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Information × Registration Number 0221U100451, 0117U002274 , R & D reports Title The development of mathematical methods for the analysis of kinetics, thermodynamics and nonlinear dynamics in multiparticle systems and nanostructures. popup.stage_title Head Ivanov Borys O., Los Viktor F., Registration Date 05-01-2021 Organization Institute of Magnetism NAS of Ukraine and MES of Ukraine popup.description2  The formation conditions and basic properties of spin-wave modes localized on isolated defects in dipole-coupled arrays of magnetic nanodots are investigated. It is shown that the number and properties of localized defect spin-wave modes depend on whether a specific defect effects on the magneto-dipole interaction between individual dots or not. A new approach for the analysis of multicomponent low-dimensional dilute Bose gas is proposed. In contrast to the standard method based on Gross-Pitayevsky theory, which is limited by two-particle interactions and is based on infrared cutoff, which should be adjusted to obtain accurate results, the proposed method allows to build an effective action with multiparticle density-density interactions, obtaining and developing linking the equations of renormalized groups for the whole set of multiparticle interactions in the single-loop approximation. Using the theory of multiple scattering, an exact space-time propagator for the wave (second-order in time) equation for a layered system, which consists of a layer sandwiched between two other distinct semi-infinite layers was obtained. Product Description popup.authors Ivanov Boris O. Kireev Vadim Ye Kolezhuk Oleksiy K. Los Viktor F. Tartakivska Olena V. popup.nrat_date 2021-01-05 Close