The electronic spectrum of a three-dimensional quasicrystal

The electronic spectrum of an icosahedral quasicrystal with a central-atom decoration of the Amman-Mackay network is investigated in the tight-binding approximation. The quasicrystal is described as a structural limit of the optimal cubic approximants with increasing period. The electronic spectra for the first four optimal cubic approximants do not contain the hierarchical gap structure which is typical for the Cantor set of the spectrum of a one-dimensional quasicrystal. At the same time, as the order of the approximant increases, the spectrum becomes singular throughout the entire energy scale. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 8, 557–562 (25 April 1998) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Universal magnetoluminescence kinetics in magnetically frozen 2D electron systems

The kinetics of recombination of electrons and acceptor-bound holes in AlGaAs-GaAs heterostructure obey a single-exponential decay in the liquid phase of 2D electrons, whereas localization gives rise to a broad spectrum of recombination rates, especially in the magnetic freeze-out regime. This results in a power-law dependence I(t)∝(τ/t)^α in the tail of the recombination kinetics, with the universal exponent α=(1−ν)⁻¹ at ν<1 for all the samples examined experimentally in this work. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 2, 118–122 (25 January 1996) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Creep kinetics of linearly heated metallic glasses

A quantitative theory of creep in linearly heated metallic glasses is developed in terms of new ideas on the kinetics of irreversible structural relaxation under external mechanical stress. The validity of the resulting flow equation has been confirmed by a specially devised experiment. It is shown that the temperature dependence of Newtonian viscosity is determined by the rate of heating and the energy spectrum of irreversible structural relaxation. Fiz. Tverd. Tela (St. Petersburg) 39, 2186–2190 (December 1997)     

Kinetics of a phase transition into an inhomogeneous state in a ferroelectric plate

The kinetics of the emergence of a polarization vector field after a ferroelectric sample is rapidly cooled is investigated in two cases, in which the rate of growth of the polarization vector is determined by viscous forces of phonon origin or by the diffusion of charged particles. Analytic expressions are obtained for the rate of growth of the polarization vector and the period of the inhomogeneous phase as a function of the degree of supercooling of the sample. The existence of a slow relaxation process in the domain structure is established and the time dependence of this process is found. Zh. éksp. Teor. Fiz. 114, 2238–2245 (December 1998)     

有温度反馈阶跃引入负反应性瞬变的解

考虑有温度反馈反应堆阶跃引入负反应性过程的变化规律,对点堆中子动力学方程的解进行研究,给出不同的分析模型,分析发现,（1）用于瞬发超临界的分析模型及其结果不能用于引入大的负反应性过程的分析.（2）在相同的初始功率时,先驱核瞬跳近似模型的结果要优于目前比较普遍的中子瞬跳近似模型的结果.（3）无论初始功率与引入负阶跃反应性的大小,温度瞬跳近似模型的结果总是优于先驱核瞬跳近似与中子瞬跳近似模型的结果.故而温度瞬跳近似模型是目前最为准确的解析模型. 关键词： 中子动力学 温度反馈 反应性 点堆     

有温度反馈阶跃引入负反应性瞬变的解

考虑有温度反馈反应堆阶跃引入负反应性过程的变化规律,对点堆中子动力学方程的解进行研究,给出不同的分析模型,分析发现,（1）用于瞬发超临界的分析模型及其结果不能用于引入大的负反应性过程的分析.（2）在相同的初始功率时,先驱核瞬跳近似模型的结果要优于目前比较普遍的中子瞬跳近似模型的结果.（3）无论初始功率与引入负阶跃反应性的大小,温度瞬跳近似模型的结果总是优于先驱核瞬跳近似与中子瞬跳近似模型的结果.故而温度瞬跳近似模型是目前最为准确的解析模型.     

Electron-lattice kinetics of metals heated by ultrashort laser pulses

We propose a kinetic model of transient nonequilibrium phenomena in metals exposed to ultrashort laser pulses when heated electrons affect the lattice through direct electron-phonon interaction. This model describes the destruction of a metal under intense laser pumping. We derive the system of equations for the metal, which consists of hot electrons and a cold lattice. Hot electrons are described with the help of the Boltzmann equation and equation of thermoconductivity. We use the equations of motion for lattice displacements with the electron force included. The lattice deformation is estimated immediately after the laser pulse up to the time of electron temperature relaxation. An estimate shows that the ablation regime can be achieved. Zh. éksp. Teor. Fiz. 115, 149–157 (January 1999) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.     

