透過您的圖書館登入
IP:18.119.132.107
  • 學位論文

非平衡能量轉換效率與馬克斯妖

Non-equilibrium energy transduction efficiency and Maxwell demon

指導教授 : 張正宏

摘要


此論文引用Kullback-Leibler divergence概念將自由能定義由平衡態系統延伸到非平衡態系統,並計算環境改變給予系統的作功量,以及作功過程的耗散量,來理解非平衡態下的能量轉換效率。在類似於膠體旋轉與F1生物馬達的位能場下,我們透過數值模擬來量化分析該效率,並討論F1生物馬達運作原理與Maxwell demon的關係。

關鍵字

馬克斯妖 非平衡統計 效率

並列摘要


In this thesis, we introduce the idea of Kullback-Leibler divergence to extend the concept of free energy from equilibrium to non-equilibrium systems. We calculate the amount of work done on the system given by the environment and dissipation during the process to understand the efficiency of energy transduction in non-equilibrium systems. In the potential fields similar to a colloidal and F1-motor, we carry out numerical simulations to quantify and analyze this efficiency. Additionally we discuss the relation between the F1-motor and Maxwell demon.

參考文獻


[1]. Susanne Still, David A. Sivak, Anthony J. Bell and Gavin E. Crooks, PRL 109, 120604 (2012)
[3]. Wiki, Maxwell–Boltzmann distribution, Typical speeds
[6]. Harada T and Sasa S I 2005 Phys. Rev. Lett. 95 130602
[7]. Harada T and Sasa S I 2006 Phys. Rev. E 73 026131
[9]. Shannon, Claude E. (July–October 1948). "A Mathematical Theory of Communication". Bell System Technical Journal 27 (3): 379–423.

延伸閱讀