二维大块菱形的相变边界
Phase Boundaries of Bulk 2D Rhombi
AI总结：
研究二维相同硬菱形系统相图，通过复制交换蒙特卡罗模拟发现不同角度下相变行为，包括各向同性流体、菱形流体、旋转相和柱状填充结构。
摘要：
我们通过复制交换蒙特卡罗模拟研究了二维相同硬菱形系统的相图。菱形形状从接近正方形（当小角a接近90度时）到针状（当a接近0度时）。对于接近90度的角度，观察到各向同性流体、菱形流体、旋转相和随密度增加的柱状空间填充结构。相反，当a接近0度时，结果类似于针状极限。即使对于a=20度的角度，仍然在达到菱形固体前获得各向同性、向列性和菱形流体，但随着a减小，向列相变得重要。当a约60度时，非周期性空间填充结构主导，其长程六重取向对称性超过周期性结构如菱形和菱形。这种非周期性固体经历熔化过程，形成具有准长程六重取向对称性的相，即六边形流体，最终达到各向同性相。
英文摘要：
We conducted replica exchange Monte Carlo simulations to investigate the phase diagram of identical hard rhombi systems in two dimensions. The rhombi shape varies from nearly square-like, as their minor angle a approaches 90 degrees, to needle-like, as it approaches 0 degrees. For angles near 90 degrees, we observe an isotropic fluid, a rhombatic fluid, a rotator phase, and a columnar space-filling structure with increasing density. Conversely, as a approaches 0 degrees, the results resemble the needle limit. Even for angles as small as a = 20 degrees, we still obtain isotropic, nematic, and rhombatic fluids before reaching a rhombic solid, but the nematic phase gains importance with decreasing a. At a approximately 60 degrees, aperiodic space-filling structures with long-range six-fold orientational symmetry dominate over periodic candidates such as the rhombic and rhombille. This aperiodic solid undergoes a melting process leading to a phase with quasi-long-range six-fold orientational symmetry, a hexatic fluid, before reaching the isotropic phase.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
