外躁聲驅動下的微觀Stirling熱機效率

The efficiency of microscopic Stirling heat engine driven by external noises

張家榮(Chia-Jung Chang)

指導教授 ： 張正宏 ； 田溶根

國立交通大學/理學院/物理研究所/碩士(2018年)

摘要

在過去幾年有兩篇微觀熱機的研究:布朗Carnot熱機 [1]和主動 Stirling熱機 [2]，前者使用高斯白噪聲驅動而後者使用細菌的色噪聲驅動。其中該Stirling熱機的效率可超越古典熱力學宏觀熱機極限。這產生一個問題，是噪聲的甚麼性質導致了熱機的高效率?是噪聲的時間關連性或強度分佈，如高斯跟非高斯分佈?為了釐清這些問題，我們從解析上跟數值模擬上研究了數種外噪聲對Stirling熱機熱力學物理量的影響，如功、熱、跟效率。其中的噪聲包括了振動白噪聲跟不同的高斯色噪聲。這些結果提供了一個理論基礎讓實驗容易尋找高效率微觀熱機。

關鍵字

微觀熱機 ； 效率 ； 白噪聲 ； 色噪聲 ； 細菌

並列摘要

There have been two recent studies on the microscopic heat engines, one of which is a Brownian Carnot engine [1] and the other is an active Stirling engine [2]. The former is driven by Gaussian white noises and the latter is driven by bacteria. The active Stirling engine shows an efficiency higher than that limited by the macroscopic Stirling engine known in the traditional thermodynamics. It raises the question which properties of the noises are crucial for the high efficiency? Is it the temporal correlation or the magnitude statistics, such as the Gaussian or non-Gaussian distribution? To clarify these questions, we analytically and numerically study the effects of various external noises on several thermodynamic quantities of a Stirling heat engine, such as the work, the heat, and the efficiency. These stochastic driving sources include oscillatory noises and different Gaussian colored noises. These results provide a theoretical basis for the search of high efficient microscopic heat engines in experimental studies.

並列關鍵字

microscopic heat engine ； efficiency ； white noises ； colored noises ； bacteria

參考文獻

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