Density functional theory (DFT) of freezing and hypernetted chain (HNC) integral equation theory has been used to investigate the nature of pair-correlations and the freezing transitions in a binary mixture of ultrasoft colloidal particles confined to a two-dimensional (2D) plane. The particles of the system interact via Hertzian type model potential with varying softness. The accuracy of the pair-correlations obtained by HNC theory has been tested by performing NVT Monte Carlo (MC) simulation. The partial pair correlation functions of the mixture are found to exhibit non-monotonous behaviour whose nature depends on the softness of the potential and composition. Pair-correlations obtained by solving the HNC integral equation theory have been used in DFT to determine the freezing parameters of fluid-substitutionally disordered triangular solid. The constant pressure phase diagrams in the composition-temperature plane are found to be narrow spindle types.

冻结和超网状链 (HNC) 积分方程理论的密度泛函理论 (DFT) 已用于研究限制在二维 (2D) 平面内的超软胶体粒子的二元混合物中的对相关性质和冻结跃迁. 系统的粒子通过具有不同软度的赫兹型模型势相互作用。通过执行 NVT 蒙特卡罗 (MC) 模拟测试了由 HNC 理论获得的对相关的准确性。发现混合物的部分对相关函数表现出非单调行为，其性质取决于电位和成分的软度。通过求解 HNC 积分方程理论获得的对相关已在 DFT 中用于确定流体替代无序三角形固体的冻结参数。