Chapters authored
The Concept of Temperature in the Modern Physics
Part of the book: Thermodynamics
The Fractal Analysis of the Images and Signals in Medical Diagnostics
In the present chapter, we summarize our results concerning fractal analysis of some medical data. The aim of this study is to identify the inherent human body “chaotic” dynamics and insufficient disclosure of the physical essence of the processes observed, depending on the extent of developing a pathology that is characterized by a decrease or increase in the degree of complexity and as a consequence—randomness, for which, in some cases, hidden fractal. The proposed approach based on identifying the presence of the properties of self‐similarity can be useful in preliminary clinical trials for the diagnosis of cancerous epithelial diseases, blood, and liver in the initial stage, the analysis of digital images, the structure of correlations biomedical parameters, as well as in the study of pathologies of the central nervous system—the neurological, neurodegenerative disorders, psychiatric disorders, and may be the basis for the development of the interface “brain‐computer”, on the basis of electroencephalography and magnetoencephalography. Additional measures are proposed to study the presence of self‐similar properties in the form of self‐similarity and magnitude SRGB ratio (area of a triangle in the coordinate system of the properties).
Part of the book: Fractal Analysis
Ab initio Modeling of Phonons in the Family of Quasi-One-Dimensional Antiferromagnets AFeX2
A review of the recent development in ab initio calculations of the vibrational properties of quasi-one-dimensional (1D) antiferromagnets with AFeX2 structure is presented. Density functional theory (DFT + U) was applied to calculate the phonon modes specific to each element in the structure and the corresponding partial density of states (PDOS). The calculations revealed a strongly non-Debye phonon DOS. Using these results, the nuclear inelastic scattering spectra, temperature dependence of the Lamb-Mössbauer factor, infrared (IR) absorption strength, and phonon-specific heat were derived by direct summation over the phonon modes. The calculations demonstrate good agreement with the experiments and pave the way for understanding the anomalous magnetic properties of AFeX2 quasi-one-dimensional antiferromagnets at a quantitative level.
Part of the book: Phonons - Recent Advances, New Perspectives and Applications [Working title]