发表机构
UHasselt, Faculty of Sciences（哈瑟尔特大学理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对周期驱动随机系统，推导了小驱动线性区电流的阻抗/导纳闭合表达式，将其等效为含N个串联阻容支路的电路，可用于检测破缺对称性或图拓扑。
AI 中文摘要
我们研究周期驱动随机系统中产生的随时间变化的电流。在小驱动的线性区域，获得了与这些电流相关的阻抗/导纳的闭合表达式，该表达式可直接根据等效电路进行解释。对于具有N个状态的随机系统，等效电路恰好由N个并联支路组成，每个支路包含一个电阻和一个电容串联。我们计算了这些电流的低频和高频极限，并将结果推广到更一般的电流表达式中。我们在几种典型场景中验证了这些发现，说明了其检测特定破缺对称性或与随机过程相关的图拓扑结构的潜力。
英文摘要
We study the time-dependent currents arising in periodically driven stochastic systems. In the linear regime of small driving, a closed expression is obtained for the impedance/admittance associated with these currents. This expression leads directly to an interpretation in terms of an equivalent electrical circuit. For a stochastic system with $N$ states, the electrical circuit consists of precisely $N$ parallel branches, with each branch comprising a resistor and a capacitor in series. The low- and high-frequency limits of these currents are calculated, and the results are generalized to more general current expressions. We demonstrate our findings across several archetypal settings, illustrating the potential to detect specific broken symmetries or the graph topology associated with the stochastic process.
Comments10 pages, 4 figures
