New frontiers in statistical mechanics

统计力学的新领域

• 批准号: LX0989627
• 负责人: Prof Vladimir Bazhanov
• 金额: $ 5.52万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Linkage - International
• 财政年份: 2009
• 资助国家: 澳大利亚
• 起止时间: 2009-01-01 至 2009-07-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/LX0989627
• 关键词: New; frontiers; statistical; mechanics

The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of this and similar phenomena in layered systems has nanotechnological implications. This may affect the design of new small electronic devices or could apply to small biological systems and the development of new medicines. The project will surely lead to new applicable mathematics.

手性 Potts 模型于 1981 年推出，作为吸附到固体表面的原子或分子层中相称-不相称相变的模型。如果吸附的原子全部适合表面原子之间的孔，则添加的层被冻结，与表面相称。如果添加的原子无法适合孔洞，则添加的层将不再与表面相称，并且可能处于浮动状态。对层状系统中的这种现象和类似现象的更深入理解具有纳米技术意义。这可能会影响新的小型电子设备的设计，或者可能适用于小型生物系统和新药物的开发。该项目肯定会带来新的应用数学。