论文标题
关于使用图理论来解释蒙特卡洛耗竭代码的输出结果
On the use of graph theory to interpret the output results from a Monte-Carlo depletion code
论文作者
论文摘要
对耗尽代码结果的分析通常被认为是一项繁琐而微妙的任务，因为它既需要处理大量信息（多达数千种异构体状态的时间依赖性组成），又需要对核反应和相关核数据的丰富经验。从这些观察结果中，为了实施耗尽问题的创新表示，专门的开发已集成到即将到来的蒙特卡洛耗竭代码Vesta 2.2的版本中。目的是为用户提供一个改编有效的框架，以简化对代码结果的分析并促进其解释。这项努力最终最终导致给定系统作为有向图的同位素演变的表示。在本文中，结果表明，在Vesta代码中编码的Bateman方程确实具有自然的解释，从定向的循环图来看，建议探索一些人可以从耗竭问题的图表中获得的一些见解。从代码的新功能开始，它显示了人们如何建立在现有的图理论方法的财富，以便获得有关在辐射下材料中发生的核反应的有用信息。耗尽问题的图表在激活问题中特别简单，因为仅涉及有限数量的核素和反应，图表及其相关工具将用于研究ITER融合反应器简化模型的结构材料的演变。
The analysis of the results of a depletion code is often considered a tedious and delicate task for it requires both the processing of large volume of information (the time dependent composition of up to thousands isomeric states) and an extensive experience of nuclear reactions and associated nuclear data. From these observations, dedicated developments have been integrated to the upcoming version of the Monte Carlo depletion code VESTA 2.2, in order to implement an innovative representation of depletion problems. The aim is to provide user with an adapted and efficient framework to ease the analysis of the results of the code and facilitate their interpretation. This effort ultimately culminated in the development of the representation of the isotope evolution of a given system as a directed graph. In this paper, it is shown that the Bateman equation encoded in the VESTA code indeed possesses a natural interpretation in terms of directed cyclic graph and it is proposed to explore some of the insight one can gain from the graph representation of a depletion problem. Starting from the new capabilities of the code, it is shown how one can build on the wealth of existing methods of graph theory in order to gain useful information about the nuclear reactions taking place in a material under irradiation. The graph representation of a depletion problem being especially simple in activation problems, for then only a limited number of nuclides and reactions are involved, the graph representation and its associated tools will be used to study the evolution of the structure materials of a simplifed model of the ITER fusion reactor.
