On Approach for Prognosis of Influence of Mismatch-induced Stresses on the I–V Characteristics of p-n-junctions Manufactured in a Heterostructure

We consider a nonlinear model for analysis of current-voltage characteristic of a p-n-junction, which was manufactured in the framework of a heterostructure with specific configuration by diffusion or ion implantation. We analyzed the model to obtain dependence of the considered current-voltage characteristic on missmatch-induced stresses in the framework of the heterostructure. We also consider an analytical approach for analysis of mass and heat transport during the considered processes with account their nonlinearity and missmatch induced stresses as well changes of parameters of these in space and time

Homogenization of attractors of non-linear evolutionary equations

The paper is devoted to the homogenization of non{linear evolutionary equations in domains with "traps"

Evaluation of Electronic Spectra of Unsaturated Organic Compounds Using the Pariser-Parr-Pople Method with Adaptation of Parameters

The possibility of quantitative predictions of absorption maxima in electronic spectra of unsaturated organic compounds by means of the Pariser-Parr-Pople method with adaptation of parameters is examined. A schematic classification of quantum chemical methods is proposed which is based on the idea of extrapolation from elementary particles (physical constants) to the molecule, from atoms to the molecule and, finally, from fragments to the molecule

Soliton scattering as a measurement tool for weak signals

We have considered relativistic soliton dynamics governed by the sine-Gordon equation and affected by short spatial inhomogeneities of the driving force and thermal noise. Developed analytical and numerical methods for calculation of soliton scattering at the inhomogeneities allowed us to examine the scattering as a measurement tool for sensitive detection of polarity of the inhomogeneities. We have considered the superconducting fluxonic ballistic detector as an example of the device in which the soliton scattering is utilized for quantum measurements of superconducting flux qubits. We optimized the soliton dynamics for the measurement process varying the starting and the stationary soliton velocity as well as configuration of the inhomogeneities. For experimentally relevant parameters we obtained the signal-to-noise ratio above 100 reflecting good practical usability of the measurement concept

Effect of Cherenkov radiation on the jitter of solitons in the driven underdamped Frenkel-Kontorova model

The effect of complex dynamics of solitons on the output noise of the system (thermal jitter) is studied in the frame of the driven underdamped Frenkel-Kontorova model. In contrast to the continuous case, we have observed a dramatic splash of the jitter. It is demonstrated that this jitter increase is related to the joining of an initial soliton with the one generated by large amplitude oscillations of the Cherenkov radiation tail, which results in the establishment of a unified soliton structure