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arXiv 2502.06014cond-mat.stat-mechcond-mat.soft
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循环擦除的热力学代价

Thermodynamic Cost of Recurrent Erasure

Deepak Gupta, Kristian Stølevik Olsen, Supriya Krishnamurthy

AI总结:

本文研究有限时间内反复改变简谐势阱刚度实现重置的热力学代价,推导功的矩生成函数,分析均值与方差,并给出使平均代价最小化的最优协议及其闭式表达式。

摘要:

近期实验通过时变外部简谐势阱实现重置,其中势阱刚度在有限时间内从初值改变到终值,随后系统在终态势阱中弛豫至平衡分布时被重置。这类装置与有限时间兰道尔擦除原理背景下研究的装置非常相似。我们通过推导在有限时间内反复改变势阱刚度从而维持非平衡稳态的功代价的矩生成函数,分析了这种装置的热力学代价。我们分析了一个具体实验可行协议所需功的均值和方差,并得到了一个使平均代价最小化的最优协议。对于这两种过程,我们的分析同时捕捉了大时间和小时间修正。对于最优协议,我们得到了所有协议持续时间下平均代价的闭式表达式,从而与早期关于实现信息擦除的耗散最小化最优协议的几何度量工作建立了联系。

英文摘要:

Recent experiments have implemented resetting by means of a time-varying external harmonic trap whereby the trap stiffness is changed from an initial to a final value in finite-time and then the system is reset when it relaxes to an equilibrium distribution in the final trap. Such setups are very similar to those studied in the context of the finite-time Landauer erasure principle. We analyze the thermodynamic costs of such a setup by deriving a moment generating function for the work cost of recurrently changing the trap stiffness in finite-time, thereby maintaining a non-equilibrium steady state. We analyze the mean and variance of the work required for a specific experimentally viable protocol and also obtain an optimal protocol which minimizes the mean cost. For both these procedures, our analysis captures both the large-time and short-time corrections. For the optimal protocol, we obtain a closed form expression for the mean cost for all protocol durations, thereby making contact with earlier work on geometric measures of dissipation-minimizing optimal protocols that implement information erasure.

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。

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