To the Theory of Diffusion in Inhomogeneous Media: Short Times of the Process

被引：7

作者：

Kesarev, A. G. ^{[1
]}

Kondrat'ev, V. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Div, Inst Met Phys, Ekaterinburg 620041, Russia

来源：

PHYSICS OF METALS AND METALLOGRAPHY | 2008年 / 106卷 / 04期

关键词：

D O I：

10.1134/S0031918X08100013

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

An analytical solution has been obtained for the problem of one-dimensional diffusion in a semiinfinite inhomogeneous medium with an arbitrary dependence of the diffusion coefficient on the distance to the medium boundary for the case of short times of annealing. A numerical comparison of this solution with the known exact solution for a particular case of an exponential dependence of the diffusion coefficient and for the case of a constant coefficient of diffusion has been performed.

引用

页码：327 / 331

页数：5

共 15 条

[1]

DECH G, 1965, GUIDE PRACTICAL USE

[2] The effect of internal stresses on diffusion in nanostructured alloys [J].

Kesarev, A. G. ;

Kondrat'ev, V. V. .

PHYSICS OF METALS AND METALLOGRAPHY, 2007, 104 (01) :1-7

[3]

KLOTSMAN SM, 1993, FIZ MET METALLOVED+, V75, P5

[4]

Kondrat'ev VV, 2002, PHYS MET METALLOGR+, V94, pS131

[5] IMPURITY-CONCENTRATION PROFILE FOR AN EXPONENTIALLY DECAYING DIFFUSION-COEFFICIENT IN IRRADIATION ENHANCED DIFFUSION [J].

KOWALL, J ;

PEAK, D ;

CORBETT, JW .

PHYSICAL REVIEW B, 1976, 13 (02) :477-478

[6]

Landau L.D., 1977, QUANTUM MECH NONRELA

[7]

LYUBOV BY, 1985, DIFFUSION CHANGES DE

[8] BOMBARDMENT-ENHANCED DIFFUSION OF ARSENIC IN SILICON [J].

MABY, EW .

JOURNAL OF APPLIED PHYSICS, 1976, 47 (03) :830-836

[9] On the analysis of coordinate-dependent diffusion [J].

Malkovich, RS .

TECHNICAL PHYSICS, 2006, 51 (02) :283-286

[10]

Nayfeh A. H., 1981, Introduction to Perturbation Techniques

← 1 2 →