Defect Clusterization Model as a Computer Simulation Method of a Fluctuation Phenomena.
Abstract:
Certain metals as palladium, titanium, and vanadium possess a remarkable ability for absorbing sizable amounts of hydrogen. The kinetic equation is applied to the metal lattice defects (pores, light gas impurities et al.) description. Growth or degradation of the cluster is solved in cluster's size space under condition that all vacancies are in a gas phase at an initial time. Fluctuation stage of nucleation in the decomposition of a supersaturated gas case is studied. The Fokker-Planck-Kolmogorov equation of the one-dimension for Folmer-Zel'dovich problem is numerically investigated using a stochastic simulation method. Numerical solution of the stochastic differential equation /SDE/ is applied to the investigation of coagulating gas as well as metal lattice defects' clusterization phenomena. The equivalence between Fokker-Planck-Kolmogorov equation and Ito-Stratonovich SDE is used. The stochastic nature of the defects into metal behavior may find a utility in hydrogen/metal solubility researches.
Publication language:russian
Research direction:
Mathematical modelling in actual problems of science and technics
