AI 中文总结
本研究基于线性响应理论统一了流变学、电化学阻抗谱与宽带介电谱，明确其概念异同与分析方法，为跨领域思想交流提供基础。
AI 中文摘要
光谱技术测量受振荡扰动的物理系统的动力学响应。在平衡态附近的小扰动下，这些光谱方法通过线性响应理论这一共同数学框架实现统一。本研究从线性响应理论视角，提出了流变学（或机械光谱）、电化学阻抗谱与宽带介电谱的统一视角，通过分析它们到线性响应理论的映射、基本构建模块、初等模型及时频域响应函数，凸显了这些技术间细微的概念异同。还讨论了数据验证与分析方法，包括克拉默斯-克朗尼格关系、等效电路及多模模型。不同光谱学的共同基础可实现跨领域思想的无缝交流。
英文摘要
Spectroscopic techniques measure the dynamical response of physical systems subjected to oscillatory perturbations. For small perturbations around the equilibrium state, these spectroscopic methods are unified by the common mathematical framework of linear response theory. This work presents a unified perspective on rheological or mechanical spectroscopy, electrochemical impedance spectroscopy, and broadband dielectric spectroscopy through the lens of linear response theory. Subtle conceptual similarities and differences among these techniques are highlighted by analyzing their mapping to the linear response theory, basic building blocks, elementary models, and time and frequency domain response functions. Data validation and analysis approaches, including Kramers-Kronig relations, equivalent circuits, and multimode models are discussed. The shared fundamentals of different spectroscopies enable seamless exchange of ideas across domains.
Comments45 pages, 6 figures. Published in ACS Measurement Science Au
DOI：10.1021/acsmeasuresciau.6c00098
