Development of Fast Algorithm for Dynamic Correlation Functions

动态相关函数快速算法的开发

• 批准号: 10650061
• 负责人: NAKAYAMA Tsuneyoshi
• 金额: $ 2.24万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650061/
• 关键词: Algorithm; FOM; Eigenvalues; Large matrices; Dynamic correlation

The aim of this research project is to develop the algorithm efficient for the eigenvalue analysis and computing dynamic correlation functions. In addition, we extend this algorithm to the Hermitian and non-Hermitian large-scale matrices. In this fisical year, we have succeeded to extend the algorithm as applicable any type of large-scale matrices. We have also applied this algorithm to various physical systems and demonstrated its efficiency.

本研究的目的是发展一种有效的算法，用于特征值分析和动态相关函数的计算。此外，我们将此算法推广到厄米特和非厄米特大规模矩阵。在本年度，我们成功地将该算法推广到任何类型的大型矩阵。我们还将该算法应用于各种物理系统，并证明了其效率。

项目成果

Tsuneyoshi Nakayama: "Strongly localized modes as the origin of the Bose peak in glasses"Physica B. 263&264. 243-247 (1999)

Tsuneyoshi Nakayama：“强局域化模式是眼镜玻色峰的起源”Physica B. 263

Tsuneyoshi Nakayama: "Computing the Kubo formula for large systems" Physical Review E. 58(3). 3984-3992 (1998)

Tsuneyoshi Nakayama：“计算大型系统的久保公式”物理评论 E. 58(3)。

Tsuneyoshi Nakayama: "On the increase of thermal conductivity in glasses above the plateau region"Physica B. 263&264. 261-263 (1999)

中山常吉：《论高原地区上方玻璃导热系数的增加》Physica B.263

Tsuneyoshi Nakayama: "The forced oscillator method : its applications to physical systems"RIKEN Review. 29・6. 16-19 (2000)

Tsuneyoshi Nakayama：“受迫振荡法：其在物理系统中的应用”RIKEN Review 29・6（2000）。

T.Terao and T.Nakayama: "Bond-orientational order of 2D colloidal crystal"Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)

T.Terao 和 T.Nakayama：“二维胶体晶体的键取向顺序”Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)