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.

相变形成了统计物理学的一个领域，在数学上仍然非常困难。困难之一在于，像液态水转变成冰这样的转变，只有在粒子（水分子）的数量非常大的情况下才可能发生。数学家们选择通过实际上把粒子的数量限制为无穷大来模拟这种情况。