Exploring critical phenomena with tools from lattice models, CFT and SLE

使用晶格模型、CFT 和 SLE 工具探索关键现象

• 批准号: 44323-2009
• 负责人: SaintAubin, Yvan
• 金额: $ 1.31万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=521702
• 关键词: Exploring; critical; phenomena; tools; lattice

Phase transitions form a field of statistical physics that remains extremely difficult mathematically. One of the difficulties lies in the fact that a transition, like the transformation of liquid water into ice, may occur only when the number of particles (the molecules of water) is extremely large. Mathematicians choose to model this situation by actually taking the limit as this number of particles goes to infinity.

相变构成了统计物理领域，在数学上仍然非常困难。一个困难之一在于，只有在颗粒数（水分子）极大的情况下，才能发生过渡，例如将液体水转化为冰。数学家选择通过实际限制来对这种情况进行建模，因为这一数量的粒子变为无穷大。