Statistical Characteristics of Distribution of Radiation-Induced Defects under Random Generation

Authors: Pavlo Selyshchev

Abstract:

We consider fluctuations of defects density taking into account their interaction. Stochastic field of displacement generation rate gives random defect distribution. We determinate statistical characteristics (mean and dispersion) of random field of point defect distribution as function of defect generation parameters, temperature and properties of irradiated crystal.

 

Keywords: Irradiation, Primary Defects, Interaction, Fluctuations.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1093022

References:

[1] Was G. S. Fundamentals of Radiation Materials Science. Springer Berlin Heidelberg New York 2010, 827 p.
[2] Selyshchev P.A. Self-organization phenomena in nuclear materials, Moscow, NITs "Regular and chaotic dynamics” 2008, 208 p.
[3] Leibfried G., Breuer N. Point defects in metal. Introduction to the theory. Springer Verglar Berlin Heidelberg New York 1978, 331 p.
[4] Teodosiu Elastic model of crystal defects. Springer Verglar Berlin 1982, 352 p.
[5] Clayton J.D. Nonlinear mechanics of crystal. Springer Dordrecht Heidelberg London New York 2011, 699 p.
[6] Garner F.A., Brager H.R., Hamilton M.L., Dodd R.A., Porter D.L. "New developments in irradiation-induced microstructural evolution of austenitic alloys and their consequences on mechanical properties”, Radiat.Eff. 1986. Vol.101, pp.37-53.
[7] Abromeit C. "Microstructural self-organization in irradiated system” Int. J. Mod. Phys. 1989. Vol.B3, N9, pp.1301-1342.
[8] Walgraef D., Ghonier N.M. "Nonlinear dynamics of self-organized microstructure under irradiation” Phys.Rev.B. 1994. Vol.52, N6, pp.3951-3962.
[9] Selishchev P.A., Sugakov V.I. "Self-organization phenomena in impure irradiated crystals”, Radiat. Eff. 1995. Vol.133, pp. 237-245.
[10] Sugakov V.I. Lectures in Synergetics. Word Scientific Singapore 1998, 207 p.
[11] Gardiner.С. Stochastic Methods: A Handbook for the Natural and Social Sciences (Springer Series in Synergetics Vol. 13), Berlin Heidelberg New York 2009, 442 p.