Thermodynamics with multiple conserved quantities offers a promising direction for designing novel devices. For example, Vaccaro and Barnett's [J. A. Vaccaro and S. M. Barnett, Proc. R. Soc. A 467, 1770 (2011); S. M. Barnett and J. A. Vaccaro, Entropy 15, 4956 (2013)] proposed information erasure scheme, where the cost of erasure is solely in terms of a conserved quantity other than energy, allows for new kinds of heat engines. In recent work, we studied the discrete fluctuations and average bounds of the erasure cost in spin angular momentum. Here we clarify the costs in terms of the spin equivalent of work, called spinlabor, and the spin equivalent of heat, called spintherm. We show that the previously found bound on the erasure cost of ${\gamma }^{-1}ln2$ can be violated by the spinlabor cost, and only applies to the spintherm cost. We obtain three bounds for spinlabor for different erasure protocols and determine the one that provides the tightest bound. For completeness, we derive a generalized Jarzynski equality and probability of violation which shows that for particular protocols the probability of violation can be surprisingly large. We also derive an integral fluctuation theorem and use it to analyze the cost of information erasure using a spin reservoir.

中文翻译：

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通过自旋水库擦除内存的热力学

具有多个守恒量的热力学为设计新型器件提供了一个有前途的方向。例如，Vaccaro 和 Barnett 的 [JA Vaccaro 和 SM Barnett，Proc。R. Soc。A 467 , 1770 (2011); SM Barnett 和 JA Vaccaro, Entropy 15 , 4956 (2013)] 提出了信息擦除方案，其中擦除成本仅根据能量以外的守恒量，允许使用新型热机。在最近的工作中，我们研究了自旋角动量中擦除成本的离散波动和平均界限。在这里，我们根据功的自旋当量（称为自旋工）和热的自旋当量（称为自旋热）来阐明成本。我们证明了先前发现的对擦除成本的约束${\gamma }^{-1}ln2$spinlabor 成本可以违反，并且仅适用于 spintherm 成本。我们为不同的擦除协议获得了三个自旋劳动的界限，并确定了提供最紧密界限的一个。为了完整起见，我们推导出了一个广义的 Jarzynski 等式和违反概率，这表明对于特定协议，违反概率可能非常大。我们还推导出了一个积分涨落定理，并用它来分析使用自旋储存器擦除信息的成本。