments are compared. The numerical results demonstrate the efficiency of both techniques. The WCE technique is more accuracy than the WHEP technique. The diffusion and advection coefficient and the intensity of Gaussian white noise play important roles in the SADE solution. The study shows that the WCE technique is more practical to get the closed form mean solution while the WHEP technique gets the mean solution in the form of an infinite series.

Keywords: Advection diffusion equation, Multiplicative random input, Wiener-Hermite expansion, Wiener-Chaos expansion, Periodic boundary conditions.

References

Keywords: Advection diffusion equation, Multiplicative random input, Wiener-Hermite expansion, Wiener-Chaos expansion, Periodic boundary conditions.

Abstract

The paper extends study of dipole-exchange spin waves in a ferromagnetic nanotube with a circular crosssection started by the author in the previous paper. The proposed model considers the magnetic dipole-dipole interaction, the exchange interaction, the anisotropy effects, the damping effects, the general boundary conditions and the existence of both volume and surface modes for the considered spin waves. Therefore, a new method of obtaining the values’ spectrum of the orthogonal (to the translation axis) wavenumbers for the investigated spin waves is proposed in addition to the previously obtained dispersion law. The method is based on the application of general boundary conditions for the magnetic field on a superposition of the above-mentioned modes. The obtained spectrum is shown to be a quasi-one-dimensional one – similar to that in a thin ferromagnetic field – for typical ferromagnetic nanotubes. Exploitation of the above-mentioned method essentially extends the area of application of the obtained results compared to the previous paper.

Keywords: Spin wave, Dipole-exchange theory, Ferromagnetic nanotube, Volume mode, Surface mode.

References

Keywords: Spin wave, Dipole-exchange theory, Ferromagnetic nanotube, Volume mode, Surface mode.

Abstract

Indian construction industry has played a vital role in the process of economic transformation and furtherance for over five decades and is the primary input for the socio-economic development of the country. Increasing complexity in design and involvement of numerous stakeholders in modern construction projects are huge challenge for both clients and contractors to meet criterion of skills and capabilities required to successfully deliver a project at bidding stage. Implementation of HAM (Hybrid- Annuity Model) to revive investments in road infrastructure projects, HAM has seen good initial success. About 30 highway projects have been awarded under HAM by the National Authority of India (NHAI) at a total cost of about 28,000crore. Half the projects awarded in HAM. This paper summaries the key changes and features which are brought under the new arrangement and provides a comparison with pat models.

Keywords: tender notice, Hybrid Annuity Model, stakeholders.

References

Keywords: tender notice, Hybrid Annuity Model, stakeholders.

Abstract

It is shown that the kinetics of the evolution of a structure of materials under external influences occurs in accordance with the minimum production of entropy and is characterized by a lower absolute value of a free energy. Using the extinction contours, the local curvature of the dispersed crystal lattice of nickel, the stress values and the dislocation density were quantitatively evaluated. Based on the provisions of mesomechanics and nonequilibrium thermodynamics, the positions of the kinetics of physicochemical, mechanical and tribological properties of the metal interface under contact interaction are developed. The substantiation of the search for invariants in the creation, evolution and destruction of nanomaterials from the symmetry properties of space and time under various external influences is given, which has scientific and practical significance.

Keywords: time, space, invariants, dislocation structure; kinetics of nanostructure

References

Keywords: time, space, invariants, dislocation structure; kinetics of nanostructure

Abstract

While data from various devices as Internet of Things (IoT) are scattered and isolated as silos at present, some expect that hundreds of billions of devices will be connected through the Internet by the early 2020s. To prevent radio interference of huge amounts of data, it is necessary to develop ubiquitous wearable devices that enable constant retention and sharing of data. We aim to establish the basic packaging technology for realizing the semiconductive thin films and circuits that make up such electronic devices, and we fabricated thin films using highly crystalline single-walled carbon nanotubes (HC-SWCNTs) by a wet-coating process and evaluated their electrical properties in this study. Our research has developed a technology to disperse HC-SWCNTs without impairing their crystallinity and succeeded in fabricating thin films from a dispersion liquid of HC-SWCNTs obtained by this technology. We also evaluated the Hall mobility of these thin films and found that a high Hall mobility of 1,000 cm2/Vs can be achieved by controlling the crystallinity. On the basis of the results of this study, we will pursue our research to establish a technology for packaging electronic circuits that take full advantage of the electronic properties of HC-SWCNTs by a wet-coating process.

Keywords: single-walled carbon nanotube, high crystallization, IoT, Hall mobility, thin film.

References

Keywords: single-walled carbon nanotube, high crystallization, IoT, Hall mobility, thin film.

Abstract

A simple low-cost (<60 USD) Arduino based laser nephelometric instrument, which is suitable for high sensitive immunoprecipitation detection is presented. A measuring range of up to 49 mg/L of dog C-Reactive Protein (CRP) is reported. Furthermore, the limit of detection (LOD) is determined to be 2.1 mg/L. Only 24 µL of dog serum samples are required. Assay-time is 6 minutes. We successfully demonstrated the good performance of the device on two low level (0 and 10.2 mg/L CRP) dog serum samples. The coefficient of variation (CV) was 10% at the level of 10.2 mg/L.

Keywords: nephelometry, immunoprecipitation, C-Reactive Protein, laser, Arduino.

References

Keywords: nephelometry, immunoprecipitation, C-Reactive Protein, laser, Arduino.

Abstract

New method of multi mode fiberoptic endoscopic delivery of UV laser from Excimer can cause capsulorhexis and ablate cataract in human eyes. This shall eliminate LASER assisted cataract surgery which is exuberantly costly and also traditional phacoemulsification machine.

Keywords: excimer laser fiber optics, phacosurgery.

References

Keywords: excimer laser fiber optics, phacosurgery.