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
  • [41] ON THE THEORY OF VISCOELASTICITY OF STRUCTURALLY INHOMOGENEOUS-MEDIA
    POBEDRIA, BE
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1983, 47 (01): : 104 - 109
  • [42] Systematic distortions of signal propagation times in random inhomogeneous media
    O. A. Godin
    Doklady Physics, 2003, 48 : 389 - 393
  • [43] DIFFUSION IN ONE-DIMENSIONAL INHOMOGENEOUS-MEDIA
    MIYAZAWA, T
    IZUYAMA, T
    PHYSICAL REVIEW A, 1987, 36 (12): : 5791 - 5811
  • [44] THEORY OF ELECTROMAGNETIC RADIATION IN ANISOTROPIC INHOMOGENEOUS MEDIA
    LEIS, R
    MATHEMATISCHE ZEITSCHRIFT, 1968, 106 (03) : 213 - &
  • [45] FRAP Analysis of Proteins Diffusion and Binding in Inhomogeneous Media
    Orlova, Darya Yu
    Bartova, Eva
    Maltsev, Valeri P.
    Kozubek, Stanislav
    Chernyshev, Andrei V.
    BIOPHYSICAL JOURNAL, 2012, 102 (03) : 48A - 48A
  • [46] Diffusion in Homogeneous and in Inhomogeneous Media: A New Unified Approach
    Franco, Luis Fernando Mercier
    Castier, Marcelo
    Economou, Ioannis G.
    JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2016, 12 (11) : 5247 - 5255
  • [47] Systematic distortions of signal propagation times in random inhomogeneous media
    Godin, OA
    DOKLADY PHYSICS, 2003, 48 (08) : 389 - 393
  • [48] Fick and Fokker–Planck Diffusion Law in Inhomogeneous Media
    D. Andreucci
    E. N. M. Cirillo
    M. Colangeli
    D. Gabrielli
    Journal of Statistical Physics, 2019, 174 : 469 - 493
  • [49] Hydrodynamic Limit of the Exclusion Process in Inhomogeneous Media
    Jara, Milton
    DYNAMICS, GAMES AND SCIENCE II, 2011, 2 : 449 - 465
  • [50] Media theory for Mad Max times
    Sarikakis, Katharine
    Perez, Francisco Seoane
    INTERNATIONAL JOURNAL OF MEDIA & CULTURAL POLITICS, 2014, 10 (02) : 125 - 128
12345