AI 中文总结
研究互易布朗电机中机械失速坐标后的隐藏熵产生，通过引入可解析求解的朗之万电机，利用力 - 扭矩互易性和平移对称性，证明可仅通过观测坐标测量精确重构隐藏熵产生，无需时间尺度分离。
AI 中文摘要
我们表明，在互易布朗电机中，仅通过对机械失速坐标的测量就可以精确重构隐藏在该坐标后的熵产生。我们引入了一个最小的、可解析求解的朗之万电机，其中观测到的平移坐标与隐藏的内转子相互耦合：单个周期势$V(x - \ell\theta)$既产生作用在观测坐标上的力，也产生作用在隐藏坐标上的反扭矩，使得$\tau_{\rm int}=-\ell F_x$恒成立。力 - 扭矩互易性和平移对称性产生了一个局部电流恒等式，从而完成了隐藏的热力学簿记。由此我们证明，通过观测坐标测量的原田 - 笹田热等于该坐标的正电流平方耗散，信息流修正恒为零。它属于互易类，因为它不需要时间尺度分离。
英文摘要
We show that in a reciprocal Brownian motor the entropy production hidden behind a mechanically stalled coordinate can be reconstructed exactly from measurements of that coordinate alone. We introduce a minimal, analytically solvable Langevin motor in which an observed translational coordinate is coupled reciprocally to a hidden internal rotor: a single periodic potential $V(x-\ellθ)$ generates both the force on the observed coordinate and the reaction torque on the hidden one, so that $τ_{\rm int}=-\ell F_x$ holds identically. Force--torque reciprocity together with translational symmetry produces a local current identity that closes the hidden thermodynamic bookkeeping. From it we prove that the Harada--Sasa heat measured through the observed coordinate equals the positive current-square dissipation of that coordinate, with the information-flow correction vanishing identically. eciprocal class. ries in that it requires no separation of time scales.
Comments15 pages
