用扩散-反应理论模拟基体与柱状或球状沉淀相界面的正电子俘获和湮没
Positron trapping and annihilation at interfaces between matrix and cylindrical or spherical precipitates modeled by diffusion-reaction theory
摘要：
本文给出了正电子在沉淀$-$基复合材料界面俘获和湮灭的扩散$-$反应模型的精确解，考虑了圆柱形和球形沉淀。扩散限制考虑从周围的基质以及从内部的沉淀物的界面捕获。封闭形式的表达式得到的平均正电子寿命和强度的正电子寿命组件与接口捕获状态。该模型包含作为特殊情况下，也正电子捕获在扩展的开放体积缺陷，如球形空洞或空心圆柱体。这使得该模型适用于所有类型的圆柱形和球形的扩展缺陷，无论其大小和数量密度。
英文摘要：
The exact solution of a diffusion$-$reaction model for the trapping and annihilation of positrons at interfaces of precipitate$-$matrix composites is presented considering both cylindrical or spherical precipitates. Diffusion-limitation is taken into account for interfacial trapping from the surrounding matrix as well as from the interior of the precipitate. Closed-form expressions are obtained for the mean positron lifetime and for the intensity of the positron lifetime component associated with the interface-trapped state. The model contains as special case also positron trapping at extended open-volume defects like spherical voids or hollow cylinders. This makes the model applicable to all types of cylindrical- and spherical-shaped extended defects irrespective of their size and their number density.
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