Electron spectrum and wave functions of icosahedral quasicrystals

Electron spectra and wave functions of icosahedral quasicrystals have been investigated in the tight-binding approximation using the two-fragment structural model (the Amman-MacKay network) with “central” decoration. A quasicrystal has been considered as a limiting structure in a set of optimal cubic approximants with increasing lattice constants. The method of level statistics indicates that the energy spectrum of an icosahedral quasicrystal contains a singular (nonsmooth) component. The density of electron states has been calculated for the first four optimal cubic approximants of the icosahedral quasicrystal, and the respective Lebesgue measures of energy spectra of these approximants have been obtained. Unlike the case of a one-dimensional quasiperiodic structure, the energy spectrum of an icosahedral quasicrystal does not contain a hierarchical gap structure typical of the Cantor set of measure zero in a one-dimensional quasicrystal. Localization of wave functions in an icosahedral quasicrystal has been studied, and their “critical” behavior has been detected. The effect of disorder due to substitutional impurities on electron properties of icosahedral quasicrystals has been investigated. This disorder makes the electron spectrum “smoother” and leads to a tendency to localization of wave functions. Zh. éksp. Teor. Fiz. 113, 1009–1025 (March 1998)     

Recombination kinetics in nonlinear defective LiB3O5 crystals

A study of recombination kinetics in LiB₃O₅ (LBO) crystals by time-resolved luminescence and absorption spectroscopy is reported. An investigation of the kinetics of transient optical absorption (TOA) and luminescence under ns-scale electron-beam excitation performed within a broad temperature range of 77–500 K and a 1.2–5-eV spectral interval has established that the specific features in the recombination kinetics observed in LBO involve electronic, B²⁺, and hole, O⁻, trapping centers. The TOA and luminescence kinetics, as well as their temperature dependence, are interpreted by a model of competing hole centers. Relations connecting the kinetics parameters and the temperature dependence to the parameters of the main LBO point defects are presented. Fiz. Tverd. Tela (St. Petersburg) 40, 2008–2014 (November 1998)     

Studies on nucleation kinetics of In1−xGaxP/GaAs by Liquid-Phase Epitaxy

Summary Nucleation kinetics during the Liquid-Phase Epitaxial (LPE) growth of In_1−xGa_xP on GaAs substrate have been studied. The behaviour of non-equilibrium solid-liquid interface between In-Ga-P solution and GaAs substrate has been analysed and hence the expression derived for the stress-induced supercooling has been incorporated in the classical heterogeneous nucleation theory. The condition for the growth of good-quality GaInP layer on GaAs substrate has been shown theoretically.     

Characteristic features of the energy spectrum of icosahedral quasicrystals

The character of the energy spectrum of an icosahedral quasicrystal is investigated in the tight-binding approximation. It is found that the spectrum does not contain the hierarchical gap structure characteristic for a Cantor set. Investigation of the smoothness of the energy spectrum by the method of level statistics showed that the spectrum contains a singular part. Suggestions are made concerning the form of the wave functions. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 2, 101–105 (25 January 1996)     

Mechanisms and kinetics of the initial stages of growth of films grown by chemical vapor deposition

The initial stages of growth of films and coatings by chemical vapor deposition are investigated. A system of equations is derived which describes the evolution of an island film at the stage of Ostwald ripening under conditions characteristic of vapor deposition. Solving this system of equations yields the dependence of all of the main characteristics of island films (the size distribution function of the islands, the dependence of the mean radius and density of the islands) as functions of time and the spatial coordinate. Suggestions are given for the preparation of films with prescribed properties. Zh. Tekh. Fiz. 68, 111–117 (July 1998)     

