Design, analysis and application of Monte Carlo algorithms in statistical mechanics

统计力学中蒙特卡洛算法的设计、分析及应用

• 批准号: DP110101141
• 负责人: A/Prof Timothy Garoni
• 金额: $ 5.96万
• 依托单位: Monash University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2011
• 资助国家: 澳大利亚
• 起止时间: 2011-01-01 至 2016-04-01
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP110101141
• 关键词: Design; analysis; application; Monte; Carlo

Monte Carlo methods provide a powerful computational tool with an enormous range of applications. However when applied in statistical mechanics they typically suffer from severe critical slowing-down, so that their computational efficiency tends rapidly to zero as a critical point is approached. We will develop novel, more efficient Monte Carlo algorithms, to simulate a range of models in statistical mechanics and back this up with rigorous mathematical analysis proving that their results can be trusted.

蒙特卡罗方法提供了一个强大的计算工具，具有巨大的应用范围。然而，当应用于统计力学时，它们通常会遭受严重的临界减速，因此当接近临界点时，它们的计算效率迅速趋于零。我们将开发新的，更有效的蒙特卡罗算法，以模拟统计力学中的一系列模型，并通过严格的数学分析来证明他们的结果是可信的。