Wu Yu-Xin, Gu Jiayin, Quan H T
School of Physics, Peking University, Beijing 100871, China.
Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
Phys Rev E. 2022 Jul;106(1-1):014154. doi: 10.1103/PhysRevE.106.014154.
We provide a detailed investigation of the fluctuations of the currents in the discrete model of Feynman's ratchet proposed by Jarzynski and Mazonka in 1999. Two macroscopic currents are identified, with the corresponding affinities determined using Schnakenberg's graph analysis. We also investigate full counting statistics of the two currents and show that fluctuation theorem holds for their joint probability distribution. Moreover, fluctuation-dissipation relation, Onsager reciprocal relation and their nonlinear generalizations are numerically shown to be satisfied in this model.
我们对1999年雅尔津斯基和马佐恩卡提出的费曼棘轮离散模型中的电流涨落进行了详细研究。识别出了两种宏观电流，并使用施纳肯贝格的图分析确定了相应的亲和势。我们还研究了这两种电流的全计数统计，并表明涨落定理对它们的联合概率分布成立。此外，通过数值计算表明该模型满足涨落耗散关系、昂萨格互易关系及其非线性推广。
