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arXiv 2203.00764cond-mat.stat-mechquant-ph
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多维二次布朗系统的热力学和最优协议

Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

Paolo Abiuso, Viktor Holubec, Janet Anders, Zhuolin Ye, Federico Cerisola, Martí Perarnau-Llobet

摘要:

我们刻画了多维二次过阻尼系统的有限时间热力学过程。解析表达式提供的热量,工作,和耗散的系统协方差矩阵的任何演变。协方差矩阵之间的Bures-Wasserstein度量自然地作为耗散的局部量词出现。如何应用这些几何工具,以确定最佳的协议的一般原则进行了讨论。专注于相关的慢驾驶限制,我们展示了如何这些结果可以用来分析的情况下,实验控制系统是部分的。

英文摘要:

We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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