论文标题
在非均匀弯曲表面上的相变：相位和位置之间的耦合
Phase transitions on non-uniformly curved surfaces: Coupling between phase and location
论文作者
论文摘要
对于局限于两个维度的颗粒，表面的任何曲率都会影响系统的结构，动力学和热力学特性。如果曲率是不均匀的，则可能会出现更丰富的行为范围。使用定制的蒙特卡洛，分子动力学和盆地跳跃方法的组合，我们表明，限制在非均匀弯曲表面的有吸引力的胶体的稳定状态不仅取决于物质的相位，而且还取决于其在表面上的位置。因此，这些状态之间的过渡涉及整个胶体组装的合作迁移。我们证明了这些模型胶体具有不同相互作用范围的模型胶体上的这些现象，如摩尔斯电位所描述的。在所有情况下，行为都可以通过三个普遍的考虑来合理化：群集周围，压力和下一年度邻居的包装。
For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a combination of bespoke Monte Carlo, molecular dynamics and basin-hopping methods, we show that the stable states of attractive colloids confined to non-uniformly curved surfaces are distinguished not only by the phase of matter but also by their location on the surface. Consequently, the transitions between these states involve cooperative migration of the entire colloidal assembly. We demonstrate these phenomena on toroidal and sinusoidal surfaces for model colloids with different ranges of interactions as described by the Morse potential. In all cases, the behaviour can be rationalised in terms of three universal considerations: cluster perimeter, stress, and the packing of next-nearest neighbours.
