论文标题
在没有详细平衡的情况下，波动散落关系：形式主义和对活跃物质的应用
Fluctuation-Dissipation Relations in the absence of Detailed Balance: formalism and applications to Active Matter
论文作者
论文摘要
我们介绍了一项有关非平衡系统中详细平衡方式与违反波动散失定理的详细平衡方式之间关系的全面研究。从在时间逆转下具有奇数甚至变量的随机动力学开始，我们利用熵产生和详细平衡分解之间的关系，以建立对非平衡稳态（NESS）的一般限制，这将动力学的非平衡性与NESS分布的对称特性相关联。这提供了一种直接的途径，以得出延伸的波动 - 隔离关系，以NESS相关性表示线性响应函数。这样的框架提供了一种统一的方式，可以理解与活动系统的平衡及其线性响应的偏离。然后，我们考虑两个相互作用的自属性颗粒的范式模型，即活跃的布朗颗粒（ABP）和活跃的Ornstein-uhlenbeck颗粒（AOUP）。我们分析了这些系统的非平衡性特征（也在马尔可夫和查普曼 - 恩斯科近似中），并为它们得出了延长的波动 - 散落关系，从而阐明了这些活动模型系统的哪些特征是真正的非平衡性。
We present a comprehensive study about the relationship between the way Detailed Balance is broken in non-equilibrium systems and the resulting violations of the Fluctuation-Dissipation Theorem. Starting from stochastic dynamics with both odd and even variables under Time-Reversal, we exploit the relation between entropy production and the breakdown of Detailed Balance to establish general constraints on the non-equilibrium steady-states (NESS), which relate the non-equilibrium character of the dynamics with symmetry properties of the NESS distribution. This provides a direct route to derive extended Fluctuation-Dissipation Relations, expressing the linear response function in terms of NESS correlations. Such framework provides a unified way to understand the departure from equilibrium of active systems and its linear response. We then consider two paradigmatic models of interacting self-propelled particles, namely Active Brownian Particles (ABP) and Active Ornstein-Uhlenbeck Particles (AOUP). We analyze the non-equilibrium character of these systems (also within a Markov and a Chapman-Enskog approximation) and derive extended Fluctuation-Dissipation Relations for them, clarifying which features of these active model systems are genuinely non-equilibrium.
