周期过程的强化第二定律
Strengthened second law for periodic processes
浏览论文内容
中文总结 AI 辅助
该研究推导了适用于任意周期过程的与物理无关的熵产生下界，强化了周期过程的热力学第二定律，讨论了其在自旋、确定有限自动机上的应用。
中文摘要 AI 辅助
许多物理系统在周期驱动下演化：即便系统状态在每个循环后不一定回到初始位置，仍会反复应用相同的控制协议。我们针对由初始分布$p_0$经同一映射$G$反复应用所建模的任意周期过程，推导了与物理无关的熵产生下界，这是对周期过程热力学第二定律的严格强化。该下界不要求单周期动力学来自连续时间马尔可夫链（CTMC）、满足（局域）细致平衡或受其他典型限制。我们讨论了其在居里-外斯模型中的自旋及确定有限自动机（Deterministic Finite Automata）上的应用，还可扩展至其他通用计算机。
英文摘要
Many physical systems evolve under periodic driving: the same control protocol is applied again and again, even though the state of the system itself need not return to where it started after each cycle. We derive a physics-independent lower bound on the entropy production of \emph{any} periodic process modeled by the evolution of an initial distribution $p_0$ by a repeated application of the same map $G$. This is a strict strengthening of the second law of thermodynamics for periodic processes. It does not require that the single-period dynamics arise from a CTMC, satisfy (local) detailed balance, or be subject to other typical restrictions. We discuss its application to spins in the Curie-Weiss model and Deterministic Finite Automata, with possible extensions to other uniform computers.
发表机构
- Princeton University（普林斯顿大学）
- Santa Fe Institute（圣塔菲研究所）
- Complexity Science Hub（复杂性科学中心）
机构由 AI 辅助整理，请以论文原文为准。
