随机振荡器耗散-相干边界的初等推导
Elementary derivation of the dissipation-coherence bound for stochastic oscillators
AI总结：
通过结合高阶热力学不确定关系与相位电流涨落条件，初等推导了随机振荡器的耗散-相干边界，并推广至非高斯系统。
摘要：
耗散-相干边界是一个关于熵产生与随机振荡质量之间权衡的猜想。我们证明，通过将高阶“热力学不确定关系”与相位电流涨落的一个简单条件相结合，可以推导出该边界。在一维循环系统中，我们提出的条件被证明等价于耗散-相干边界本身。我们的方法在弱噪声高斯情形下给出了一个初等证明，并自然推广到一些非高斯系统，如我们通过一个run-and-tumble粒子所展示的。最后，我们对比了耗散-相干边界的基于电流和基于谱的表述。
英文摘要：
The dissipation-coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this bound can be derived by combining the higher-order ``thermodynamic uncertainty relation'' with a simple condition on phase-current fluctuations. In one-dimensional cyclic systems, our proposed condition is shown to be equivalent to the dissipation-coherence bound itself. Our approach yields an elementary proof in the weak-noise Gaussian regime and extends naturally to some non-Gaussian systems, as we illustrate with a run-and-tumble particle. Finally, we contrast current-based and spectral formulations of the dissipation-coherence bound.
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