论文标题
硬盘在一维电位中的冻结和重新进入熔化：基于压力平衡方程的\\预测
Freezing and re-entrant melting of hard discs in a one-dimensional potential:\\ Predictions based on a pressure-balance equation
论文作者
论文摘要
从理论上讲，我们在一维（1D）外部电势（通常称为激光诱导的冻结）上研究了硬盘上的二维（2D）系统的冻结行为。如较早的理论和数值研究所示，人们观察到底物电位振幅增加后调制液体的冻结，当底物电位幅度进一步增加时，重新入口融化回模式液体。我们目前的工作的目的是根据批量系统的信息来计算冻结和重新输入熔融相图。为此，我们采用了从密度功能理论得出的集成压力平衡方程[Phys。 Rev. E \ textbf {101}，012609（2020）]。此外，我们定义了一种量度，以量化定性解释重点熔化的登记效应的影响。尽管进行了严格的近似值，但计算出的相图与蒙特卡洛模拟获得的已知相图显示了良好的一致性。
We investigate theoretically the freezing behaviour of a two-dimensional (2D) system of hard discs on a one-dimensional (1D) external potential (typically called laser-induced freezing). As shown by earlier theoretical and numerical studies, one observes freezing of the modulated liquid upon increase of the substrate potential amplitude, and re-entrant melting back into the modulated liquid when the substrate potential amplitude is increased even further. The purpose of our present work is to calculate the freezing and re-entrant melting phase diagram based on information from the bulk system. To this end, we employ an integrated pressure-balance equation derived from density functional theory [Phys. Rev. E \textbf{101}, 012609 (2020)]. Furthermore, we define a measure to quantify the influence of registration effects that qualitatively explain re-entrant melting. Despite severe approximations, the calculated phase diagram shows good agreement with the known phase diagram obtained by Monte Carlo simulations.
