The Vlasov approach in phonon dynamics

Abstract: The Vlasov-like equations are obtained to describe the self-consistent dynamics of phonons. It is found that in the thermodynamical limit these equations on the viewpoint of hydrodynamics lead to the thermoelasticity equations.Note: Research direction:Mathematical modelling in actual problems of science and technic

The Algorithm for Simulation of Electrical and Thermomechanical Effects in the Scattering Electron Beam

Abstract: The model of electromagnetic and thermomechanical fields generating in substance by scattering electron beam is considered. Model is founded on Maxwell equations with convective current and Euler equations with Lorentz force and Joule heating. Conservative difference analog of values, which provides the interaction of electromagnetic field with ionized substance are constructed. The simulation results, which demonstrate the electromagnetic field influence on the thermomechanical processes are represented.Note: Research direction:Mathematical modelling in actual problems of science and technic

The Model of Electrical and Thermomechanical Effects in the Electron Beam

Abstract: The physical and mathematical model of thermomechanical effects which accompanies electron scattering in barrier is carried out. Model has taken into account bulk charge and electromagnetic field generation by beam’s electrons in barrier. The expressions for Lorentz force density, acting on ionized substance, and its Joule heating in the electromagnetic field are constructed. The estimations of electromagnetic field influence on thermomechanical processes are represented.Note: Research direction:Mathematical modelling in actual problems of science and technic

On computing the initial data for modeling of radiation-induced effects in porous materials

Abstract: An approach to the calculation of initial data for modeling radiation-induced thermomechanical effects in heterogeneous porous materials is developed. The approach is based on the multidimensional approximation of the results of modeling the interaction of radiation with matter on a difference grid designed to solve the thermodynamics equations. The nonlinear regression model is used as an approximation method. A physical and geometric model of the porous medium with a direct account of its microstructure is constructed. The results of the model calculation of thermomechanical effects in a porous barrier irradiated by x-ray photon flux are presented.Note: Research direction:Mathematical modelling in actual problems of science and technic