Solvable models on regular and random lattices in statistical mechanics and field theory

统计力学和场论中规则和随机晶格的可解模型

• 批准号: ARC : DP0208481
• 负责人: Prof Rodney Baxter
• 金额: $ 31.8万
• 依托单位: Australian National University Institute of Advanced Studies
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2002
• 资助国家: 澳大利亚
• 起止时间: 2002-01-01 至 2004-12-31
• 项目状态: 已结题
• 来源: https://researchdata.edu.au/solvable-models-regular-field-theory/69812
• 关键词: Solvable; models; regular; random; lattices

Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as\r\nleading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:\r\nthe relationship between Tutte's work on dichromatic polynomials and matrix models, the outstanding problem of calculating the order parameters of the chiral Potts model, and the eigenvalue spectra of the transfer matrices that occur in integrable models. \r\n

统计力学和场论中规则和随机晶格的可解模型。统计力学和场论中只有少数可解的模型，但那些已知的模型可以深入洞察表征临界点的合作行为，并导致引人入胜的数学。两位首席研究员多年来一直处于该领域的前沿。目前，他们希望解决许多令人兴奋的显着挑战：Tutte 在二色多项式和矩阵模型方面的工作之间的关系、计算手性 Potts 模型阶参数的突出问题以及可积模型中出现的传递矩阵的特征值谱。 \r\n