We study a discrete stochastic model of a molecular motor. This discrete model can be viewed as a \emph{minimal} ratchet model. We extend our previous work on this model, by further investigating the constraints imposed by the Fluctuation Theorem on the operation of a molecular motor far from equilibrium. In this work, we show the connections between different formulations of the Fluctuation Theorem. One formulation concerns the generating function of the currents while another one concerns the corresponding large deviation function, which we have calculated exactly for this model. A third formulation of FT concerns the ratio of the probability of making one forward step to the probability of making one backward step. The predictions of this last formulation of the Fluctuation Theorem adapted to our model are in very good agreement with the data of Carter and Cross [Nature, {\bf 435}, 308 (2005)] on single molecule measurements with kinesin. Finally, we show that all the formulations of FT can be understood from the notion of entropy production.
Large Deviation Functions of Open Quantum Systems with Strong Symmetries
School of Physics and Technology, Nanjing Normal University（南京师范大学物理与天文学院）；School of Physics, Beihang University（北京航空航天大学物理学院）；Department of Physics, Xiamen University（厦门大学物理系）
Nonequilibrium fluctuation-dissipation theorem and heat production
我们使用非平衡系统中的响应和关联函数之间的关系来建立热产生和偏离平衡涨落耗散定理之间的联系。该方案扩展了Harada-Sasa公式[Phys. Rev. Lett. 95，130602（2005）]，对于稳态的朗之万方程获得，因为它也适用于瞬态状态和涉及小熵变化的离散跳跃过程。此外，一般的配方包括两个时间和两个时间的工作，动能的新概念，和两个时间的热交换，可以涉及到一个非平衡的“有效温度”。一个链的非谐振子和ATP水解驱动的分子马达模型的数值模拟说明了这些点。
Universal classical and quantum fluctuations in the large deviations of current of noisy quantum systems: Quantum symmetric simple exclusion and inclusion processes
Université Côte d’Azur（蔚蓝海岸大学）；CNRS（法国国家科学研究中心）；Institut de Physique de Nice（尼斯物理研究所）；Institut Universitaire de France (IUF)（法兰西学院）；Laboratoire de Physique de l’École Normale Superieure（巴黎高等师范学院物理实验室）；ENS & Université PSL（巴黎文理研究大学）；Sorbonne Université（索邦大学）；Université Paris Cité（巴黎西岱大学）
