发表机构
University of Chicago; Weizmann Institute of Science; ESPCI Paris, Université PSL, CNRS; Université Pierre et Marie Curie; John A. Paulson School of Engineering and Applied Sciences, Harvard University; Leinweber Institute for Theoretical Physics, University of Chicago（芝加哥大学; 魏茨曼科学研究所; 巴黎高等物理化工国立学院，巴黎文理研究大学，法国国家科学研究中心; 皮埃尔和玛丽·居里大学; 哈佛大学约翰·A·保尔森工程与应用科学学院; 芝加哥大学莱因韦伯理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文将随机密度泛函理论扩展至具有手性过阻尼极限的系统，提出“奇SDFT”，并推导出磁场中电解质的完整电导率张量，超越平均场理论。
AI 中文摘要
随机密度泛函理论（SDFT）为研究多体系统在平衡态和非平衡态下的动力学提供了一个强有力的框架。在其标准形式中，它可被视为带有白噪声的耦合朗之万方程基于密度的表述。在此，我们将SDFT扩展到一类系统，从磁化电解质到手性活性物质，这些系统具有手性过阻尼极限，在该极限中，弛豫时间尺度和振荡周期同时趋于零。我们通过取受洛伦兹力作用的欠阻尼粒子的涨落流体动力学描述的过阻尼极限，推导出这一我们称之为“奇SDFT”的表述。我们通过使用直接线性响应和格林-久保关系计算相互作用粒子的集体迁移率张量，确立了所得框架的有效性和实用性。随后，我们将该理论应用于磁场中电解质的霍尔电导率。超越平均场理论，并使用两种不同的格林-久保关系，我们推导出完整的电导率张量，将德拜-休克尔-昂萨格理论的弛豫部分扩展到有限磁场的情形。
英文摘要
Stochastic density functional theory (SDFT) provides a powerful framework for studying the dynamics of many-body systems both in and out of equilibrium. In its standard form, it can be viewed as a density-based formulation of coupled Langevin equations with white noise. Here, we extend SDFT to a class of systems, ranging from magnetized electrolytes to chiral active matter, that possess a chiral overdamped limit in which a relaxation timescale and an oscillation period are simultaneously taken to zero. We derive this formulation, which we dub ``odd SDFT", by taking the overdamped limit of a fluctuating hydrodynamic description of underdamped particles subject to a Lorentz force. We establish the validity and utility of the resulting framework by calculating the collective mobility tensor of interacting particles using both direct linear response and a Green-Kubo relation. We then apply the theory to the Hall conductivity of electrolytes in magnetic fields. Going beyond mean-field theory and using two distinct Green-Kubo relations, we derive the full conductivity tensor, extending the relaxation part of the Debye-Hückel-Onsager theory to the case of finite magnetic fields.
