arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2008.10890cond-mat.stat-mech
收藏

关于Maxwell's Demon的新涨落定理

New Fluctuation Theorem on Maxwell's Demon

Qian Zeng, Jin Wang

摘要:

随着人们对纳米尺度和介观尺度下系统控制的兴趣日益浓厚,人们通过对麦克斯韦妖概念的提炼,对开放系统中能量耗散的极限进行了研究。著名的Sagawa-Ueda涨落定理提供了一个解释的恶魔:恶魔的信息的一部分的缺乏导致不适当的熵产生,违反热力学第二定律。意识到恶魔不仅对系统而且对环境有贡献,我们引入耗散信息来量化恶魔的总贡献,而不是使用不适当的熵产生。我们在此基础上证明了一组新的涨落定理,可以用来揭示恶魔背后的真相:受控系统在任何粗粒度水平上都不违反恶魔控制的第二定律。然而,不可避免地存在着一种耗散信息,它总是增加熵产生。这些定理的一个结果是,更少的工作和更多的热量可以提取和产生的恶魔分别比上田-佐川定理预测的限制。我们还提出了一个可能实现的实验估计这些工作和热的界限,这可以测量和测试。

英文摘要:

With the increasing interest for the control of the system at the nano and mesoscopic scales, studies have been focused on the limit of the energy dissipation in an open system by refining the concept of the Maxwell's demon. The well-known Sagawa-Ueda fluctuation theorem provides an explanation of the demon: the absence of a part of demon's information leads to an improper entropy production which violates the thermodynamic 2nd law. Realizing that the demon contributes not only to the system but also to the environments, we introduce the dissipative information to quantify the total contribution of the demon, rather than using an improper entropy production. We prove a set of new fluctuation theorems based on this, which can be used to uncover the truth behind the demon: The controlled system does not violate the 2nd law at any coarse-grained level for the demon's control. However, there exists an inevitable demon-induced dissipative information which always increases the entropy production. A consequence of these theorems is that, less work and more heat can be extracted and generated respectively by a demon than the limits predicted by the Ueda-Sagawa theorem. We also suggest a possible realization of the experimental estimation of these work and heat bounds, which can be measured and tested.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