New frontiers in statistical mechanics

手性Potts模型是在1981年引入的，作为一个吸附在固体表面的原子或分子层中的无公度相变的模型。如果吸附的原子都与表面原子之间的空穴相匹配，则所添加的层被冻结，与表面相称。如果添加的原子不能适合空穴，则添加的层不再与表面相称，并且可能处于浮动状态。更深入地了解这一点和分层系统中的类似现象具有纳米技术的意义。这可能会影响新的小型电子设备的设计，也可能适用于小型生物系统和新药的开发。这个项目肯定会导致新的应用数学。

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.