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
收藏
页码:327 / 331
页数:5
相关论文
共 50 条
  • [21] DIFFUSION PROCESSES IN INHOMOGENEOUS-MEDIA
    MANAKHOV, LV
    TUNITSKII, NN
    ZHURNAL FIZICHESKOI KHIMII, 1976, 50 (09): : 2259 - 2262
  • [23] Diffusion in spatially and temporarily inhomogeneous media
    Lehr, H
    Sagues, F
    Sancho, JM
    PHYSICAL REVIEW E, 1996, 54 (05): : 5028 - 5036
  • [24] Diffusion of colloids at short times
    Watzlawek, M
    Nagele, G
    OPTICAL METHODS AND PHYSICS OF COLLOIDAL DISPERSIONS, 1997, 104 : 168 - 172
  • [25] GEOMETRICAL THEORY OF DIFFRACTION IN INHOMOGENEOUS MEDIA
    SECKLER, BD
    KELLER, JB
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1959, 31 (02): : 192 - 205
  • [26] Theory of Thomson scattering in inhomogeneous media
    P. M. Kozlowski
    B. J. B. Crowley
    D. O. Gericke
    S. P. Regan
    G. Gregori
    Scientific Reports, 6
  • [27] ASYMPTOTIC THEORY OF DIFFRACTION IN INHOMOGENEOUS MEDIA
    SECKLER, BD
    KELLER, JB
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1959, 31 (02): : 206 - 216
  • [28] Theory of Thomson scattering in inhomogeneous media
    Kozlowski, P. M.
    Crowley, B. J. B.
    Gericke, D. O.
    Regan, S. P.
    Gregori, G.
    SCIENTIFIC REPORTS, 2016, 6
  • [29] Diffusion and sedimentation of particles in inhomogeneous porous media
    Roldugin, VI
    Kirsh, AA
    Stechkina, IB
    RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY, 2005, 79 (05): : 767 - 772
  • [30] Three-dimensional diffusion in inhomogeneous media
    van Kampen, NG
    SUPERLATTICES AND MICROSTRUCTURES, 1998, 23 (3-4) : 559 - 565