A new phase field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description. Conditions for the realization of phase coexistence and transition sequence are systematically analyzed, and shown to be satisfied by a broad range of model parameters, demonstrating the high flexibility and applicability of the model. Both temperature-density and temperature-pressure phase diagrams are identified, while structural evolution and coexistence among the three phases are examined through dynamical simulations. The model is also able to produce some temperature and pressure related material properties, including effects of thermal expansion and pressure on equilibrium lattice spacing, and temperature dependence of saturation vapor pressure. This model can be used as an effective approach for investigating a variety of material growth and deposition processes based on vapor-solid, liquid-solid, and vapor-liquid-solid growth.

中文翻译：

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气液固共存和过渡的最小相场晶体建模

建立了一种基于密度场方法并结合了高阶粒子间直接相关性的新相场晶体模型，以研究单一连续体描述中的气液固共存和相变。系统地分析了实现相位共存和过渡序列的条件，并证明满足了广泛的模型参数要求，证明了该模型的高度灵活性和适用性。确定了温度密度相图和温度压力相图，并通过动力学模拟检查了三相之间的结构演变和共存。该模型还能够产生一些与温度和压力有关的材料特性，包括热膨胀和压力对平衡晶格间距的影响，和饱和蒸汽压的温度依赖性。该模型可以用作研究基于气固，液固和气液固生长的各种材料生长和沉积过程的有效方法。