论文标题
活性布朗盘的共存：范德华理论和分析结果
Coexistence of active Brownian discs: Van der Waals theory and analytical results
论文作者
论文摘要
在热平衡下，整个系统中必须统一温度和压力等密集型，从而限制了由不同阶段组成的不均匀系统。范式的例子是蒸气和液体的共存，蒸气和液体的共存，也可以观察到活跃的布朗尼颗粒稳步驱动平衡的状态。最近，已经提出了一种允许预测活性颗粒的相位平衡的策略[物理。 Rev. e \ textbf {97}，020602（r）（2018）]。在这里，我们详细阐述了这种策略，并在活跃盘的范德华理论的框架内制定了它。对于给定的状态方程式，我们在分析上得出有效的自由能，并表明它与数值结果相吻合时产生了共存的密度。我们讨论界面张力以及与Cahn-Hilliard模型的关系。
At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and liquid, a state that can also be observed for active Brownian particles steadily driven away from equilibrium. Recently, a strategy has been proposed that allows to predict phase equilibria of active particles [Phys. Rev. E \textbf{97}, 020602(R)(2018)]. Here we elaborate on this strategy and formulate it in the framework of a van der Waals theory for active discs. For a given equation of state, we derive the effective free energy analytically and show that it yields coexisting densities in very good agreement with numerical results. We discuss the interfacial tension and the relation to Cahn-Hilliard models.
