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
  • [1] To the theory of diffusion in inhomogeneous media: Short times of the process
    A. G. Kesarev
    V. V. Kondrat’ev
    The Physics of Metals and Metallography, 2008, 106 : 327 - 331
  • [2] On the Theory of Diffusion in Inhomogeneous Media: Long Times of the Process
    Kesarev, A. G.
    Kondrat'ev, V. V.
    PHYSICS OF METALS AND METALLOGRAPHY, 2009, 108 (01) : 30 - 37
  • [3] On the theory of diffusion in inhomogeneous media: Long times of the process
    A. G. Kesarev
    V. V. Kondrat’ev
    The Physics of Metals and Metallography, 2009, 108 : 30 - 37
  • [4] Asymptotic Theory of Anisotropic Classical Diffusion in Inhomogeneous Media
    P. S. Kondratenko
    A. L. Matveev
    Yu. N. Obukhov
    Journal of Experimental and Theoretical Physics, 2021, 132 : 628 - 631
  • [5] Asymptotic Theory of Anisotropic Classical Diffusion in Inhomogeneous Media
    Kondratenko, P. S.
    Matveev, A. L.
    Obukhov, Yu. N.
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2021, 132 (04) : 628 - 631
  • [6] Extinction times of an inhomogeneous Feller diffusion process: A PDE approach
    Lavigne, Florian
    Roques, Lionel
    EXPOSITIONES MATHEMATICAE, 2021, 39 (01) : 137 - 142
  • [7] DIFFUSION IN INHOMOGENEOUS MEDIA
    PRAGER, S
    JOURNAL OF CHEMICAL PHYSICS, 1960, 33 (01) : 122 - 127
  • [8] Diffusion in inhomogeneous media
    Donos, Aristomenis
    Gauntlett, Jerome P.
    Ziogas, Vaios
    PHYSICAL REVIEW D, 2017, 96 (12)
  • [9] MODELING OF THE DIFFUSION PROCESS IN FOOD OVER SHORT TIMES
    LIU, H
    LAMB, J
    JOURNAL OF FOOD ENGINEERING, 1993, 19 (04) : 311 - 318
  • [10] On diffusion theory in inhomogeneous media: Thin-film source of diffusant
    Kesarev, A. G.
    Kondrat'ev, V. V.
    Lomaev, I. L.
    PHYSICS OF METALS AND METALLOGRAPHY, 2017, 118 (09) : 872 - 878
12345