Biphonons in quasicrystals

The spectrum of coupled optical biphonon vibrations in quasicrystals with variation of the atom-atom interaction in accordance with the Fibonacci sequence is investigated. For two-phonon states with strong anharmonicity of the vibrations, a system of recursion equations, which is more complicated than the previously employed system for one-phonon states, is obtained. Calculations using this system made it possible to determine the spectrum of biphonon vibrations in a quasicrystal. It is shown that, on the low-frequency edge of the biphonon band, a scaling-type fine structure of the same form as in biphonon spectra of fractal lattices exists in the density of states. It is found that the energy dependence of the density of states is periodic on a logarithmic scale. The period of this dependence is determined. It is noted that the resonance structure in the density of states is of a nonstandard form in the high-frequency region of the biphonon band. Fiz. Tverd. Tela (St. Petersburg) 39, 163–170 (January 1997)     

Decay kinetics of metastable states in a disordered linear system

Kolmogorov’s method for describing statistical crystallization is generalized to take into account disorder in the structure and is applied to the calculation of the decay kinetics of metastable states in linear (in the sense of spatial dimensionality) systems. The theory describes the influence of defects on the dynamics of polymers and domain boundaries between phases on substrates, on crystal growth involving the movement of steps over a surface, on the plastic flow of materials due to the motion of dislocations in a Peierls-Nabarro relief, and on the kinetics of other physical systems. Fiz. Tverd. Tela (St. Petersburg) 41, 1988–1993 (November 1999)     

Kinetics of crystal growth in superfluid helium at high temperatures

The growth rate of ⁴He crystals from superfluid is measured in the temperature range 1.2–1.75 K at supersaturations up to 40 mbar. The growth rate is observed to decrease at high supersaturations: above 5 mbar in the bcc phase and above 20 mbar in the hcp phase. The temperature dependence of the kinetic growth factor K is measured in the low-supersaturation limit. In the vicinity of the superfluid transition the kinetic growth factor exhibits critical behavior: K ∝ (Tλ−T)^ε with the exponent ε=0.743±0.123. A jump in the growth factor is observed at the bcc-hcp transition point. The crystal growth kinetics problem is solved in the hydrodynamic approximation, explaining both the temperature behavior of K and the existence of the jump in the modification of the crystal structure. Zh. éksp. Teor. Fiz. 114, 1313–1328 (October 1998)     

The kinetics of solidification of Al-Si eutectic alloys under high pressure

Abstract

The kinetics of crystallization of eutectic alloys Al_100-xSi_x (χ=12, 18, 26 at.%) was investigated under pressures p=0.5, 2.5, 4.5 GPa. The values of supercooling and average grain size of silicon crystals were determined for alloys quenched from melt under different pressures with the cooling rate 10³ K/s. The data obtained were used to evaluate quantitatively the pressure dependences of surface tension (between melt and crystal) and activation energy of crystal growth which, in turn, have made it possible to determine the relative change of nucleation frequency and of the rate of crystal growth with pressure.

The possibility is shown, based on the investigation of mechanical properties of the samples obtained under high pressure, for improving the strength and the plasticity of A1-Si alloys by means of high pressure-high temperature treatment.     

Diffusion-broadened line shape near a turning point

The absorption spectrum of a gas with a large Doppler width and soft collisions between particles is studied. The particles are assumed to have a nonlinear dependence of the resonance frequency on velocity. The shape of the narrow peak in the spectrum resulting from an extremum of this dependence is calculated analytically for the first time. In the absence of collisions it has a characteristic asymmetric shape. Collisions are shown to broaden the line and change its shape. The profile of the probe-field spectrum is obtained for a three-level system with the strong field at an adjacent transition. The components of the Autler-Townes doublet are found to spread and repel each other because of collisions. Pis’ma Zh. éksp. Teor. Fiz. 68, No. 1, 27–32 (10 July 1998) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Effect of phasons and magnetic fields on the electronic spectrum of a three-dimensional quasicrystal

The effect of phasons and magnetic fields on the electronic spectrum of an icosahedral quasicrystal is investigated in the tight-binding approximation. Phasons smooth the singular spectrum and produce a greater delocalization of the critical wave functions. A magnetic field shifts the limits of the spectrum, smooths the spectrum, lifts the degeneracy, and also delocalizes the wave functions. Pis’ma Zh. éksp. Teor. Fiz. 69, No. 9, 659–661 (10 May 1999)