New frontiers in statistical mechanics

手性波茨模型于1981年被引入，作为吸附在固体表面的原子或分子层中的相应不相称相变的模型。如果被吸附的原子都适合表面原子之间的空穴，那么增加的层就会被冻结，与表面相称。如果添加的原子不能适应空穴，则添加的层不再与表面相称，并且可能处于浮动状态。对分层系统中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，也可能适用于小型生物系统和新药的开发。这个项目一定会产生新的应用数学。

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.