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Diffusion-reaction model for positron trapping and annihilation at spherical extended defects and in precipitate-matrix composites

机译：球形延伸缺陷和沉淀基复合材料中正电子俘获和an没的扩散反应模型

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摘要

The exact solution of a diffusion-reaction model for the trapping and annihilation of positrons in small extended spherical defects (clusters, voids, small precipitates) with competitive rate-limited trapping in vacancy-type point defects is presented. Closed-form expressions are obtained for the mean positron lifetime and for the intensities of the two positron lifetime components associated with trapping at defects. The exact solutions can be conveniently applied for the analysis of experimental data and allow an assessment in how far the usual approach, which takes diffusion limitation into account by means of effective diffusion trapping rates, is appropriate. The model is further extended for application to larger precipitates where diffusion- and reaction-limited trapping is not only considered for the trapping from the matrix into the precipitate-matrix interface, but also for the trapping from inside the precipitates into the interfaces. This makes the model applicable to all types of composite structures where spherical objects are embedded in a matrix, irrespective of their size and their number density.
机译：提出了一种扩散反应模型的精确解，该模型用于在扩展的球形缺陷（团簇，空隙，小析出物）中具有正竞争率限制的空位型点缺陷中的正电子的俘获和an灭。对于平均正电子寿命以及与缺陷处俘获有关的两个正电子寿命分量的强度，可以获得封闭形式的表达式。精确的解决方案可以方便地应用于实验数据的分析，并可以评估采用有效扩散捕获速率将扩散限制因素考虑在内的通常方法的适用范围。该模型可进一步扩展以适用于较大的沉淀物，其中扩散和反应受限的捕集不仅考虑从基质向沉淀物-基质界面的捕集，而且还考虑了从沉淀物内部向界面的捕集。这使得该模型适用于将球形物体嵌入到矩阵中的所有类型的复合结构，而不管其大小和数量密度如何。

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  • 来源
    《Physical review》 |2018年第22期|224108.1-224108.11|共11页
  • 作者

    Roland Wuerschum; Laura Resch; Gregor Klinser;

  • 作者单位

    Institute of Materials Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria;

    Institute of Materials Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria;

    Institute of Materials Physics, Graz University of Technology, Petersgasse 16, A-8010 Graz, Austria;

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