Hydrogen diffusion in disordered metals and alloys

Molecular dynamics simulation of hydrogen atom diffusion in crystal lattice of fcc metals

“…Hydrogen atoms have a unique small mass and size in comparison with other interstitial atoms in metals, and for this reason have extremely high diffusion mobility [3,4]. The diffusion coefficients of hydrogen in solid metals are almost the same as in liquids.…”

“…On the one hand, this is due to the practical interest in using the metal-hydrogen system: creation of radiation-resistant materials, filters for obtaining of pure hydrogen, including for isotope separation, accumulation and storage of light gases in metals and alloys and the problem of hydrogen transportation. On the other hand, this is due to the undesirable effects of hydrogen on the properties of materials (embrittlement, corrosion, cracks spreading) [1,2].Hydrogen atoms have a unique small mass and size in comparison with other interstitial atoms in metals, and for this reason have extremely high diffusion mobility [3,4]. The diffusion coefficients of hydrogen in solid metals are almost the same as in liquids.…”

Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions

“…(8) and (12) to analyze the kinetics of subdiffusion growth and disssolution of new-phase particles.…”

“…(8) with the initial condition ρ(r, t)| t=0 = δ(r). We note that it is convenient to represent the subdiffusion equation in form (8) in order to write the continuity equation ∂ρ ∂t…”

“…The fundamental solutions of this equation were given in [17], [31]. Fractional differential equation (8) can be derived as an asymptotic form of Eq. (1) in the case of a power series distribution of localization times:…”