活性物质II色噪声模型中的有效平衡态。相平衡、结构和力学性质的统一框架
Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
摘要：
由色噪声驱动的活动粒子可以近似映射到服从细致平衡的系统上。对于这样的系统可以导出的有效相互作用允许通过有效自由能来描述活性流体的结构和相行为。在本文中，我们解释了为什么相关的热力学结果的压力和界面张力不代表的结果将测量机械。我们推导出一个动态的密度泛函理论，在稳定状态下，同时验证了有效的相互作用的使用，并提供了访问机械量。我们的计算表明，在色噪声模型中，共存相的机械压力可能是不相等的，界面张力可以变为负值。
英文摘要：
Active particles driven by colored noise can be approximately mapped onto a system that obeys detailed balance. The effective interactions which can be derived for such a system allow to describe the structure and phase behavior of the active fluid by means of an effective free energy. In this paper we explain why the related thermodynamic results for pressure and interfacial tension do not represent the results one would measure mechanically. We derive a dynamical density functional theory, which in the steady state simultaneously validates the use of effective interactions and provides access to mechanical quantities. Our calculations suggest that in the colored-noise model the mechanical pressure in coexisting phases might be unequal and the interfacial tension can become negative.
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