Kondo correlations formation and the local magnetic moment dynamics in the Anderson model
We investigated the typical time scales of the Kondo correlations formation for the single-state Anderson model, when coupling to the reservoir is switched on at the initial time moment. The influence of the Kondo effect appearance on the system non-stationary characteristics was analyzed and discussed.
The nonlinear dynamics of a parametrically excited pendulum is addressed. The proposed analytical approach aims at describing the pendulum dynamics beyond the simplified regimes usually considered in literature, where stationary and small amplitude oscilla- tions are assumed. Thus, by combining complexification and Limiting Phase Trajectory (LPT) concepts, both stationary and non-stationary dynamic regimes are considered in the neighborhood of the main parametric resonance, without any restriction on the pendulum oscillation amplitudes. The advantage of the proposed approach lies in the possibility of identifying the strongly modulated regimes for arbitrary initial conditions and high- amplitude excitation, cases in which the conventionally used quasilinear approximation is not valid. The identification of the bifurcations of the stationary states as well as the large-amplitude corrections of the stability thresholds emanating from the main paramet- ric resonance are also provided.
The dynamics of a two-component Davydov-Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger equation with the potential generated by the LF component varying in time and space. The LF component in this system is described by the Korteweg-de Vries equation with a term of quadratic influence of the HF field on the LF field. The frequency of the DS soliton`s component oscillation was found analytically using the balance equation. The perturbed DS soliton was shown to be stable. The analytical results were confirmed by numerical simulations.
Radiation conditions are described for various space regions, radiation-induced effects in spacecraft materials and equipment components are considered and information on theoretical, computational, and experimental methods for studying radiation effects are presented. The peculiarities of radiation effects on nanostructures and some problems related to modeling and radiation testing of such structures are considered.