论文标题

通过随机重置设计自主麦克斯韦恶魔

Designing Autonomous Maxwell Demon via Stochastic Resetting

论文作者

Bao, Ruicheng, Cao, Zhiyu, Zheng, Jiming, Hou, Zhonghuai

论文摘要

Autonomous Maxwell Demon是Mandal和Jarzynski提出的一种新型信息引擎,可以通过利用信息录像带来产生工作。在这里,我们表明可以使用随机重置机制来提高自主麦克斯韦恶魔的性能。通常,性能由两个重要特征组成,即自主恶魔达到其功能状态和其功能状态有效工作区域的时间成本。在这里,我们为系统提供了一组设计原理,它们能够改善这两个重要功能。一方面,一个人可以将任何自主恶魔系统以最快的速度驱动其功能周期性稳态,以通过将恶魔重置预定的关键时间并在此之后关闭重置,从而使任何初始分布。另一方面,当重置始终开始时,系统可以达到新的功能状态,在这种情况下,恶魔的有效区域大大扩展。此外,已经发现了通过重置的恶魔的新相图中的双重函数区域。值得注意的是,在这个双重功能区域中,具有重置的恶魔可以同时实现工作异常的输出和删除磁带上的信息,从而违反了热力学的第二定律。对于这个问题,我们得出了新的修改后的克劳西乌斯不平等,以考虑重置成本来恢复第二定律。

Autonomous Maxwell demon is a new type of information engine proposed by Mandal and Jarzynski, which can produce work by exploiting an information tape. Here, we show that a stochastic resetting mechanism can be used to improve the performance of autonomous Maxwell demons notably. Generally, the performance is composed of two important features, the time cost for an autonomous demon to reach its functional state and its efficacious working region in its functional state. Here, we provide a set of design principles for the system, which are capable of improving the two important features. On the one hand, one can drive any autonomous demon system to its functional periodic steady state at a fastest pace for any initial distribution through resetting the demon for a predetermined critical time and closing the reset after that. On the other hand, the system can reach a new functional state when the resetting is always on, in which case the efficacious region of the demon being extended significantly. Moreover, a dual function region in a new phase diagram of the demon with resetting has been found. Remarkably, in this dual function region the demon with resetting can realize anomalous output of work and erasure of information on the tape simultaneously, violating the second law of thermodynamics apparently. To this question, we derive a new modified Clausius inequality to restore the second law by taking the cost of resetting into account.

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