Searching for solvability in Statistical Mechanics and beyond using advanced Enumerative Combinatorics

使用高级枚举组合学寻找统计力学及其他领域的可解性

• 批准号: DP0770705
• 负责人: Prof Aleksander Owczarek
• 金额: $ 22.07万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2008
• 资助国家: 澳大利亚
• 起止时间: 2008-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0770705
• 关键词: Searching; solvability; Statistical; Mechanics; beyond

Standard models in lattice statistical mechanics provide basic models of a large variety of physical systems from polymers to the spread of forest fires. The ability to write down some kind of solution to these problems provides inestimable insight into their generic and universal behaviour. This project aims to expand the types of "solution" that mathematicians and physicists can write down.

晶格统计力学的标准模型提供了从聚合物到森林火灾蔓延的各种物理系统的基本模型。写下这些问题的某种解决方案的能力提供了对其一般和普遍行为的不可估量的洞察力。该项目旨在扩大数学家和物理学家可以写下的“解决方案”的类型。