## Abstract

A mathematical description of dislocation diffusion is presented that avoids the grosser approximations employed by previous authors. Dislocations are represented as cylindrical 'pipes' of radius a, perpendicular to a surface y=0, within which the diffusion coefficient D' is very much greater than the coefficient D elsewhere. With the sole assumption that the concentration within the pipe is uniform radially (because D'>>D) and equal to the concentration outside at r=a, the authors calculate the total mean concentration (c) at depth y for diffusion (i) from a constant concentration source at y=0 and (ii) from a finite thin source deposited at y=0. In both cases, log (c) varies almost exactly linearly with y at distances y>or approximately=4(Dt) ^{1/2} and with exactly the same slope. Absolute values of (c) are much greater, by 1 to several powers of 10, than those previously calculated by Mimkes and Wuttig (1970). From the slope and the extrapolated intercept, at y=0, of this linear 'tail' region can be estimated D'a^{2/D} and the dislocation density d.

Original language | English |
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Article number | 011 |

Pages (from-to) | 3863-3879 |

Number of pages | 17 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 14 |

Issue number | 27 |

DOIs | |

State | Published - 1 Dec 1981 |

## ASJC Scopus subject areas

- Condensed Matter Physics
- General Engineering
- General Physics and Astronomy