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Information × Registration Number 0215U000510, 0112U001383 , R & D reports Title Anomalous diffusion and relaxation properties of continuous-time classical and quantum walks popup.stage_title Head Denisov Stanislav Ivanovich, Registration Date 27-02-2015 Organization Sumy State University popup.description2 A theory of superslow diffusion for a wide range of stochastic systems and a theory of slow and superslow relaxation for two-level systems are developed. Using a conception of the continuous-time random walks, the corresponding laws of diffusion and relaxation are obtained. By analytical solution of the Maxwell equations, the effective Landau-Lifshitz-Gilbert equation, which describes the magnetization dynamics of conducting nanoparticles, is derived. Methods for analytical and numerical determination of the statistical characteristics of systems (including the nanoparticle systems) subjected to a Poisson white noise are developed. A method of the Fokker-Planck equation is generalized to the case of an arbitrary interpretation of multiplicative Gaussian white noises in a system of Langevin equations. A modified method of molecular dynamics, which is based on the Barnes-Hut algorithm and CUDA technology, is proposed to model the magnetic and structural properties of ferromagnetic liquids. Product Description popup.authors Бистрик Юрій Сергійович Денисова Олена Станіславівна Лютий Тарас Володимирович Педченко Богдан Олександрович Поляков Олександр Юрійович Рева Владислав Валерійович popup.nrat_date 2020-04-02 Close