Take a look at the scientific results in Mechanical Engineering, Materials Science, Physics, Life Sciences and Mathematics
New Insights in Spiral Growth of a Multicomponent Crystal from Vapor of its Components
In this study the growth of a multicomponent crystal from its vapors via Burton-Cabrera-Frank mechanism was considered. Equations for the rate of advance of a group of equidistant steps were derived. The spiral growth rate of the crystal was found. It was shown that the growth of the multicomponent crystal can be described mathematically in the same way as the growth of a single-component crystal using a few generalized parameters: diffusion coefficient, supersaturations, each of which depends on properties of all individual crystal components. These coefficients are not constant at a given temperature as in the single-component case and are dependent on the conditions in which the crystal grows: partial pressures of components and their concentrations on the surface.
As an example, the theory was applied to describe gallium nitride crystal growth. The study was conducted in collaboration with Institute for problems in mechanical engineering (Saint-Petersburg, Russia).
Key words: defects, growth models, interfaces, spiral growth, growth from vapor, crystal components, materials science
Publisher: Journal of Crystal Growth
Method for Remote Determination of Object Coordinates in Space Based on Exact Analytical Solution of Hyperbolic Equations
Accurate remote determination of the object coordinates in 3D space is one of the main questions in many applications. In one of the most popular methods, such determination of the location of an object uses the measurement by receiving an electromagnetic signal transmitted by several spatially distributed base stations (BS). The main problem is that it is necessary to reduce errors and computation time.
To overcome these difficulties, scientists from SPbPU proposed an analytical method for determining the position of an object based on the analysis of time difference of arrival (TDoA) of signals from the transmitter of the object to the receivers of the BS. One of the main advantages of this method is that it is possible to eliminate the ambiguity in determining the coordinates of the object in space and to increase the accuracy of determining the coordinates when the TDoA measurement between base stations fluctuates. Applications for autonomous automotive vehicles and space-based positioning systems were analyzed in this study.
Key words: positioning, unmanned aerial vehicle, time difference of arrival, determination of 3D coordinates, desynchronization in time, TDoA fluctuations, local positioning system (LPS), global positioning system (GPS)
SPbPU Department: Institute of Physics, Nanotechnology and Telecommunications
Pulse Wave Velocity Measurement with Multiplexed Fiber Optic Fabry-Perot Interferometric Sensors
This paper presents an approach to noninvasively measure pulse wave delay and velocity by means of two multiplexed fiber-optic Fabry-Perot interferometric sensors interrogated by means of spectral interferometry. The pulse wave signals were measured with 1 kHz sampling rate. The obtained optical path difference resolutions are on the order of tens picometers, which allowed the pulse wave signal features as small as 100 pm to be clearly observed in the demodulated waveforms. The pulse wave velocity between different arteries was measured, demonstrating good agreement with the known data, where applicable.
The paper also presents a mathematical model based on Cramer-Rao approach, describing the fundamental resolution limits of the pulse wave delay measurement. The derived mathematical model is not limited to fiber-optic pulse wave sensors and can be used for estimating the performance of other systems, such as photoplethysmographic and ultrasound. This work paves the way to development of novel all-optical non-invasive systems for medical diagnostics and vital signs monitoring, including portable devices.
Key words: biomedical sensor, pulse wave, spectral interferometry, noninvasive diagnostics, cardiovascular monitoring, pulse wave velocity variability
SPbPU Department: Institute of Physics, Nanotechnology and Telecommunications
Publisher: IEEE Sensors Journal
Scientist studied the Effect of Fullerene Soot Nanoparticles on the Microstructure and Properties of Copper-Based Composites
In this study copper-based composite materials were fabricated using powder technology out of Cu powder and 0.25–5.00 wt. % fullerene soot. The microstructure of the composite powders and the compacts prepared with their usage were examined by different types of microscopy. Hardness, heat conductivity, and tribological characteristics were measured.
The interesting feature of the observed microstructure was a “marble” pattern formed by a white boundary net. The study shows homogeneous distribution of carbon inside the copper grains and its lower concentration in the grain boundaries. The effect was caused by a reaction of carbon with oxygen adsorbed by the copper particles surface. The study was conducted together with colleagues from Hebei University of Technology (China).
Key words: copper matrix composite, fullerene soot, ball milling, microstructure, strengthening, materials science
SPbPU Department: The National Technological Initiative Competence Center of SPbPU
Mathematical research of the role of diagnosis at early stages to control cervical cancer
This paper deals with cervical cancer which is the second most common cancer in females and a major cause of death in the world. Detection of symptoms of cervical cancer basically focused at an advance stage. But it is possible to detect cancer at an early stage through diagnosis and screening. The detection through diagnosis at early stages provides the incentive for the primary prevention and helps to slow down the rapid progression of cervical cancer. Considering diagnosis system a time-dependent variable, scientists formulated a new mathematical model on cervical cancer considering susceptible human population, cancer patients and diagnosis.
This model gives a framework for understanding how early diagnosis increases the chances for cancer patients to be cancer free by providing proper treatment. Researchers analyzed and compared the local stability of the equilibrium points of both the systems in the presence and absence of diagnosis. They investigate analytically as well as numerically the causal effect of diagnosis for reducing the cancer patient at an early stage. Furthermore, they enhance the role of diagnosis by using optimal control strategies to prevent the cervical cancer. The study was conducted together with researchers from Jadavpur University (India) and Guelma University (Algeria).
Key words: cervical cancer, control theory, diagnosis, treatment, medicine, mathematics
SPbPU Department: Department of Mathematics
Publisher: European Physical Journal Plus
Fabrication of nickel-graphene composites with superior hardness
Bulk nickel-graphene (Ni-Gr) composites are in the high demand for most of the engineering applications. Despite many efforts made, the main problem remains the homogeneous dispersion of graphene into the Ni matrix without destroying the structural integrity of Gr. This paper addresses the fabrication, structural features and mechanical characteristics of bulk Ni-Gr composites, manufactured from nanosized nickel powder and exfoliated graphite platelets (GP) via modified powder metallurgy procedure including micromechanical GP splitting.
The study was conducted in collaboration with Saint Petersburg State University (Russia), Aalto University (Finland), Institute of Metals Superplasticity Problems (Russia), Institute for Problems of Mechanical Engineering (Russia).
Key words: graphene, hardness, interface, nickel-matrix composites, metals, materials science, engineering
Publisher: Journal of Alloys and Compounds