Stochastic model applied to plasma-surface interaction's simulation

A kinetic stochastic model of blistering and nanofilm islands deposition: self-organization problem

“…The algorithms for the solution of a system of linear SDE by Ito-Stratonovich' [17] (with constant coefficients) were modified [2][3][4][5][6][7] by authors for simulation and analysis of the problem with functional coefficients [3,7,8], which has been applied to the non-equilibrium stage of clustering of gaseous (or liquid) particles.…”

“…Interaction between the bubbles/clusters is indirect through lattice phonons and Friedel electron density oscillations [9][10][11][12][13][14][15][16]. The kinetics equations after the physical processes split are as follows:…”

“…Kinetic equations are substitued by stochastic analogues [3,7,[11][12][13][14][15][16], SDEs are solved using a modified Artemiev method [17]. SDE and the modifications of the Artemiev method for these models can be found in earlier papers of the authors [11][12][13][14][15][16].…”

“…The stochastic simulation method is based on the strict results of the probability analysis using equations in mathematical physics (MPE); the kinetic theory of plasma and rare gases; the theory and practice of numerical experiment in non-linear plasma simulation [10]. This approach has been evolved in [4][5][6].…”

Processes of microporosity formation at initial stage phase transition

“…In technical applications this process is called blistering. [2,3]. Theoretical studies of an action of flows radiation on materials have fundamental meaning for clarification of nonequilibrium processes mechanisms, which are important for the forecast of silicon carbide, SiC, behaviour [4] or the prediction of set properties for new materials with disorderly distributed microporosity [5].…”