使用贝叶斯脊回归加速对同质电子气体的合集群计算的趋同
Julie Butler1,2, Morten Hjorth-Jensen2,3, Justin G Lietz4
1Department of Biochemistry, Chemistry, and Physics, University of Mount Union, Alliance, Ohio 46601, USA.
The Journal of chemical physics
|October 2, 2024
概括
本研究引入了顺序回归推算 (SRE) 以有效预测对同质电子气体的合集群能量. 该SRE方法显著减少计算时间和资源,同时保持准确性.
科学领域:
- 计算物理 计算物理
- 量子化学 是一个量子化学.
- 材料科学 材料科学 材料科学
背景情况:
- 同质电子气体 (HEG) 是一个基本的模型系统,在物理和化学中具有广泛的应用.
- 在多体层面研究HEG是计算密集的,因为它的无限性质和合集群 (CC) 理论的扩展.
- 由于广泛的计算需求,对于HEG来说,在CC能量计算中实现融合往往是被禁止的.
研究的目的:
- 开发一种计算效率高的方法,用于预测在完整的基础极限中同质电子气体的合集群能量.
- 为了减少精确的HEG能量计算所需的大量计算时间和资源.
主要方法:
- 序列回归抽取 (SRE) 方法的开发.
- 贝叶斯脊回归的应用与二次多体扰动理论 (MBPT(2) 相对应能量相结合.
- 将合集群 (CC) 能量从截断的基础设置计算推算到完整的基础极限.
主要成果:
- 成功预测了各种系统大小 (N) 和密度参数 (rs) 的HEG的合集群双重 (CCSD) 能量.
- 在70个预测中,平均预测误差为5.20 × 10-4 hartree.
- 与传统方法相比,节省了88.9个计算小时.
结论:
- 该SRE方法准确地将HEG能量推断到完整的基础极限.
- 在计算时间和资源方面,SRE可以大大节省.
- 该SRE方法是多功能和适用于不同的系统,多体理论,和外推任务.
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