Large Scale Quantum Simulations Plasmas

大规模量子模拟等离子体

基本信息

批准号：
11480110
负责人：
TOTSUJI Hiroo
金额：
$ 3.78万
依托单位：
OKAYAMA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2001
项目状态：
已结题

项目摘要

In principle, electrons in plasmas are quantum objects. Except for the cases at high temperatures and with low densities where the quantum nature of electrons does not play an important role, we need to take it into account. One of typical examples is the implosion process in the inertial confinement fusion where ions and elecrons are strongly coupled.The lack of long-range order of crystalline lattice makes theoretical treatment of quantum plasmas difficult and numerical simulations become an important method of analysis. The quantum simulation usually requires large computational resources and the applicable system size is limited. In addition to this, we have another difficulty coming from the long-range nature of the Coulomb interaction. The purpose of this research project is to find solutions for these problems.We have applied the density functional molecular dynamics (DFMD) to overcome the first point in 2. In this method, the electron density is regard ed as a dynamic variable … More and one can perform large scale quantum simulations. We have analyzed the hydrogen plasma in the domain of liquid metal and have shown that quantum simulations with 1000 electrons are affordable. We have also confirmed that, by employing parallel PC clusters, we can simulate systems larger than the latter by one or two orders of magnitude. We have also checked the accuracy of DFMD by comparing the results with those of first principle simulations.To solve the second problem in 2, we have developed the computation code on the basis of the Fast Multipole method(FMM). We have applied our code to Coulomb clusters and found the critical system size for its structural phase transition. We have also applied our code to the Yukawa system which can be regarded as the simplest approximation for ions in quantum plasmas. The Yukawa system serves as a model of dusty plasmas whose behavior is an important subject in relation to plasma processing. Applications to Yukawa systems provide us with not only a reference system but also useful results for real systems. Less

原则上，等离子体中的电子是量子对象。除了在高温下的情况和低密度的量子性质不发挥重要作用的情况下，我们还需要考虑到它。典型的例子之一是惯性限制融合中的内爆过程，在该融合中，离子和电子密切耦合。缺乏远程晶格晶格的远程顺序使量子等离子体的理论处理变得困难，数值模拟成为一种重要的分析方法。量子模拟通常需要大量的计算资源，并且适用的系统尺寸受到限制。除此之外，我们还有另一个困难来自库仑相互作用的长期性质。该研究项目的目的是找到解决这些问题的解决方案。我们应用了密度功能分子动力学（DFMD）来克服2中的第一个点。在这种方法中，电子密度被视为动态变量……更多，并且可以执行大型量子量子模拟。我们已经分析了液态金属域中的氢等离子体，并表明具有1000个电子的量子模拟负担得起。我们还确认，通过使用平行的PC簇，我们可以通过一个或两个数量级模拟大于后者的系统。我们还通过将结果与第一个原理模拟的结果进行比较，检查了DFMD的准确性。要解决第二个问题，我们已经根据快速多极方法（FMM）制定了计算代码。我们已经将代码应用于库仑簇，并找到了其结构相变的关键系统大小。我们还将代码应用于Yukawa系统，该系统可以被认为是量子等离子体中离子最简单的近似值。 Yukawa系统是尘土飞扬的模型，其行为与等离子体处理有关。 Yukawa系统的应用不仅为我们提供了参考系统，还为真实系统提供了有用的结果。较少的