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
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
  • [22] Diffusion in inhomogeneous media with periodic microstructures
    Amar, Micol
    Andreucci, Daniele
    Cirillo, Emilio N. M.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2021, 101 (12):
  • [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] 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
  • [28] Modeling nonlinear moisture diffusion in inhomogeneous media
    Chen, Liangbiao
    Zhou, Jiang
    Chu, Hsing-wei
    Zhang, Guoqi
    Fan, Xuejun
    MICROELECTRONICS RELIABILITY, 2017, 75 : 162 - 170
  • [29] THE STOCHASTICITY OF INHOMOGENEOUS STATES OF ACTIVE MEDIA WITH DIFFUSION
    KERNER, BS
    KUZNETSOVA, EM
    OSIPOV, VV
    DOKLADY AKADEMII NAUK SSSR, 1984, 277 (05): : 1114 - 1118
  • [30] DIFFUSION IN INHOMOGENEOUS-MEDIA - LOCALIZATION AND POSITIVITY
    PELETIER, LA
    TESEI, A
    ANNALI DI MATEMATICA PURA ED APPLICATA, 1985, 141 : 307 - 330